GRK 1529:  Mathematical Fluid Dynamics

• Fachliche Zuordnung: Mathematik
• Förderung: Förderung von 2009 bis 2018
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 69014896

• Erstellungsjahr: 2018

Zusammenfassung der Projektergebnisse

In modern mathematical fluid dynamics, fundamental well-posedness questions for viscous and inviscid fluids as well as more applied topics such as vorticity behavior, boundary layers and free boundary value problems for Newtonian, complex as well as for geophysical fluids play a dominant role. The rigorous mathematical treatment of the underlying structures requires novel concepts and methods from various disciplines in mathematics ranging from modeling, analysis and stochastics over numerics, optimization and inverse problems up to the theory of computability and complexity. The IRTG 1529 aimed to examine the mathematical structures of the underlying equations and to apply the results to various models describing e.g. geophysical flows, fluid mixtures, hydrodynamic limits, and free or moving boundary value problems for complex fluids. Major contributions to these problems are due to the principal investigators from Waseda University, University of Tokyo and TU Darmstadt. Students with a thorough background in at least one of the fields of analysis, stochastics, modeling, complexity and computablity theory, numerics, sceintific computation or optimization received an interdisciplinary education in key areas of mathematical fluid dynamics, enabling them to successfully pursue research on problems, which without our common study program and without the cooperation with our Japanese partners would have been much more difficult or even impossible to handle. The yearlong interdisciplinary course, and later on special courses and seminars taught jointly by our German-Japanese team, provided students with one common scientific language in fluid dynamics. This broad but nevertheless focused education was needed to successfully treat our scientific projects. The research of our students was guided by an advisor and co-advisors in Darmstadt and Tokyo. Students from Darmstadt were requested to spend at least 6 months in Tokyo working there with their coadvisor. Due to this international component, the scientific visibility of the PhDs was certainly a high one. IRTG 1529 was embedded in a very active and well established research environment in Darmstadt and its counterparts in Tokyo. Our extensive conference and guest programs exposed our students to latest research results and gave them the opportunity to interact with leading experts already at an early stage of their projects. Special courses or tutorials were often embedded into workshops or conferences organized by IRTG 1529. The combiniation between tutorials and the presentation of prevailing research results within workshops was very sucessful and ensured that almost all of our doctoral students completed their PhD within 3 years. After a thesis written by an IRTG student was submitted to the Department of Mathematics at TU Darmstadt, the thesis committee needed to require at least one official report on this thesis by the Japanese co-advisor of this student. His judgement including his grade were taken into account with equal weight as the other reports. The scientific output of all projects includes in total 410 publications in refereed journals, in particular 287 publications, often in excellent journals, authored or coauthored by students or postdocs inside IRTG 1529 funded by DFG and JSPS and 73 joint German-Japanese publications, also often in excellent journals, authored or coauthored by students, postdocs or professors inside IRTG 1529 and funded by DFG or JSPS.

Projektbezogene Publikationen (Auswahl)

• Local existence and blow-up criterion for the Euler equations in Besov spaces of weak type, J. E Equ., 8, (2008), 693–725
  R. Takada
  (Siehe online unter https://doi.org/10.1007/s00028-008-0403-6)
• A continuous adjoint approach to shape optimization for Navier-Stokes flow, Optimal control of coupled systems of partial differential equations, International Series of Numerical Mathematics, Birkhäuser, 158, (2009), 35–56
  C. Brandenburg, F. Lindemann, M. Ulbrich, S. Ulbrich
  (Siehe online unter https://doi.org/10.1007/978-3-7643-8923-9_2)
• Asymptotic profiles of steady Stokes and Navier-Stokes flows around a rotating obstacle, Ann. Univ. Ferrera, 55, (2009), 263–277
  R. Farwig, T. Hishida
  (Siehe online unter https://doi.org/10.1007/s11565-009-0072-6)
• Difference approximation to Aubry-Mather sets, RIMS Kôkyûroku, Kyoto University, 1688, (2009), 7-19
  K. Soga
  
• Energy-based regularity criteria for the Navier-Stokes equations, J. Math. Fluid Mech., 11, (2009), 428–442
  R. Farwig, H. Kozono, H. Sohr
  (Siehe online unter https://doi.org/10.1007/s00021-008-0267-0)
• Finite-type invariants for curves on surfaces, Proc. Japan Acad. Ser. A Math. Sci., 85, (2009), 129–134
  N. Ito
  (Siehe online unter https://doi.org/10.3792/pjaa.85.129)
• On the Lp − Lq maximal regularity for the linear thermoelastic plate equation in a bounded domain, Math. Methods Appl. Sci., 32, (2009), no. 13, 1609–1637
  Y. Naito
  (Siehe online unter https://doi.org/10.1002/mma.1100)
• On the Lpp analytic semigroup associated with the linear thermoelastic plate equations in the half-space, J. Math. Soc. Japan, 61, (2009), no. 4, 971–1011
  Y. Naito, Y. Shibata
  (Siehe online unter https://doi.org/10.2969/jmsj/06140971)
• On the Stokes operator in general unbounded domains, Hokkaido Math. J., 38, (2009), 111–136
  R. Farwig, H. Kozono, H. Sohr
  (Siehe online unter https://doi.org/10.14492/hokmj/1248787007)
• Periodic solutions of the forced Burgers equation, RIMS Kôkyûroku, 1631, (2009), 147–159
  T. Nishida, K. Soga
  
• Stability of plane Couette flows with respect to small periodic perturbations, Nonlinear Anal., 71, (2009), 3739–3758
  H. Heck, H. Kim, H. Kozono
  (Siehe online unter https://doi.org/10.1016/j.na.2009.02.034)
• Uniqueness of Positive Solutions for a Nonlinear Elliptic System, NoDEA, 16, (2009), 555–567
  N. Ikoma
  (Siehe online unter https://doi.org/10.1007/s00030-009-0017-x)
• A point-wise criterion for quasi-periodic motions in the KAM theory, Nonlinear Analysis, 73, (2010), 3151-3161
  K. Soga
  (Siehe online unter https://doi.org/10.1016/j.na.2010.06.058)
• Asymptotic behaviors and classical limits of solutions to a quantum drift-diffusion model for semiconductors, Math. Models Methods Appl. Sci., 20, (2010), 909–936
  S. Nishibata, N. Shigeta, M. Suzuki
  (Siehe online unter https://doi.org/10.1142/S0218202510004477)
• Asymptotic stability of stationary solutions to the Euler-Poisson equations arising in plasma physics, Kinet. Relat. Models, 4, (2010), 569–588
  M. Suzuki
  (Siehe online unter https://doi.org/10.3934/krm.2011.4.569)
• Construction of invariants of curves and fronts using word theory, J. Knot Theory Ramifications, 19, (2010), 1205–1245
  N. Ito
  (Siehe online unter https://doi.org/10.1142/S0218216510008406)
• Counterexamples of commutator estimates in the Besov and the Triebel-Lizorkin spaces related to the Euler equations, SIAM J. Math. Anal., 42, (2010), 2473–2483
  R. Takada
  (Siehe online unter https://doi.org/10.1137/100782498)
• Existence of standing waves for coupled nonlinear Schrödinger equations, Tokyo J. Math., 33, (2010), 89–116
  N. Ikoma
  (Siehe online unter https://doi.org/10.3836/tjm/1279719580)
• Global weak solutions of the Navier-Stokes system with nonzero boundary conditions, Funkcialaj Ekvacioj, 53, (2010), 231–247
  R. Farwig, H. Kozono, H. Sohr
  (Siehe online unter https://doi.org/10.1619/fesi.53.231)
• Low frequency expansion in thermoelasticity with second sound in three dimensions, J. Math. Soc. Japan, 62, (2010), 1289–1316
  Y. Naito, R. Racke, Y. Shibata
  (Siehe online unter https://doi.org/10.2969/jmsj/06241289)
• Non-existence of finite-time self-similar solutions of the Keller-Segel system in the scaling invariant class, J. Math. Anal. Appl., 365, (2010), 60–66
  H. Kozono, Y. Sugiyama, R. Takada
  (Siehe online unter https://doi.org/10.1016/j.jmaa.2009.09.063)
• Nonlinear Partial Differential Equations. Progress in Nonlinear Differential Equations and their Applications, 79, Birkhauser Boston, 2010
  M.-H. Giga, Y. Giga, and J. Saal
  (Siehe online unter https://doi.org/10.1007/978-0-8176-4651-6)
• Nonlinear scalar field equations in RN : mountain pass and symmetric mountain pass approaches, Topol. Methods Nonlinear Anal., 35, (2010), 253–276
  J. Hirata, N. Ikoma, K. Tanaka
  
• On quasilinear parabolic evolution equations in weighted Lp-spaces, J. Evol. Equ., 10, (2010), no. 2, 443–463
  M. Köhne, J. Prüss, M. Wilke
  (Siehe online unter https://doi.org/10.1007/s00028-010-0056-0)
• On the energy equality of Navier-Stokes equations in general domains, Arch. Math., 95, (2010), 447–456
  R. Farwig, Y. Taniuchi
  (Siehe online unter https://doi.org/10.1007/s00013-010-0187-0)
• Periodic solutions of the Navier-Stokes equations with inhomogeneous boundary conditions, Ann. Univ. Ferrara Sez. VII Sci. Mat., 56, (2010), 249–281
  R. Farwig, T. Okabe
  (Siehe online unter https://doi.org/10.1007/s11565-010-0108-y)
• Periodic solutions of the Navier-Stokes equations with inhomogeneous boundary conditions, Ann. Univ. Ferrara Sez. VII Sci. Mat., 56, (2010), 249–281
  R. Farwig, T. Okabe
  (Siehe online unter https://doi.org/10.1007/s11565-010-0108-y)
• Regularity of weak solutions for the Navier-Stokes system via energy criteria, In: Adv. Math. Fluid Mech., Springer, (2010), 215—227
  R. Farwig, H. Kozono, H. Sohr
  (Siehe online unter https://doi.org/10.1007/978-3-642-04068-9_13)
• Relaxation limit and initial layer to hydrodynamic models for semiconductors, J. Differential Equations, 249, (2010), 1385–1409
  S. Nishibata, M. Suzuki
  (Siehe online unter https://doi.org/10.1016/j.jde.2010.06.008)
• Remarks on the Lp-approach to the Stokes equation on unbounded domains, Discrete Contin. Dyn. Syst. Ser. S, 3, (2010), 291–297
  M. Geissert, H. Heck, M. Hieber, O. Sawada
  (Siehe online unter https://doi.org/10.3934/dcdss.2010.3.291)
• Remarks on the Lp-approach to the Stokes equation on unbounded domains, Discrete Contin. Dyn. Syst. Ser. S, 3, (2010), 291–297
  M. Geissert, H. Heck, M. Hieber, O. Sawada
  (Siehe online unter https://doi.org/10.3934/dcdss.2010.3.291)
• The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework. Math. Z., 265, (2010), 481–491
  M. Hieber, Y. Shibata
  (Siehe online unter https://doi.org/10.1007/s00209-009-0525-8)
• A local mountain pass type result for a system of nonlinear Schrödinger equations, Calc. Var. Partial Differential Equations, 40, (2011), 449–480
  N. Ikoma, K. Tanaka
  (Siehe online unter https://doi.org/10.1007/s00526-010-0347-x)
• A non-autonomous model problem for the Oseen-Navier-Stokes flow with rotating effects, J. Math. Soc. Japan, 63, (2011), 1027–1037
  M. Geissert, T. Hansel
  (Siehe online unter https://doi.org/10.2969/jmsj/06331027)
• Asymptotic Behavior of a Leray Solution around a Rotating Obstacle, Progress in Nonlinear Differential Equations and Their Applications, 60, (2011), 251–266
  G. P. Galdi, M. Kyed
  (Siehe online unter https://doi.org/10.1007/978-3-0348-0075-4_13)
• Asymptotic profiles of steady Stokes and Navier-Stokes flows around a rotating obstacle. Manuscripta Math., 136, (2011), 315–338
  R. Farwig, T. Hishida
  (Siehe online unter https://doi.org/10.1007/s00229-011-0479-0)
• Asymptotic Structure of a Leray solution to the Navier-Stokes flow around a rotating body, Pacific J. Math., 253, (2011), 367–382
  R. Farwig, G.P. Galdi, M. Kyed
  (Siehe online unter https://doi.org/10.2140/pjm.2011.253.367)
• Chain homotopy maps for Khovanov homology, J. Knot Theory Ramifications, 20, (2011), 127– 139
  N. Ito
  (Siehe online unter https://doi.org/10.1142/S0218216511008656)
• Finite type invariants of nanowords and nanophrases, Topology Appl., 158, (2011), 1050–1072
  N. Ito, A. Gibson, N. Ito
  (Siehe online unter https://doi.org/10.1016/j.topol.2011.02.008)
• Global Leray-Hopf weak solutions of the Navier-Stokes equations with nonzero timedependent boundary values, In: Parabolic Problems: Progr. Nonlineear Differential Equations, 80, (2011), 211–232
  R. Farwig, H. Kozono, H. Sohr
  (Siehe online unter https://doi.org/10.1007/978-3-0348-0075-4_11)
• Global weak solutions of the Navier-Stokes system with nonhomogeneous boundary data and divergence, Rend. Semin. Mat. Univ. Padova, 125, (2011), 51–70
  R. Farwig, H. Kozono, H. Sohr
  (Siehe online unter https://doi.org/10.4171/RSMUP/125-4)
• Global well-posedness for Keller-Segel system in Besov type spaces, J. Math. Anal. Appl., 379, (2011), 930–948
  T. Iwabuchi
  (Siehe online unter https://doi.org/10.1016/j.jmaa.2011.02.010)
• Hierarchy of semiconductor equations: relaxation limits with initial layers for large initial data, MSJ Mem., 26, (2011)
  S. Nishibata, M. Suzuki (eds.)
  (Siehe online unter https://doi.org/10.1142/e028)
• Invariants of Handlebody-Knots via Yokota's Invariants
  A. Mizusawa, J. Murakami
  (Siehe online unter https://doi.org/10.48550/arXiv.1112.2719)
• L1-maximal regularity for the Laplacian and applications, Discrete Contin. Dyn. Syst., supplement, 2011, (2011), 495–504
  Y. Giga, J. Saal
  (Siehe online unter https://doi.org/10.3934/proc.2011.2011.495)
• Leading term at infinity of steady Navier-Stokes flow around a rotating obstacle, Math. Nachr., 284, (2011), 2065–2077
  R. Farwig, T. Hishida
  (Siehe online unter https://doi.org/10.1002/mana.200910192)
• Non-autonomous Ornstein-Uhlenbeck equations in exterior domains, Adv. Differential Equations, 16, (2011), no. 3-4, 201–220
  T. Hansel, A. Rhandi
  
• On the analyticity and the almost periodicity of the solution to the Euler equations with non-decaying initial velocity, J. Funct. Anal., 260, (2011), no. 7, 2148–2162
  O. Sawada, R. Takada
  (Siehe online unter https://doi.org/10.1016/j.jfa.2010.12.011)
• On the Navier-Stokes flow with rotating effect and prescribed outflow velocity, J. Math. Fluid Mech., 13, (2011), 405–419
  T. Hansel
  (Siehe online unter https://doi.org/10.1007/s00021-010-0026-x)
• Periodic solutions of the Navier-Stokes equations with the inhomogeneous time dependent boundary data under the general flux condition, J. Evol. Equ., 11, (2011), 265–286
  T. Okabe
  (Siehe online unter https://doi.org/10.1007/s00028-010-0091-x)
• Steady-state Navier-Stokes flows past a rotating body: Leray solutions are physically reasonable, Arch. Ration. Mech. Anal., 200, (2011), 21–58
  G. P. Galdi, M. Kyed
  (Siehe online unter https://doi.org/10.1007/s00205-010-0350-6)
• The Influence of frequency-limited and noise-contaminated sensing on reactive turbulence control schemes, Seventh International Symposium on Turbulence and Shear Flows, (2011)
  A. Stroh, B. Frohnapfel, Y. Hasegawa, N. Kasagi, C. Tropea
  
• The Influence of frequency-limited and noise-contaminated sensing on reactive turbulence control schemes, Seventh International Symposium on Turbulence and Shear Flows, (2011)
  A. Stroh, B. Frohnapfel, Y. Hasegawa, N. Kasagi, C. Tropea
  
• The spin-coating process: analysis of the free boundary value problem, Comm. Partial Differential Equations, 36, (2011), no. 7, 1145–1192
  R. Denk, M. Geissert, M. Hieber, J. Saal, O. Sawada
  (Siehe online unter https://doi.org/10.1080/03605302.2010.546469)
• The spin-coating process: analysis of the free boundary value problem, Comm. Partial Differential Equations, 36, (2011), no. 7, 1145–1192
  R. Denk, M. Geissert, M. Hieber, J. Saal, O. Sawada
  (Siehe online unter https://doi.org/10.1080/03605302.2010.546469)
• Uniqueness of almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains, J. Evol. Equ., 11, (2011), 485–500
  R. Farwig, Y. Taniuchi
  (Siehe online unter https://doi.org/10.1007/s00028-010-0098-3)
• Weak solutions of the Navier-Stokes system with nonzero boundary values in an exterior domain, In: Math. Analysis of the Navier-Stokes equations and related topics, past and future, Gakuto, Tokyo, 35, (2011), 31–52
  R. Farwig, H. Kozono, F. Riechwald
  
• A description of Bourgain-Pavlovíc’s ill-posedness theorem of the Navier-Stokes equations in the critical Besov space, Harmonic analysis and nonlinear partial differential equations, RIMS Kôkyûroku Bessatsu, B33, Res. Inst. Math. Sci. (RIMS), Kyoto, (2012), 59–85
  O. Sawada
  
• An approach to rotating boundary layers based on vector radon measures, J. Math. Fluid Mech., (2012), 1–39
  Y. Giga, J. Saal
  (Siehe online unter https://doi.org/10.1007/s00021-012-0094-1)
• Asymptotic stability of boundary layers to the Euler-Poisson equations arising in plasma physics, SIAM J. Math. Anal., 44, (2012), 761–790
  S. Nishibata, M. Ohnawa, M. Suzuki
  (Siehe online unter https://doi.org/10.1137/110835657)
• Continuous limit of random walks and its application to approximation of nonlinear PDEs, RIMS Kôkyûroku, 1782, (2012), 122–134
  K. Soga
  
• Difference approximation to Aubry-Mather sets of the forced Burgers equation, Nonlinearity, 25, (2012), no. 9, 2401–2422
  T. Nishida, K. Soga
  (Siehe online unter https://doi.org/10.1088/0951-7715/25/9/2401)
• Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls, Ann. Inst. H. Poincaré Anal. Non Linéaire, 29, (2012), no. 5, 783–812
  N. Ikoma, H. Ishii
  (Siehe online unter https://doi.org/10.1016/j.anihpc.2012.04.004)
• Fluid flows around floating bodies, I: The hydrostatic case, J. Math. Fluid Mech., 14, (2012), no. 4, 751–770
  J. Bemelmans, G. P. Galdi, M. Kyed
  (Siehe online unter https://doi.org/10.1007/s00021-011-0090-x)
• Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates, Journal of Difference Equations and Applications, 18, (2012), 1163-1181
  Y. Enatsu, G. Izzo, Y. Muroya, Y. Nakata, A. Vecchio
  (Siehe online unter https://doi.org/10.1080/10236198.2011.555405)
• Global existence results for Oldroyd-B fluids in exterior domains, J. Differential Equations, 252, (2012), 2617–2629
  M. Hieber, Y. Naito, Y. Shibata
  (Siehe online unter https://doi.org/10.1016/j.jde.2011.09.001)
• Global existence results for Oldroyd-B fluids in exterior domains, J. Differential Equations, 252, (2012), no. 3, 2617–2629
  M. Hieber, Y. Naito, Y. Shibata
  (Siehe online unter https://doi.org/10.1016/j.jde.2011.09.001)
• Global stability for a discrete SIS epidemic model with immigration of infectives, Journal of Difference Equations and Applications, 18, (2012), 1913-1924
  Y. Enatsu, Y. Muroya, Y. Nakata
  (Siehe online unter https://doi.org/10.1080/10236198.2011.602973)
• Global well–posedness for the rotating Navier–Stokes–Boussinesq equations with stratification effects, Adv. Math. Sci. Appl., 22, (2012), no. 1, 61–90
  H. Koba, A. Mahalov, T. Yoneda
  
• Growth rate modeling and identification in the crystallization of polymers, Inverse Problems, 28, (2012), 13 pp.
  Y. Liu, M. Yamamoto, X. Xu
  (Siehe online unter https://doi.org/10.1088/0266-5611/28/9/095008)
• Influence of surface tension models on the hydrodynamics of wavy laminar falling films in Volume of Fluid-simulations, Int. J. Multiphase Flow., 43, (2012), 66–71
  C. Albert, D. Bothe, H. Raach
  (Siehe online unter https://doi.org/10.1016/j.ijmultiphaseflow.2012.02.011)
• Leray’s inequality for fluid flow in symmetric multi-connected two-dimensional domains, Tokyo J. Math., 35, (2012), 63–70
  R. Farwig, H. Morimoto
  (Siehe online unter https://doi.org/10.3836/tjm/1342701344)
• Leray’s inequality in general multi-connected domains in Rn, Math. Ann., 354, (2012), 137–145
  R. Farwig, H. Kozono, T. Yanagisawa
  (Siehe online unter https://doi.org/10.1007/s00208-011-0716-6)
• Lp-theory for a generalized nonlinear viscoelastic fluid model of differential type in various domains, Nonlinear Anal., 75, (2012), 5015–5026
  M. Geissert, D. G¨otz, M. Nesensohn
  (Siehe online unter https://doi.org/10.1016/j.na.2012.04.016)
• Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model, Nonlinear Analysis: Real World Applications, 13, (2012), 2120-2133
  Y. Enatsu, Y. Muroya, Y. Nakata
  (Siehe online unter https://doi.org/10.1016/j.nonrwa.2012.01.007)
• Maximal Lp-regularity for a 2D fluid-solid interaction problem, Spectral theory, mathematical system theory, evolution equations, differential and difference equations, Oper. Theory Adv. Appl., Birkhäuser, 221, (2012), 373–384
  K. Götze
  (Siehe online unter https://doi.org/10.1007/978-3-0348-0297-0_19)
• Motion of inertial particles in Gaussian fields driven by an infinite-dimensional fractional Brownian motion, Dyn. Syst., 27, (2012), 431–457
  G. Schöchtel
  (Siehe online unter https://doi.org/10.1080/14689367.2012.715143)
• On a generalization of the global attractivity for a periodically forced Pielou’s equation, J. of Difference Equations and Applications 18 (2012), 375-396
  K. Ishihara, Y. Nakata
  (Siehe online unter https://doi.org/10.1080/10236198.2010.503239)
• On radial solutions of inhomogeneous nonlinear scalar field equations, J. of Math. Anal. Appl., 386, (2012), 744–762
  N. Ikoma
  (Siehe online unter https://doi.org/10.1016/j.jmaa.2011.08.032)
• On the stationary Navier-Stokes flows around a rotating body, Manuscripta Math., 138, (2012), 315–345
  H. Heck, H. Kim, H. Kozono
  (Siehe online unter https://doi.org/10.1007/s00229-011-0494-1)
• On uniqueness of stationary solutions to the Navier-Stokes equations in exterior domains, Nonlinear Anal., 75, (2012), 3457–3464
  T. Nakatsuka
  (Siehe online unter https://doi.org/10.1016/j.na.2011.12.032)
• Propagation of the analyticity for the solution to the Euler equations with nondecaying initial velocity, RIMS Kôkyûroku Bessatsu, B33, (2012), 97–109
  O. Sawada, R. Takada
  
• The half-twisted splice operation on reduced knot projections, J. Knot Theory Ramifications, 21, (2012), no. 11, 10 pp.
  N. Ito, A. Shimizu
  (Siehe online unter https://doi.org/10.1142/S021821651250112X)
• The influence of frequency-limited and noise-contaminated sensing on reactive turbulence control schemes, J. Turbulence, 13, (2012)
  A. Stroh, B. Frohnapfel, Y. Hasegawa, N. Kasagi, C. Tropea
  (Siehe online unter https://doi.org/10.1080/14685248.2012.679343)
• The influence of frequency-limited and noise-contaminated sensing on reactive turbulence control schemes, J. Turbulence, 13, (2012)
  A. Stroh, B. Frohnapfel, Y. Hasegawa, N. Kasagi, C. Tropea
  (Siehe online unter https://doi.org/10.1080/14685248.2012.679343)
• Time periodic solutions to the Navier-Stokes equations in the rotational framework, J. Evol. Equ., 12, (2012), 985–1000
  T. Iwabuchi, R. Takada
  (Siehe online unter https://doi.org/10.1007/s00028-012-0165-z)
• Weak Neumann implies Stokes, J. Reine Angew. Math., 669, (2012), 75–100
  M. Geissert, H. Heck, M. Hieber, O. Sawada
  (Siehe online unter https://doi.org/10.1515/CRELLE.2011.150)
• Weak Neumann implies Stokes, J. Reine Angew. Math., 669, (2012), 75–100
  M. Geissert, H. Heck, M. Hieber, O. Sawada
  (Siehe online unter https://doi.org/10.1515/CRELLE.2011.150)
• A simple proof of Lq-estimates for the steady–state Oseen and Stokes equations in a rotating frame. Part I: Strong solutions, Proc. Amer. Math. Soc., 141, (2013), 573–583
  G. P. Galdi, M. Kyed
  (Siehe online unter https://doi.org/10.1090/S0002-9939-2012-11638-7)
• A simple proof of Lq-estimates for the steady–state Oseen and Stokes equations in a rotating frame. Part II: Weak solutions, Proc. Amer. Math. Soc., 141, (2013), 1313–1322
  G. P. Galdi, M. Kyed
  (Siehe online unter https://doi.org/10.1090/S0002-9939-2012-11640-5)
• Analytic rates of solutions to the Euler equations, Discrete Contin. Dyn. Syst. Ser. S, 6, (2013), no. 5, 1409–1415
  O. Sawada
  (Siehe online unter https://doi.org/10.3934/dcdss.2013.6.1409)
• Analyticity of the Stokes semigroup in spaces of bounded functions, Acta Math., 211, (2013), 1–46
  K. Abe, Y. Giga
  (Siehe online unter https://doi.org/10.1007/s11511-013-0098-6)
• Asymptotic profile of a linearized Navier-Stokes flow past a rotating body, Quart. Appl. Math., 71, (2013), no. 3, 489–500
  M. Kyed
  (Siehe online unter https://doi.org/10.1090/S0033-569X-2013-01288-7)
• Dispersive effect of the Coriolis force for the Navier-Stokes equations in the rotational framework, RIMS Kôkyûroku Bessatsu, B42, (2013), 137–152
  T. Iwabuchi, R. Takada
  
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