Freie Randwertprobleme für Navier-Stokes Gleichungen

• Applicant: Professor Dr. Jan Prüß (†)
• Subject Area: Mathematics
• Term: from 2008 to 2014
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 62645645

• Final Report Year: 2015

Final Report Abstract

No abstract available

Publications

• On quasilinear parabolic evolution equations in weighted Lp-spaces, J. Evol. Equ. 10 (2010), no. 2, 443–463. MR 2643804 (2011f:35181)
  Matthias Köhne, Jan Prüss, and Mathias Wilke
  
• On the Rayleigh-Taylor instability for the twophase Navier-Stokes equations, Indiana Univ. Math. J. 59 (2010), no. 6, 1853– 1871. MR 2919738
  Jan Prüss and Gieri Simonett
  
• On the two-phase Navier-Stokes equations with surface tension, Interfaces Free Bound. 12 (2010), no. 3, 311–345. MR 2727674
  Jan Prüss and Gieri Simonett
  
• On well-posedness of incompressible two-phase flows with phase transitions: the case of non-equal densities, J. Evol. Equ. 12 (2012), no. 4, 917–941. MR 3000462
  Jan Prüss and Senjo Shimizu
  (See online at https://doi.org/10.1007/s00028-012-0161-3)
• On wellposedness of incompressible two-phase flows with phase transitions: the case of equal densities, Evol. Equ. Control Theory 1 (2012), no. 1, 171–194. MR 3085224
  Jan Prüss, Yoshihiro Shibata, Senjo Shimizu, and Gieri Simonett
  (See online at https://doi.org/10.3934/eect.2012.1.171)
• On the qualitative behaviour of incompressible two-phase flows with phase transitions: the case of equal densities, Interfaces Free Bound. 15 (2013), no. 4, 405–428. MR 3148628
  Jan Prüss, Gieri Simonett, and Rico Zacher
  (See online at https://doi.org/10.4171/IFB/308)
• Qualitative behavior of solutions for thermodynamically consistent Stefan problems with surface tension, Arch. Ration. Mech. Anal. 207 (2013), no. 2, 611–667. MR 3005325
  Jan Prüss, Gieri Simonett, and Rico Zacher
  (See online at https://doi.org/10.1007/s00205-012-0571-y)
• Qualitative behaviour of solutions for the two-phase Navier-Stokes equations with surface tension, Math. Ann. 356 (2013), no. 2, 737–792. MR 3048614
  Matthias Köhne, Jan Prüss, and Mathias Wilke
  
• On quasilinear parabolic evolution equations in weighted Lp-spaces II, J. Evol. Equ. 14 (2014), no. 3, 509–533. MR 3250797
  Jeremy LeCrone, Jan Prüss, and Mathias Wilke
  (See online at https://doi.org/10.1007/s00028-014-0226-6)
• Qualitative behaviour of incompressible two-phase flows with phase transitions: the case of non-equal densities, Comm. Partial Differential Equations 39 (2014), no. 7, 1236–1283. MR 3208808
  Jan Prüss, Senjo Shimizu, and Mathias Wilke
  (See online at https://doi.org/10.1080/03605302.2013.821131)