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
  
• 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
  
• 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
  
• 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
  
• 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
  
• 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