Global Existence of Near-Affine Solutions to the Compressible Euler Equations
Sign Up to like & getrecommendations! Published in 2019 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-019-01387-4
Abstract: We establish the global existence of solutions to the compressible Euler equations, in the case that a finite volume of ideal gas expands into a vacuum. Vacuum states can occur with either smooth or singular… read more here.
Keywords: global existence; compressible euler; existence; solutions compressible ... See more keywords
Uniqueness of the global weak solutions to 2D compressible primitive equations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.12.035
Abstract: Abstract In this paper, we investigate an initial boundary value problem for 2D compressible primitive equations with some specific viscosities. We will prove the uniqueness of the weak solutions obtained by B.V. Gatapov and A.V.… read more here.
Keywords: uniqueness global; global weak; solutions compressible; compressible primitive ... See more keywords
A remark on the global existence of weak solutions to the compressible quantum Navier–Stokes equations
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2018.07.009
Abstract: Abstract In this paper, we obtain the global existence of weak solutions to the compressible quantum Navier–Stokes equations. By virtue of a useful identity and an interesting estimate, we solve the critical case that the… read more here.
Keywords: compressible quantum; weak solutions; solutions compressible; existence weak ... See more keywords
Global existence of weak solutions to the compressible quantum Navier-Stokes equations with degenerate viscosity
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5127797
Abstract: We study the compressible quantum Navier-Stokes (QNS) equations with degenerate viscosity in the three dimensional periodic domains. On the one hand, we consider QNS with additional damping terms. Motivated by the recent works [Li-Xin, arXiv:1504.06826]… read more here.
Keywords: global existence; compressible quantum; solutions compressible; weak solutions ... See more keywords