Global existence and large time behavior of solutions for compressible quantum magnetohydrodynamics flows in T3
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.03.060
Abstract: Abstract The present paper concerns with compressible quantum magnetohydrodynamic flows in T 3 . This new model was derived by Haas [13] from a Wigner–Maxwell system. First, we reformulate this system as the quantum Euler–Maxwell… read more here.
Keywords: global existence; compressible quantum; behavior solutions; time behavior ... 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