Stability of a nonlinear wave for an outflow problem of the bipolar quantum Navier-Stokes-Poisson system
DOI10.3934/dcdsb.2024007zbMath1543.35179MaRDI QIDQ6568797
Publication date: 8 July 2024
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
stationary solutionlarge-time behavioroutflow problem2-rarefaction wavebipolar quantum Navier-Stokes-Poisson system
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of semiconductors (82D37) Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Motion of charged particles (78A35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
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