Global well-posedness to the 1D compressible quantum Navier-Stokes-Poisson equations with large initial data

DOI10.1016/j.nonrwa.2024.104148zbMath1547.35559MaRDI QIDQ6608370

Zeyuan Liu, Lan Zhang

Publication date: 19 September 2024

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

zbMATH Keywords

global solutionslarge initial datadensity-dependent viscosityvanishing dispersion limitcompressible quantum Navier-Stokes-Poisson system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Classical solutions to PDEs (35A09)

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