Global weak solutions to a quantum kinetic-fluid model with large initial data
DOI10.1016/j.nonrwa.2022.103822zbMath1519.35327OpenAlexW4312033053MaRDI QIDQ6099581
Publication date: 20 June 2023
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2022.103822
weak solutionsdensity-dependent viscositykinetic-fluid modelquantum Bohm potentialnonlinear friction force
General and philosophical questions in quantum theory (81P05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Vlasov equations (35Q83) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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