Global dissipative solutions of the defocusing isothermal Euler–Langevin–Korteweg equations
DOI10.3233/ASY-211681MaRDI QIDQ5029358
Publication date: 14 February 2022
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.06863
augmented systemsdissipative solutionsrelative entropy estimatesEuler-Langevin-Korteweg systemNavier-Stokes-Langevin-Korteweg system
KdV equations (Korteweg-de Vries equations) (35Q53) Navier-Stokes equations (35Q30) NLS equations (nonlinear Schrödinger equations) (35Q55) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) 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) Euler equations (35Q31)
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