Global weak solutions for quantum isothermal fluids
DOI10.5802/aif.3489zbMath1504.35218arXiv1905.00732OpenAlexW2942831026MaRDI QIDQ2087365
Rémi Carles, Kleber Carrapatoso, Matthieu Hillairet
Publication date: 27 October 2022
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.00732
weak solutionsNavier-Stokes equationrenormalized solutionsKorteweg equationquantum isothermal fluids
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Weak solutions to PDEs (35D30)
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