Global Existence and Uniqueness of Nonlinear Evolutionary Fluid Equations

DOI10.1007/978-3-0348-0594-0zbMath1317.35207OpenAlexW615604883MaRDI QIDQ4902478

Xin Liu, Taige Wang, Yu-ming Qin

Publication date: 15 January 2013

Published in: Frontiers in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0594-0

zbMATH Keywords

well-posednessglobal existencenon-Newtonian fluidmagnetohydrodynamicsmicropolar fluidNavier-Stokesradiative gas1D fluid dynamics global existence

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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