Global solutions to the cauchy problem of the stokes approximation equations for two-dimensional compressible flows

DOI10.1080/03605309808821376zbMath0909.35107OpenAlexW2091133494MaRDI QIDQ4212420

Lu Min, A. V. Kazhikhov, Seiji Ukai

Publication date: 24 November 1998

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309808821376

zbMATH Keywords

weak solutionglobal existenceclassical solutionNavier-Stokes systemmean densitylarge initial data\(L(p)\) a priori estimates for densitycompressible barotropic flows

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items

Convergence to equilibria and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows with large data, Weak and strong solutions for the Stokes approximation of non-homogeneous incompressible Navier-Stokes equations, Recent Mathematical Results and Open Problems about Shallow Water Equations, Large-time behavior of solutions to the Stokes approximation equations for two-dimensional compressible flows, Some uniform estimates and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows

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