On a certain class of convex functions and the exact well-posedness classes of the Cauchy problem for the transport equation in Orlicz spaces

DOI10.1007/BF02673055zbMath0917.35090MaRDI QIDQ1288110

A. V. Kazhikhov, Alexander E. Mamontov

Publication date: 11 May 1999

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

transport equationOrlicz function spacewell-posedness of the Cauchy problem

Mathematics Subject Classification ID

Related Items (3)

Nonstationary ideal incompressible fluid flows: conditions of existence and uniqueness of solutions ⋮ Existence of global solutions to multidimensional equations for Bingham fluids ⋮ Global regularity estimates for multidimensional equations of compressible non-Newtonian fluids

Cites Work

• Ordinary differential equations, transport theory and Sobolev spaces
• Well-posedness of a quasistationary model of a viscous compressible fluid
• On existence of global solutions to the two-dimensional Navier-Stokes equations for a compressible viscous fluid
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