By Eduard Feireisl,Trygve G. Karper,Milan Pokorný
This e-book deals a necessary advent to the mathematical conception of compressible viscous fluids. the most aim is to offer analytical tools from the point of view in their numerical functions. for that reason, we introduce the vital theoretical instruments had to deal with well-posedness of the underlying Navier-Stokes method, examine the issues of sequential balance, and, finally, build ideas by way of an implicit numerical scheme. Offering a distinct contribution – by way of exploring intimately the “synergy” of analytical and numerical equipment – the booklet deals a invaluable source for graduate scholars in arithmetic and researchers operating in mathematical fluid mechanics.
Mathematical fluid mechanics matters difficulties which are heavily hooked up to real-world functions and is additionally an enormous a part of the idea of partial differential equations and numerical research commonly. This publication highlights the truth that numerical and mathematical research should not separate fields of arithmetic. it's going to aid graduate scholars and researchers not to purely greater comprehend difficulties in mathematical compressible fluid mechanics but additionally to benefit whatever from the sector of mathematical and numerical analysis and to determine the connections among the 2 worlds. Potential readers should still own an exceptional command of the fundamental instruments of practical research and partial differential equations together with the functionality areas of Sobolev type.
Read Online or Download Mathematical Theory of Compressible Viscous Fluids: Analysis and Numerics (Advances in Mathematical Fluid Mechanics) PDF
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