Mathematical Theory of Compressible Viscous Fluids: Analysis by Eduard Feireisl,Trygve G. Karper,Milan Pokorný PDF

By Eduard Feireisl,Trygve G. Karper,Milan Pokorný

This publication bargains a necessary creation to the mathematical idea of compressible viscous fluids. the most objective is to provide analytical equipment from the viewpoint in their numerical purposes. consequently, we introduce the primary 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 – through exploring intimately the “synergy” of analytical and numerical tools – the ebook bargains a important source for graduate scholars in arithmetic and researchers operating in mathematical fluid mechanics. 

Mathematical fluid mechanics issues difficulties which are heavily attached to real-world functions and can also be a tremendous a part of the speculation of partial differential equations and numerical research typically. This ebook highlights the truth that numerical and mathematical research aren't separate fields of arithmetic. it is going to support graduate scholars and researchers not to purely larger comprehend difficulties in mathematical compressible fluid mechanics but additionally to benefit anything from the sector of mathematical and numerical analysis and to determine the connections among the 2 worlds. Potential readers may still own an exceptional command of the fundamental instruments of sensible research and partial differential equations together with the functionality areas of Sobolev type.



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Mathematical Theory of Compressible Viscous Fluids: Analysis and Numerics (Advances in Mathematical Fluid Mechanics) by Eduard Feireisl,Trygve G. Karper,Milan Pokorný

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