Mathematical Theory of Compressible Viscous Fluids

Name: Mathematical Theory of Compressible Viscous Fluids
Brand: Springer Nature
SKU: 9783319448343
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Mathematical Theory of Compressible Viscous Fluids

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Springer Nature

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9783319448343

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This book offers an essential introduction to the mathematical theory of compressible viscous fluids. The main goal is to present analytical methods from the perspective of their numerical applications. Accordingly, we introduce the principal theoretical tools needed to handle well-posedness of the underlying Navier-Stokes system, study the problems of sequential stability, and, lastly, construct solutions by means of an implicit numerical scheme.Offering a unique contribution by exploring in detail the synergy of analytical and numerical methods the book offers a valuable resource for graduate students in mathematics and researchers working in mathematical fluid mechanics. Mathematical fluidmechanics concerns problems that are closely connected to real-world applications and is also an important part of the theory of partial differential equations and numerical analysis in general. This book highlights the fact that numerical and mathematical analysis are not two separate fields of mathematics. It will help graduate students and researchers to not only better understand problems in mathematical compressible fluid mechanics but also to learn something from the field of mathematical and numericalanalysis and to see the connections between the two worlds.Potential readers should possess a good command of the basic tools of functional analysis and partial differential equations including the function spaces of Sobolev type.

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