Mathematical Theory of Compressible Viscous Fluids (eBook) von Eduard Feireisl
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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 fluid mechanics 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 numerical analysis 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.Eduard Feireisl is a Senior Researcher at the Institute of Mathematics of the Academy of Sciences of the Czech Republic. His main research interests include the theory of partial differential equations and dynamical systems with applications in fluid dynamics.
Milan Pokorny is an Associate Professor at the Charles University in Prague whose work primarily involves the theory of partial differential equations in mathematical fluid dynamics.
Trygve Karper is a researcher at Schlumberger whose work focuses on numerical methods for compressible flows and the multiphase flow simulator OLGA.
Schlagwörter zu:
Mathematical Theory of Compressible Viscous Fluids von Eduard Feireisl - mit der ISBN: 9783319448350
compressible Navier-Stokes system; compressible viscous fluids; discontinuous Galerkin method; partial differential equations; upwind discretization; weak solution; well-posedness; B; Mathematical Physics; Functional Analysis; Numerical Analysis; Fourier Analysis; Mathematical Methods in Physics; Differential Equations; Mathematics and Statistics, Online-Buchhandlung
Kunden Rezensionen: Mathematical Theory of Compressible Viscous Fluids | Buch oder eBook | Eduard Feireisl
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