This book provides a comprehensive introduction to the mathematical theory of compressible flow, describing both inviscid and viscous compressible flow, which are governed by the Euler and Navier-Stokes equations respectively. The method of presentation allows readers with different backgrounds to focus on various modules of the material, either in part or more fully. Chapters include detailed heuristic arguments providing motivation for technical details that are rigorously presented later on in the text. This especially concerns the existence theory for steady and unsteady Navier-Stokes equations of isentropic compressible flow, and two by two systems of Euler equations in one space dimension. These parts are presented in a textbook style with auxiliary material in supporting sections and appendices. The book includes a rich index and an extensive bibliography, which allow quick orientation on the book itself as well as in the vast literature about the mathematical theory of compressible flow.
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Book Description
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About the Author
Anton�n Novotn� is Senior Researcher at the Laboratoire ANAM, Universit� de Toulon et du Var in France. Ivan Stra%skraba is a Senior Research Scientist at the Mathematical Institute of the Academy of Sciences in the Czech Republic.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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renormalized continuity equation, advanced mathematical concepts and results, problems and bibliographic remarks, lower weak semicontinuity, finite energy weak solution, governing equations and relations, comments and bibliographic remarks, energy weak solutions, nonsteady equations, appropriately chosen subsequence, effective viscous flux, commutator lemma, viscous barotropic gas, domains with noncompact boundaries, usual mollifier, renormalized solutions, equation with dissipation, renormalized equation, smooth weak solution, energy inequality, invading domains, mathematical concepts and notation, admissible test function, results from functional analysis, flux pair Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proof Let, Proof Due, Consider the Cauchy, Beiráo da Veiga, Proof Theorem, Auxiliary Lemma Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
renormalized continuity equation, advanced mathematical concepts and results, problems and bibliographic remarks, lower weak semicontinuity, finite energy weak solution, governing equations and relations, comments and bibliographic remarks, energy weak solutions, nonsteady equations, appropriately chosen subsequence, effective viscous flux, commutator lemma, viscous barotropic gas, domains with noncompact boundaries, usual mollifier, renormalized solutions, equation with dissipation, renormalized equation, smooth weak solution, energy inequality, invading domains, mathematical concepts and notation, admissible test function, results from functional analysis, flux pair Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proof Let, Proof Due, Consider the Cauchy, Beiráo da Veiga, Proof Theorem, Auxiliary Lemma Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
Citations (learn more)
3
books
cite this book:
- Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type (Oxford Lecture Series in Mathematics and Its Applications) by Juan Luis Vï¿1/2zquez in Front Matter
- The Diophantine Frobenius Problem (Oxford Lecture Series in Mathematics and Its Applications) by Jorge L. Ramï¿1/2rez Alfonsï¿1/2n in Front Matter
- Invitation to Fixed Parameter Algorithms (Oxford Lecture Series in Mathematics and Its Applications) by Rolf Niedermeier in Front Matter
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