Analysis of Hydrodynamic Models presents a concise treatment of a number of partial differential equations of hydrodynamic origin, including the incompressible Euler equations, SQG, Boussinesq, incompressible porous medium, and Oldroyd-B. The author’s approach is based on properties of the particle trajectory maps and on analysis of the back-and-forth passage between the Lagrangian and the Eulerian descriptions. This concise, unified approach brings readers up to date on current open problems.
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Presents a concise treatment of a number of partial differential equations of hydrodynamic origin, including the incompressible Euler equations, SQG, Boussinesq, incompressible porous medium, and Oldroyd-B. The author's approach is based on properties of the particle trajectory maps and on analysis of the back-and-forth passage between the Lagrangian and the Eulerian descriptions.
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PrefaceChapter 1: IntroductionChapter 2: Lagrangian and Eulerian descriptions of hydrodynamic systemsChapter 3: Hydrodynamic modelsChapter 4: Spaces and operatorsChapter 5: The Langrangian-Eulerian existence theoremsChapter 6: Critical dissipative active scalarsBibliographyIndex.
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Produktdetaljer

ISBN
9781611974799
Publisert
2017-06-30
Utgiver
Vendor
Society for Industrial & Applied Mathematics,U.S.
Vekt
180 gr
Høyde
229 mm
Bredde
152 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
62

Forfatter

Om bidragsyterne

Peter Constantin is the John von Neumann Professor in the Department of Mathematics and Director of PACM (Program in Applied and Computational Mathematics) at Princeton University. He was an Alfred P. Sloan Research Fellow (1986–1990) and is a Fellow of the Institute of Physics, a SIAM Fellow, a Fellow of the American Academy of Arts and Sciences, and an AMS Inaugural Fellow. He has served on the editorial boards of several journals and published over 170 papers and two books.