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