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Analysis of Hydrodynamic Models [Minkštas viršelis]

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Analysis of Hydrodynamic ModelsDidesnis paveikslėlis
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This work presents lecture notes based on the Conference Board of Mathematical Sciences-National Science Foundation’s Regional Research Conference lectures, delivered in 2014 at Oklahoma State University. Discussion centers on classical solutions of certain partial differential equations related to hydrodynamics. The material provides a unified mathematic approach for local existence and uniqueness based on solution paths, along with global regularity results for nonlocal dissipative active scalar equations. Coverage encompasses Lagrangian and Eulerian descriptions of hydrodynamic systems, spaces and operators, Lagrangian-Eulerian existence theorems, and critical dissipative active scalars. Annotation ©2019 Ringgold, Inc., Portland, OR (protoview.com)
Preface
Chapter 1: Introduction
Chapter 2: Lagrangian and Eulerian descriptions of hydrodynamic systems
Chapter 3: Hydrodynamic models
Chapter 4: Spaces and operators
Chapter 5: The Langrangian-Eulerian existence theorems
Chapter 6: Critical dissipative active scalars
Bibliography
Index.
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 (19861990) 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.