Frank Pacard – författare
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2 produkter
2 produkter
Del 39 - Progress in Nonlinear Differential Equations and Their Applications
Linear and Nonlinear Aspects of Vortices
The Ginzburg-andau Model
Inbunden, Engelska, 2000
1 076 kr
Skickas inom 10-15 vardagar
The authors begin with a general presentation of the theory and then proceed to study problems using weighted Holder spaces and Sobolev spaces. These are particularly powerful tools and help us obtain a deeper understanding of the non-linear partial differential equations associated with Ginzburg-Landau vortices. Such an approach sheds new light on the links between the geometry of vortices and the number of solutions. Aimed at mathematicians, physicists, engineers, and graduate students, this monographs should be useful in a number of contexts in the non-linear analysis of problems arising in geometry or mathematical physics. The material presented covers recent and original results by the authors, and should serve as an classroom text or a self-study resource.
Del 39 - Progress in Nonlinear Differential Equations and Their Applications
Linear and Nonlinear Aspects of Vortices
The Ginzburg-andau Model
Häftad, Engelska, 2012
1 083 kr
Skickas inom 10-15 vardagar
Equations of the Ginzburg–Landau vortices have particular applications to a number of problems in physics, including phase transition phenomena in superconductors, superfluids, and liquid crystals. Building on the results presented by Bethuel, Brazis, and Helein, this current work further analyzes Ginzburg-Landau vortices with a particular emphasis on the uniqueness question. The authors begin with a general presentation of the theory and then proceed to study problems using weighted Hölder spaces and Sobolev Spaces. These are particularly powerful tools and help us obtain a deeper understanding of the nonlinear partial differential equations associated with Ginzburg-Landau vortices. Such an approach sheds new light on the links between the geometry of vortices and the number of solutions. Aimed at mathematicians, physicists, engineers, and grad students, this monograph will be useful in a number of contexts in the nonlinear analysis of problems arising in geometry or mathematical physics. The material presented covers recent and original results by the authors, and will serve as an excellent classroom text or a valuable self-study resource.