Nonlinear Evolution Equations
Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, October 17-19, 1977
Published on 10. May 2014
266 pages
978-1-4832-6928-3 (ISBN)
Description
Nonlinear Evolution Equation covers the proceedings of the Symposium by the same title, conducted by the Mathematics Research Center at the University of Wisconsin, Madison on October 17-19, 1977. This book is divided into 13 chapters and begins with reviews of the uniqueness of solution to systems of conservation laws and the computational aspects of Glimm's method. The next chapters examine the theoretical and practical aspects of Boltzmann, Navier-Stokes, and evolution equations. These topics are followed by discussions of the practical applications of Trotter's product formula for some nonlinear semigroups and the finite time blow-up in nonlinear problems. The closing chapters deal with a Hamiltonian approach to the K-dV and other equations, along with a variational method for finding periodic solutions of differential equations. This book will prove useful to mathematicians and engineers.
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Michael G. Crandall
Nonlinear Evolution Equations
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01/1978
Academic Press
€35.90
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Content
List of ContributorsPrefaceEntropy and the Uniqueness of Solutions to Hyperbolic Conservation LawsComputational Aspects of Glimm's MethodThe Initial Value Problem of the Boltzmann Equation and Its Fluid Dynamical Limit at the Level of Compressible Euler EquationOn Some Problems Connected with Navier Stokes EquationsEverywhere Defined Wave OperatorsAsymptotic Behavior of Solutions of Evolution EquationsResults and Open Questions in the Asymptotic Theory of Reaction-Diffusion EquationsAsymptotic Behavior of Some Evolution SystemsTrotter's Product Formula for Some Nonlinear SemigroupsApplication of Nonlinear Semigroup Theory to Certain Partial Differential EquationsFinite Time Blow-Up in Nonlinear ProblemsA Hamiltonian Approach to the K-dV and Other EquationsA Variational Method for Finding Periodic Solutions of Differential EquationsIndex
