Titlebook: Dynamics of Evolutionary Equations; George R. Sell,Yuncheng You Book 2002 Springer Science+Business Media New York 2002 Dynamical Systems.

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Linear Semigroups,inite dimensional versions of solutions of the finite dimensional linear ordinary differential equation ... = ..In particular, the ..-semigroup corresponds to the solution operator or the fundamental solution matrix, and the infinitesimal generator corresponds to the linear coefficient matrix .. We

指耕作

Basic Theory of Evolutionary Equations,f ..-semigroups. As we have seen, this theory allows one to construct mild solutions of many linear partial differential equations with constant coefficients. Our objective in this chapter is to generalize this theory so that it applies first to the linear inhomogeneous equation . and then the nonli

指耕作

Nonlinear Partial Differential Equations,ally interested here in those nonlinear evolutionary equations which arise in the analysis of two broad classes of partial differential equations: parabolic evolutionary equations and hyperbolic evolutionary equations. While our usage of the terms “parabolic” and “hyperbolic” in this context is moti

Bmd955

Navier-Stokes Dynamics,sfer and its effects on global climate modeling and weather prediction; 2) flows of multiphased fluids and oil recovery; 3) behavior of chemical solutes in lakes, harbors and river basins; 4) geothermal consequences of magma flows; and 5) fluid flows in thin films. In order to understand the modelin

子女

Major Features of Dynamical Systems,corresponding theories for the finite dimensional problems appear in a number of sources, as noted in the Commentary Section. Our emphasis here will be on the infinite dimensional theory, in the context of general nonlinear evolutionary equations. Most of the applications will be to the theory of so

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