Asymptotic Behaviour of Solutions of Evolutionary Equations

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Asymptotic Behaviour of Solutions of Evolutionary Equations
ISBN: 0521420237
标签: 科学工程


Asymptotic Behaviour of Solutions of Evolutionary Equations
Cambridge University Press | February 26, 1993 | ISBN-10: 0521420237 | 168 pages | DJvu | 600 kb

The theme of this book is the investigation of globally asymptotic solutions of evolutionary equations, which are useful in the study of dynamical systems. The author begins with a construction of local asymptotics near the equilibrium points of Navier-Stokes equations, reaction-diffusion equations, and hyperbolic equations, which leads to a construction of global spectral asymptotics of solution of evolutionary equations, which are analogous to Fourier asymptotics in the linear case. He then deals with the global approximation of solutions of perturbed reaction diffusion equations, hyperbolic equations with dissipation, and parabolic systems. Finally, Dr. Vishik constructs the first asymptotic approximations of solution of singularly perturbed evolutionary equations.


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