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Asymptotic Behaviour of Solutions

Asymptotic Behaviour of Solutions

Paperback

Series: Lezioni Lincee

General MathematicsProbability & Statistics

ISBN10: 052142237X
ISBN13: 9780521422376
Publisher: Cambridge University Press
Published: Jan 28 1993
Pages: 166
Weight: 0.48
Height: 0.41 Width: 5.45 Depth: 8.49
Language: English
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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