| Asymptotic Behaviour of Soluti Contributor(s): Vishik, M. I. (Author) |
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ISBN: 0521420237 ISBN-13: 9780521420235 Publisher: Cambridge University Press OUR PRICE: $121.60 Product Type: Hardcover - Other Formats Published: February 1993 |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - Partial - Mathematics | Probability & Statistics - General |
| Dewey: 515.353 |
| LCCN: 92014394 |
| Series: Lezioni Lincee |
| Physical Information: 0.5" H x 5.5" W x 8.5" (0.80 lbs) 168 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |