Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations

Description

This book discusses nonlinear partial differential equations which, in exceptional circumstances, possess certain symmetries: they are invariant to a class of finite or infinitesimal transformations. The goals of this text are to prove the existence or otherwise solution of reduced nonlinear ODE's by different analytic methods, and to show that these solutions form intermediate asymptotics of a class of initial/boundary conditions arising from physical considerations. The book covers both theory and computations.

The asymptotic methods include self-similarity, balancing argument, and matched asymptotic expansions. The physical models discussed relate to porous media equation, heat equation with absorption, generalized Fisher's equation, Burgers equation and its generalizations. A chapter is devoted to nonlinear diffusion and fluid mechanics.

The book will be useful applied mathematicians, physicists, engineers and biologists, and would considerably help understand diverse natural phenomena.

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations" in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 3639
2. Generalized Solutions of Nonlinear Partial Differential Equations (North-Holland Mathematics Studies)
3. Partial Differential Equations III : Nonlinear Equations (Applied Mathematical Sciences)
4. Nonlinear Partial Differential Equations for Scien...
5. An Introduction to Nonlinear Partial Differential Equations
6. Nonlinear Partial Differential Equations in Engineering
7. Calculus of Variations and Nonlinear Partial Differential Equations
8. Nonlinear Partial Differential Equations for Scientists and Engineers
9. Differential Equations: Linear, Nonlinear, Ordinary, Partial
10. Geometric Analysis and Nonlinear Partial Differential Equations
11. Differential Equations: Linear, Nonlinear, Ordinary, Partial
12. Monotone Operators in Banach Space and Nonlinear Partial Differential Equations
13. Entire solutions of semilinear elliptic equations (Progress in Nonlinear Differential Equations and Their Applications)
14. Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
15. Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
16. Partial Differential Equations III: The Cauchy Problem. Qualitative Theory of Partial Differential Equations