Nonlinear Partial Differential Equations Asymptotic Behavior of Solutions and Self-Similar Solutions
The main focus of this textbook, in two parts, is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. The exposition moves systematically from the basic to more sophisticated concepts...
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| Autor Corporativo: | |
| Otros Autores: | , |
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Boston :
Birkhäuser Boston
2010.
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| Colección: | Progress in Nonlinear Differential Equations and Their Applications ;
79. Springer eBooks. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b32905683*spi |
Tabla de Contenidos:
- Asymptotic Behavior of Solutions of Partial Differential Equations
- Behavior Near Time Infinity of Solutions of the Heat Equation
- Behavior Near Time Infinity of Solutions of the Vorticity Equations
- Self-Similar Solutions for Various Equations
- Useful Analytic Tools
- Various Properties of Solutions of the Heat Equation
- Compactness Theorems
- Calculus Inequalities
- Convergence Theorems in the Theory of Integration.
