Geometric Theory of Semilinear Parabolic Equations PDF Download
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Author: Daniel Henry
Publisher: Springer
ISBN: 3540385282
Category : Mathematics
Languages : en
Pages : 353
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Book Description
Author: Daniel Henry
Publisher: Springer
ISBN: 3540385282
Category : Mathematics
Languages : en
Pages : 353
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Differential equations, Parabolic
Languages : en
Pages : 348
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Book Description
Author: Bei Hu
Publisher: Springer Science & Business Media
ISBN: 3642184596
Category : Mathematics
Languages : en
Pages : 137
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Book Description
There is an enormous amount of work in the literature about the blow-up behavior of evolution equations. It is our intention to introduce the theory by emphasizing the methods while seeking to avoid massive technical computations. To reach this goal, we use the simplest equation to illustrate the methods; these methods very often apply to more general equations.
Author: P. A. Vuillermot
Publisher:
ISBN:
Category :
Languages : en
Pages : 17
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Book Description
Author: James Robinson
Publisher: Springer Science & Business Media
ISBN: 9780792369769
Category : Mathematics
Languages : en
Pages : 236
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Book Description
Proceedings of the NATO Advanced Study Institute, Cambridge, UK, 21 August-1 September 1995
Author: Piere-A. Vuillermot
Publisher:
ISBN:
Category :
Languages : de
Pages :
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Book Description
Author: Victor A. Galaktionov
Publisher: CRC Press
ISBN: 0203998065
Category : Mathematics
Languages : en
Pages : 384
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Book Description
Unlike the classical Sturm theorems on the zeros of solutions of second-order ODEs, Sturm's evolution zero set analysis for parabolic PDEs did not attract much attention in the 19th century, and, in fact, it was lost or forgotten for almost a century. Briefly revived by Plya in the 1930's and rediscovered in part several times since, it was not un
Author: Ciprian G. Gal
Publisher: Springer Nature
ISBN: 3030450430
Category : Mathematics
Languages : en
Pages : 193
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Book Description
This book provides a unified analysis and scheme for the existence and uniqueness of strong and mild solutions to certain fractional kinetic equations. This class of equations is characterized by the presence of a nonlinear time-dependent source, generally of arbitrary growth in the unknown function, a time derivative in the sense of Caputo and the presence of a large class of diffusion operators. The global regularity problem is then treated separately and the analysis is extended to some systems of fractional kinetic equations, including prey-predator models of Volterra–Lotka type and chemical reactions models, all of them possibly containing some fractional kinetics. Besides classical examples involving the Laplace operator, subject to standard (namely, Dirichlet, Neumann, Robin, dynamic/Wentzell and Steklov) boundary conditions, the framework also includes non-standard diffusion operators of "fractional" type, subject to appropriate boundary conditions. This book is aimed at graduate students and researchers in mathematics, physics, mathematical engineering and mathematical biology, whose research involves partial differential equations.
Author: Tian Ma
Publisher: American Mathematical Soc.
ISBN: 0821836935
Category : Mathematics
Languages : en
Pages : 248
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Book Description
This monograph presents a geometric theory for incompressible flow and its applications to fluid dynamics. The main objective is to study the stability and transitions of the structure of incompressible flows and its applications to fluid dynamics and geophysical fluid dynamics. The development of the theory and its applications goes well beyond its original motivation of the study of oceanic dynamics. The authors present a substantial advance in the use of geometric and topological methods to analyze and classify incompressible fluid flows. The approach introduces genuinely innovative ideas to the study of the partial differential equations of fluid dynamics. One particularly useful development is a rigorous theory for boundary layer separation of incompressible fluids. The study of incompressible flows has two major interconnected parts. The first is the development of a global geometric theory of divergence-free fields on general two-dimensional compact manifolds. The second is the study of the structure of velocity fields for two-dimensional incompressible fluid flows governed by the Navier-Stokes equations or the Euler equations. Motivated by the study of problems in geophysical fluid dynamics, the program of research in this book seeks to develop a new mathematical theory, maintaining close links to physics along the way. In return, the theory is applied to physical problems, with more problems yet to be explored. The material is suitable for researchers and advanced graduate students interested in nonlinear PDEs and fluid dynamics.
Author: Philip Korman
Publisher: World Scientific
ISBN: 9814458066
Category : Mathematics
Languages : en
Pages : 254
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Book Description
This book provides an introduction to the bifurcation theory approach to global solution curves and studies the exact multiplicity of solutions for semilinear Dirichlet problems, aiming to obtain a complete understanding of the solution set. This understanding opens the way to efficient computation of all solutions. Detailed results are obtained in case of circular domains, and some results for general domains are also presented.The author is one of the original contributors to the field of exact multiplicity results.
