Author : Tomás Roubicek
Publisher : Springer Science & Business Media
Page : 415 pages
File Size : 18,82 MB
Release : 2006-01-17
Category : Mathematics
ISBN : 3764373970
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition quickly leads general theory to analysis of concrete equations, which have specific applications in such areas as electrically (semi-) conductive media, modeling of biological systems, and mechanical engineering. Methods of Galerkin or of Rothe are exposed in a large generality.
Author : Nicolae H. Pavel
Publisher :
Page : 296 pages
File Size : 38,18 MB
Release : 2014-01-15
Category :
ISBN : 9783662199435
Author : Victor A. Galaktionov
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 38,55 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461220505
* Introduces a state-of-the-art method for the study of the asymptotic behavior of solutions to evolution partial differential equations. * Written by established mathematicians at the forefront of their field, this blend of delicate analysis and broad application is ideal for a course or seminar in asymptotic analysis and nonlinear PDEs. * Well-organized text with detailed index and bibliography, suitable as a course text or reference volume.
Author : Sören Bartels
Publisher : Springer
Page : 394 pages
File Size : 48,21 MB
Release : 2015-01-19
Category : Mathematics
ISBN : 3319137972
The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.
Author : Mi-Ho Giga
Publisher : Springer Science & Business Media
Page : 307 pages
File Size : 41,91 MB
Release : 2010-05-30
Category : Mathematics
ISBN : 0817646515
This work will serve as an excellent first course in modern analysis. The main focus 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. This textbook will be an excellent resource for self-study or classroom use.
Author : Shigeaki Koike
Publisher : Springer
Page : 261 pages
File Size : 11,3 MB
Release : 2022-04-17
Category : Mathematics
ISBN : 9789813348240
This volume features selected, original, and peer-reviewed papers on topics from a series of workshops on Nonlinear Partial Differential Equations for Future Applications that were held in 2017 at Tohoku University in Japan. The contributions address an abstract maximal regularity with applications to parabolic equations, stability, and bifurcation for viscous compressible Navier–Stokes equations, new estimates for a compressible Gross–Pitaevskii–Navier–Stokes system, singular limits for the Keller–Segel system in critical spaces, the dynamic programming principle for stochastic optimal control, two kinds of regularity machineries for elliptic obstacle problems, and new insight on topology of nodal sets of high-energy eigenfunctions of the Laplacian. This book aims to exhibit various theories and methods that appear in the study of nonlinear partial differential equations.
Author : J. Malek
Publisher : CRC Press
Page : 334 pages
File Size : 39,59 MB
Release : 2019-08-16
Category : Mathematics
ISBN : 1000723127
This book provides a concise treatment of the theory of nonlinear evolutionary partial differential equations. It provides a rigorous analysis of non-Newtonian fluids, and outlines its results for applications in physics, biology, and mechanical engineering.
Author : Lokenath Debnath
Publisher : Springer Science & Business Media
Page : 602 pages
File Size : 38,45 MB
Release : 2013-11-11
Category : Mathematics
ISBN : 1489928464
This expanded and revised second edition is a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied applications. Building upon the successful material of the first book, this edition contains updated modern examples and applications from diverse fields. Methods and properties of solutions, along with their physical significance, help make the book more useful for a diverse readership. The book is an exceptionally complete text/reference for graduates, researchers, and professionals in mathematics, physics, and engineering.
Author : Gaston M. N'Guérékata
Publisher :
Page : 0 pages
File Size : 24,30 MB
Release : 2012
Category : Evolution equations
ISBN : 9781616684259
This book presents and discusses current research in the study of linear and non-linear evolution equations. Topics discussed include semi-linear abstract differential equations; singular solutions of a semi-linear elliptic equation on non-smooth domains; non-linear parabolic systems with non-linear boundaries; the decay of solutions of a non-linear BBM-Burgers System and critical curves for a degenerate parabolic system with non-linear boundary conditions.
Author : Xiaxi Ding
Publisher : American Mathematical Soc.
Page : 653 pages
File Size : 46,34 MB
Release : 1997
Category : Mathematics
ISBN : 0821806610
This volume contains the proceedings from the International Conference on Nonlinear Evolutionary Partial Differential Equations held in Beijing in June 1993. The topic for the conference was selected because of its importance in the natural sciences and for its mathematical significance. Discussion topics include conservation laws, dispersion waves, Einstein's theory of gravitation, reaction-diffusion equations, the Navier-Stokes equations, and more. New results were presented and are featured in this volume. Titles in this series are co-published with International Press, Cambridge, MA.
