Trends in Nonlinear Analysis

Front Cover
Markus Kirkilionis, Susanne Krömker, Rolf Rannacher, Friedrich Tomi
Springer Science & Business Media, Apr 17, 2013 - Mathematics - 419 pages
Applied mathematics is a central connecting link between scientific observations and their theoretical interpretation. Nonlinear analysis has surely contributed major developments which nowadays shape the face of applied mathematics. At the beginning of the millennium, all sciences are expanding at increased speed. Technological, ecological, economical and medical problem solving is a central issue of every modern society. Mathematical models help to expose fundamental structures hidden in these problems and serve as unifying tools to deepen our understanding. What are the new challenges applied mathematics has to face with the increased diversity of scientific problems? In which direction should the classical tools of nonlinear analysis be developed further? How do new available technologies influence the development of the field? How can problems be solved which have been beyond reach in former times? It is the aim of this book to explore new developments in the field by way of discussion of selected topics from nonlinear analysis.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Interview with Willi Jäger
1
Some Nonclassical Trends in Parabolic
3
From Molecular Dynamics
6
SpatioTemporal Dynamics
22
4
25
References
140
and Paraboliclike Evolutions
153
References
178
References
264
to Conformation Dynamics in Drug Design
268
A Posteriori Error Estimates
289
References
305
via Coupled Anisotropic Geometric Diffusion
315
A Mathematical Birds Eye View
322
References
337
References
373

Mathematical Aspects of Design
193
References
222

Other editions - View all

Common terms and phrases