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Manifolds, Tensor Analysis, and Applications
The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. The main goal is to provide a …
Theory and Applications of Stochastic Processes
Stochastic processes and diffusion theory are the mathematical underpinnings of many scientific disciplines, including statistical physics, physical chemistry, molecular …
Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models
The objective of this self-contained book is two-fold. First, the reader is introduced to the modelling and mathematical analysis used in fluid mechanics, especially concerning …
Regular and Chaotic Dynamics
Text-reference for physical scientists and engineers as well as advanced graduate students treats chaotic motion in nonlinear dynamical systems. The main emphasis of the first …
Mathematical Problems in Image Processing
Partial differential equations (PDEs) and variational methods were introduced into image processing about fifteen years ago. Since then, intensive research has been carried out. …
The Energy Method, Stability, and Nonlinear Convection
This book is a revised edition of my earlier book of the same title. The cur rent edition adopts the structure of the earlier version but is much changed. The introduction now …
A Practical Guide to Splines
This book is based on the author's experience with calculations involving polynomial splines. It presents those parts of the theory that are especially useful in calculations and …
Global Analysis in Mathematical Physics
The first edition of this book entitled Analysis on Riemannian Manifolds and Some Problems of Mathematical Physics was published by Voronezh Univer sity Press in 1989. For its …
Global Bifurcation in Variational Inequalities
Bifurcation Problems for Variational Inequalities presents an up-to-date and unified treatment of bifurcation theory for variational inequalities in reflexive spaces and the use of …
Normally Hyperbolic Invariant Manifolds in Dynamical Systems
In the past ten years, there has been much progress in understanding the global dynamics of systems with several degrees-of-freedom. An important tool in these studies has been the …
Critical Point Theory and Hamiltonian Systems
FACHGEB The last decade has seen a tremendous development in critical point theory in infinite dimensional spaces and its application to nonlinear boundary value problems. In …
Random Perturbation Methods with Applications in Science and Engineering
This book develops methods for describing random dynamical systems, and it illustrats how the methods can be used in a variety of applications. Appeals to researchers and graduate …