1st Edition

Calculus of Variations, Applications and Computations



ISBN 9780582239623
Published April 26, 1995 by Chapman and Hall/CRC
296 Pages

USD $200.00

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Book Description

This research presents some important domains of partial differential equations and applied mathematics including calculus of variations, control theory, modelling, numerical analysis and various applications in physics, mechanics and engineering. These topics are now part of many areas of science and have experienced tremendous development during the last decades.

Table of Contents

Preface
Isoperimetric Inequalities for a Generalized Multidimensional Muskat Problem
Solution of a Free Boundary Problem of the Hele-Shaw Type, in the Ovsjannikov Scales
Continuous Polarization and Symmetry of Solutions of Variational Problems with Potentials
An Optimal Control Problem for a Nonlinear Elliptic Equation Arising from Population Dynamics
Global existence of Functional Solutions for the Vlasov-Poisson-Fokker-Planck System in 3 D with Bounded Measures as Initial Data
Numerical Methods for a Forward Backward Heat Equation
On a Dirichlet Problem Related to the Invertibility of Mappings Arising in 2D Grid Generation
On Rank One Convex Functions Which are Homogeneous of Degree One
On the Approximation of the Curve Shortening Flow
Flows Through Saturated Mass Exchanging Porous Media Under High Pressure Gradients
Existence of Nontrivial Solutions to the Marguerre-Von Karman Equations,
Quasiconvex Envelopes of Stored Energy Densities that are Convex with Respect to the Strain Tensor
Application of Quasi Steady Solutions of Soil Freezing for Geotechnical Engineering
Curvature Driven Interface Motion
Discretization of Second Order Elliptic Differential Equations on Sparse Grids
Hydrodynamic stability and a Posterior Error Control in the Solution of the Navier-Stokes Equations
Partial Regularity for Incompressible Materials with Approximation Methods
A Note About Relaxation of Vectorial Variational Problems
Numerical Simulation of Boundary Layer Problem with Separation
Maximal Inequalities and Applications to Regularity Problems in the Calculus of Variations
Critical Points for Pairs of Functionals and Semilinear Elliptic Equations
Front Propagation in Diffusion Problems on Trees
A Gamma Limit Approach for Viscosity Stationary Solutions of a Model Convection Equation

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