Calculus of Variations, Applications and Computations: 1st Edition (Hardback) book cover

Calculus of Variations, Applications and Computations

1st Edition

By C Bandle, Michel Chipot, J Saint Jean Paulin, Josef Bemelmans, I Shafrir

Chapman and Hall/CRC

296 pages

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Hardback: 9780582239623
pub: 1995-04-26
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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


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

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Differential Equations