1st Edition

Calculus of Variations, Applications and Computations

    296 Pages
    by Chapman & Hall

    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.

    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


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