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