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Calculus of Variations, Applications and Computations, Vol. 326 Book

Calculus of Variations, Applications and Computations, Vol. 326
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  • Calculus of Variations, Applications and Computations, Vol. 326
  • Written by author Catherine Bandle
  • Published by Taylor & Francis, Inc., April 1995
  • 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 t
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Preface
Isoperimetric inequalities for a generalized multidimensional Muskat problem1
Solution of a free boundary problem of the Hele-Shaw type, in the Ovsjannikov scales16
Continuous polarization and symmetry of solutions of variational problems with potentials25
An optimal control problem for a nonlinear elliptic equation arising from population dynamics35
Global existence of functional solutions for the Vlasov-Poisson-Fokker-Planck system in 3-D with bounded measures as initial data41
Numerical methods for a forward-backward heat equation55
On a Dirichlet problem related to the invertibility of mappings arising in 2D grid generation67
On rank one convex functions which are homogeneous of degree one84
On the approximation of the curve shortening flow100
Flows through saturated mass exchanging porous media under high pressure gradients109
Existence of nontrivial solutions to the Marguerre-von Karman equations130
Quasiconvex envelopes of stored energy densities that are convex with respect to the strain tensor138
Application of quasi-steady solutions of soil freezing for geotechnical engineering147
Curvature driven interface motion167
Discretization of second order elliptic differential equations on sparse grids176
Hydrodynamic stability and a-posteriori error control in the solution of the Navier-Stokes equations188
Partial regularity for incompressible materials with approximation methods201
A note about relaxation of vectorial variational problems208
Numerical simulation of boundary layer problem with separation215
Maximal inequalities and applications to regularity problems in the calculus of variations230
Critical points for pairs of functionals and semilinear elliptic equations245
Front propagation in diffusion problems on trees254
A Gamma-limit approach for viscosity stationary solutions of a model convection equation266


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