Embeddedness and uniqueness of minimal surfaces solving a partially free boundary value problem.
Error control and adaptivity for a phase relaxation model
Error Control and Andaptivity for a Phase Relaxation Model
The phase relaxation model is a diffuse interface model with small parameter ε which consists of a parabolic PDE for temperature θ and an ODE with double obstacles for phase variable χ. To decouple the system a semi-explicit Euler method with variable step-size τ is used for time discretization, which requires the stability constraint τ ≤ ε. Conforming piecewise linear finite elements over highly graded simplicial meshes with parameter h are further employed for space discretization. A posteriori...
Error Estimates for a Semi-Explicit Numerical Scheme for Stefan-Type Problems.
Error estimates for Euler forward scheme related to two-phase Stefan problems
Error estimates of a fully discrete linear approximation scheme for Stefan problem.
Error estimates on homogenization of free boundary velocities in periodic media
Estimation of the conductivity in the one-phase Stefan problem : numerical results
Étude du nombre de solutions pour une classe d'équations elliptiques non-linéaires qui se prolongent en problèmes à frontière libre
Exact solutions for nonclassical Stefan problems.
Existence and approximation results for gradient flows
This note addresses the Cauchy problem for the gradient flow equation in a Hilbert space
Existence and geometric properties of solutions of a free boundary problem in potential theory.
Existence and multiplicity of solutions to elliptic problems with discontinuities and free boundary conditions.
Existence and regularity for a minimum problem with free boundary.
Existence and regularity of solutions of a phase field model for solidification with convection of pure materials in two dimensions.
Existence and uniqueness for one-phase Stefan problems of nonclassical heat equations with temperature boundary condition at a fixed face.
Existence of local solutions for free boundary problems for viscous compressible barotropic fluids
We prove the local existence of solutions for equations of motion of a viscous compressible barotropic fluid in a domain bounded by a free surface. The solutions are shown to exist in exactly those function spaces where global solutions were found in our previous papers [14, 15].
Existence of solution for a free boundary problem in a nonlinear piecewise homogeneous medium
Existence of solution to transpiration control problem.
Existence of solutions for the one-phase and the multi-layer free-boundary problems with the -Laplacian operator.