Add to ORKGtextWe study the regularity of weak solutions for the Stefan and Hele- Shaw problems with Gibbs-Thomson law under special conditions. The main result says that whenever the free boundary is Lipschitz in space and time it becomes (instantaneously) C[superscript 2,alpha] in space and its mean curvature is Hölder continuous. Additionally, a similar model related to the Signorini problem is introduced, in this case it is shown that for large times weak solutions converge to a stationary configuration.Mathematic
We study the Cauchy–Dirichlet problem associated to a phase transition modeled upon the degenerate t...
We study the Cauchy–Dirichlet problem associated to a phase transition modeled upon the degenerate t...
We present a time discretization for the single phase Stefan problem with Gibbs-Thomson law. The met...
We provide existence of a unique smooth solution for a class of one- and two-phase Stefan problems w...
The Stefan problem with Gibbs-Thomson law describes solidification phenomena for pure substances. In...
The Stefan problem with Gibbs-Thomson law describes solidification phenomena for pure substances. In...
The Stefan problem is coupled with a spatially inhomogeneous and anisotropic Gibbs-Thomson condition...
We present a time discretization for the single phase Stefan problem with Gibbs--Thomson law. The me...
We formulate a Stefan problem on an evolving hypersurface and study the well posedness of weak solut...
We study the Cauchy–Dirichlet problem associated to a phase transition modeled upon the degenerate t...
We provide perturbative estimates for the one-phase Stefan free boundary problem and obtain the regu...
We provide perturbative estimates for the one-phase Stefan free boundary problem and obtain the regu...
AbstractExistence and regularity of the free boundary s(t) are demonstrated for the weak solution u ...
AbstractExistence and regularity of the free boundary s(t) are demonstrated for the weak solution u ...
In this paper we start the study of the regularity properties of the free boundary, for parabolic tw...
We study the Cauchy–Dirichlet problem associated to a phase transition modeled upon the degenerate t...
We study the Cauchy–Dirichlet problem associated to a phase transition modeled upon the degenerate t...
We present a time discretization for the single phase Stefan problem with Gibbs-Thomson law. The met...
We provide existence of a unique smooth solution for a class of one- and two-phase Stefan problems w...
The Stefan problem with Gibbs-Thomson law describes solidification phenomena for pure substances. In...
The Stefan problem with Gibbs-Thomson law describes solidification phenomena for pure substances. In...
The Stefan problem is coupled with a spatially inhomogeneous and anisotropic Gibbs-Thomson condition...
We present a time discretization for the single phase Stefan problem with Gibbs--Thomson law. The me...
We formulate a Stefan problem on an evolving hypersurface and study the well posedness of weak solut...
We study the Cauchy–Dirichlet problem associated to a phase transition modeled upon the degenerate t...
We provide perturbative estimates for the one-phase Stefan free boundary problem and obtain the regu...
We provide perturbative estimates for the one-phase Stefan free boundary problem and obtain the regu...
AbstractExistence and regularity of the free boundary s(t) are demonstrated for the weak solution u ...
AbstractExistence and regularity of the free boundary s(t) are demonstrated for the weak solution u ...
In this paper we start the study of the regularity properties of the free boundary, for parabolic tw...
We study the Cauchy–Dirichlet problem associated to a phase transition modeled upon the degenerate t...
We study the Cauchy–Dirichlet problem associated to a phase transition modeled upon the degenerate t...
We present a time discretization for the single phase Stefan problem with Gibbs-Thomson law. The met...