Regularity of minimal boundaries with obstacles
Regularity of optimal shapes for the Dirichlet’s energy with volume constraint
In this paper, we prove some regularity results for the boundary of an open subset of which minimizes the Dirichlet’s energy among all open subsets with prescribed volume. In particular we show that, when the volume constraint is “saturated”, the reduced boundary of the optimal shape (and even the whole boundary in dimension 2) is regular if the state function is nonnegative.
Regularity of optimal shapes for the Dirichlet's energy with volume constraint
In this paper, we prove some regularity results for the boundary of an open subset of which minimizes the Dirichlet's energy among all open subsets with prescribed volume. In particular we show that, when the volume constraint is “saturated”, the reduced boundary of the optimal shape (and even the whole boundary in dimension 2) is regular if the state function is nonnegative.
Regularity of the free boundary for non degenerate phase transition problems of parabolic type
Regularity of the Poisson kernel and free boundary problems
Revisited isoperimetric inequalities for the p-capacity and application to the muskat problem
Risultati di regolarità, stabilità, instabilità e biforcazione per un problema a frontiera libera
Semigroup approach to the Stefan problem with non-linear flux
Un problema di Stefan a due fasi con condizione di flusso non lineare sulla parte fissa della frontiera è affrontato mediante la teoria dei semigruppi di contrazione in . Si dimostra l'esistenza e l’unicità della soluzione nel senso di Crandall-Liggett e Bénilan.
Shape optimization and trial methods for free boundary problems
Sharp estimates of the curvature of some free boundaries in two dimensions.
Sharp L...-Error Estimates for Semilinear Elliptic Problems with Free Boundaries.
Simulation of continuously deforming parabolic problems by Galerkin finite-elements method.
Soliton type asymptotic solutions of the conserved phase field system.
Solution of Stefan problems by fully discrete linear schemes.
Solvability of a three-dimensional boundary value problem with a free surface for the stationary Navier-Stokes system
Solvability of two stationary free boundary problems for the Navier-Stokes equations
Si studiano due problemi con frontiera libera per equazioni stazionarie di Navier-Stokes: il problema del movimento di un liquido viscoso incomprimibile generato dalla rotazione di una sbarra rigida immersa nel liquido con velocità angolare assegnata e il problema della fuoriuscita di un liquido da un tubo circolare nello spazio libero. Si assegna l'angolo di contatto tra la frontiera libera e la superficie del tubo e, nel secondo problema, il flusso totale del liquido attraverso l'apertura del...
Some global bifurcation problems for variational inequalities
Some new results on a Stefan problem in a concentrated capacity
An existence and uniqueness theorem for a nonlinear parabolic system of partial differential equations, connected with the theory of heat conduction with a transition phase in a concentrated capacity, is given in sufficiently general hypotheses on the data.
Some results on the well-posedness of an integro-differential Frémond model for shape memory alloys.
Some uniqueness results for Bernoulli interior free-boundary problems in convex domains.