Numerical analysis for the heat flux in a mixed elliptic problem to obtain a discrete steady-state two-phase Stefan problem

Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity.. Annales

The following result guarantees that up to arbitrarily small precision, we can achieve steady-state to state- state boundary control while maintaining a positive temperature in

Two additional conditions have to be satisfied on this boundary: the temperature T equals a melting temperature Tm and the heat flow exhibits a jump corresponding to the absorption

Convergence results prove that it is possible to replace a problem of identifying the latent heat by a continuous problem issued from the regularisation.. The difficulties inherent

Lorsqu’un écrit scientifique issu d’une activité de recherche financée au moins pour moitié par des dotations de l’État, des collectivités territoriales ou des

For that pur- pose, we need to state and demonstrate two important results: first we investigate the grand canonical measures of the process and we prove an ergodic decomposition of

Going back to the one-phase Stefan problem, it can be shown that there exists a projection operator P which maps any nonnegative initial data f to P f , which is the unique solution

More precisely, we prove existence and uniqueness of the solution for this problem in two different settings: the case with degenerated enthalpy function and a fixed vectorial