A Riemann–Hilbert problem and the Bernoulli boundary condition in the variational theory of Stokes waves
A rigorous derivation of free-boundary problem arising in superconductivity
A semidiscretization scheme for a phase-field type model for solidification.
A singular equation with positive and free boundary solutions.
Para 0 < β < 1 consideramos la ecuación -Δu = χ{u > 0} (-u-β + λf(x, u)) en Ω con condición de borde tipo Dirichlet. Esta ecuación posee una solución maximal uλ ≥ 0 para todo λ > 0. Si λ es menor que una cierta constante λ*, uλ se anula en el interior del dominio creando una frontera libre, y para λ > λ* esta solución es positiva en Ω y estable. Establecemos la regularidad de uλ incluso en presencia de una frontera libre. Para λ ≥ λ* la solución del problema...
A stability result in the localization of cavities in a thermic conducting medium
We prove a logarithmic stability estimate for a parabolic inverse problem concerning the localization of unknown cavities in a thermic conducting medium in , , from a single pair of boundary measurements of temperature and thermal flux.
A stability result in the localization of cavities in a thermic conducting medium
We prove a logarithmic stability estimate for a parabolic inverse problem concerning the localization of unknown cavities in a thermic conducting medium Ω in , n ≥ 2, from a single pair of boundary measurements of temperature and thermal flux.
A stationary flow of fresh and salt groundwater in a heterogeneous coastal aquifer
Si stabilisce l'esistenza e l'unicità di una soluzione monotona per il problema di frontiera libera correlato al flusso stazionare d'acqua dolce e salata intorno ad un acquifero eterogeneo. Si provano la continuità e l'esistenza di un limite asintotico della frontiera libera.
A stationary Stefan problem with convection and nonlinear diffusion.
A Stefan problem for the heat equation subject to an integral condition
A Survey on Mathematical Modelling of Deposition in Waxy Crude Oils
Waxy Crude Oils (WCO’s) are characterized by the presence of heavy paraffins in sufficiently large concentrations. They exhibit quite complex thermodynamical and rheological behaviour and present the peculiar property of giving rise to the formation of segregated wax deposits, when temperature falls down the so called WAT, or Wax Appearance Temperature. In extreme cases, segregated waxes may lead to pipeline occlusion due to deposition on cold walls....
A temperature control problem.
A unilateral thermoelastic Stefan-type problem
A variational treatment for general elliptic equations of the flame propagation type : regularity of the free boundary
A waiting time phenomenon for thin film equations
About mathematical models of phase transitions.
About the interface of some nonlinear diffusion problems.
Abrupt and smooth separation of free boundaries in flow problems
Actions on environment under uncertainty: stochastic formulation and the associated deterministic problem.
Adapting meshes and time-steps for phase change problems
We address the numerical approximation of the two-phase Stefan problem and discuss an adaptive finite element method based on rigorous a posteriori error estimation and refinement/coarsening. We also investigate how to restrict coarsening for the resulting method to be stable and convergent. We review implementation issues associated with bisection and conclude with simulations of a persistent corner singularity, for which adaptivity is an essential tool.
Adaptive fast marching and level set methods for propagating interfaces.