This book describes three classes of nonlinear partial integro-differential equations. These
models arise in electromagnetic diffusion processes and heat flow in materials with memory …

We perform some 3D numerical experiments for the approximation of the solutions to a bead
type thermistor problem. We consider the case of a diagonal anisotropic diffusion matrix …

A partial regularity theorem is established for weak solutions of elliptic equations of the form
div(A(y)∇ψ)=0. Here we allow the possibility that the eigenvalues of A(y) are not bounded …

In this paper we conceive and analyze a discrete duality finite volume (DDFV) scheme for
the unsteady generalized thermistor problem, including ap-Laplacian for the diffusion and a …

An optimal control of a two dimensional time dependent thermistor problem is considered.
The problem consists of two nonlinear partial differential equations coupled with appropriate …

A generalized thermistor model is discretized thanks to a fully implicit vertex-centered finite
volume scheme on simplicial meshes. An assumption on the stiffness coefficients is …

We prove the existence of weak solutions for the thermistor problem with degeneracy by
using a regularization and truncation process. The solution of the regularized-truncated …

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We investigate the boundedness of weak solutions to the initial boundary-value problem for
the system {∂ u ∂ t-div (K (u) ∇ u)= σ (u)| ∇ φ|^ 2,\div\left (σ (u) ∇ φ\right)= 0. in the case …

We shall discuss a variety of drift-diffusion equations and their properties. The choice is not
intended to be comprehensive, rather it reflects to considerable extent the author's interests …