In this paper, a box approximation scheme is proposed using the lumped mass numerical
integration technique on piecewise linear nite element spaces for a coupled nonlinear …

In this paper we investigate regularity properties of weak solutions to a PDE system that
arises in the study of biological transport networks. The system consists of a possibly …

This paper is devoted to the analysis of a linearized theta‐Galerkin finite element method for
the time‐dependent coupled systems resulting from microsensor thermistor problems …

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 present some regularity results for solutions to the system− Δu= σ (u)|∇ φ|
2, div (σ (u)∇ φ)= 0 in the case where σ (u) is allowed to oscillate between 0 and a positive …

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 …

In this paper we study the existence and partial regularity of weak solutions to an elliptic-
parabolic system that models the single-phase miscible displacement of one incompressible …

In this paper, we establish an existence assertion for the following elliptic system: coupled
with suitable boundary conditions. This problem arises from the study of semiconductor …

We present an existence result for the time domain eddy current model for electromagnetic
field, coupled with a Stefan problem for temperature. We have extended the existence result …

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 …