A decomposition method for a semilinear boundary value problem with a quadratic nonlinearity.
A decomposition theorem for solutions of parabolic equations.
A deformation theorem in the noncompact nonsmooth setting and its applications.
A degenerate parabolic equation in noncylindrical domains.
A degenerate parabolic system for three-phase flows in porous media
A classical model for three-phase capillary immiscible flows in a porous medium is considered. Capillarity pressure functions are found, with a corresponding diffusion-capillarity tensor being triangular. The model is reduced to a degenerate quasilinear parabolic system. A global existence theorem is proved under some hypotheses on the model data.
A density theorem about some system
A description of blow-up for the solid fuel ignition model
A description of self-similar blow-up for dimensions
A Dicontinuous Solution of a Mildly Nonlinear Elliptic System.
A difference method for a nonlinear system of elliptic equations with mixed derivatives
A difference scheme for an elliptic system of nonlinear differential-functional equations with Dirichlet type boundary conditions. The existence and uniqueness of solution
A differential inclusion : the case of an isotropic set
In this article we are interested in the following problem: to find a map that satisfieswhere is an open set of and is a compact isotropic set of . We will show an existence theorem under suitable hypotheses on .
A differential inclusion: the case of an isotropic set
In this article we are interested in the following problem: to find a map that satisfies where Ω is an open set of and E is a compact isotropic set of . We will show an existence theorem under suitable hypotheses on φ.
A diffuse interface fractional time-stepping technique for incompressible two-phase flows with moving contact lines
For a two phase incompressible flow we consider a diffuse interface model aimed at addressing the movement of three-phase (fluid-fluid-solid) contact lines. The model consists of the Cahn Hilliard Navier Stokes system with a variant of the Navier slip boundary conditions. We show that this model possesses a natural energy law. For this system, a new numerical technique based on operator splitting and fractional time-stepping is proposed. The method is shown to be unconditionally stable. We present...
A diffused interface whose chemical potential lies in a Sobolev space
We study a singular perturbation problem arising in the scalar two-phase field model. Given a sequence of functions with a uniform bound on the surface energy, assume the Sobolev norms of the associated chemical potential fields are bounded uniformly, where and is the dimension of the domain. We show that the limit interface as tends to zero is an integral varifold with a sharp integrability condition on the mean curvature.
A diffusion equation for composite materials.
A diffusion problem with gradient constraint and evolutive Dirichlet condition
A diffusion reaction system modelling spatial patterns
A Direct Approach to the Determination of Gaussian and Scalar Curvature Functions.
A Direct Approach to the Mellin Transform.