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11 papers · 2 filters
Existence and uniqueness analysis of a non-isothermal cross-diffusion system of Maxwell-Stefan type
Harsha Hutridurga, Francesco Salvarani
In this article we prove local-in-time existence and uniqueness of solution to a non-isothermal cross-diffusion system with Maxwell-Stefan structure.
Maxwell-Stefan diffusion asymptotic for gas mixtures in non-isothermal setting
Harsha Hutridurga, Francesco Salvarani
A mathematical model is proposed where the classical Maxwell-Stefan diffusion model for gas mixtures is coupled to an advection-type equation for the temperature of the physical sy…
A doubly nonlinear Cahn-Hilliard system with nonlinear viscosity
Elena Bonetti, Pierluigi Colli, Luca Scarpa +1
In this paper we discuss a family of viscous Cahn-Hilliard equations with a non-smooth viscosity term. This system may be viewed as an approximation of a "forward-backward" parabol…
Rigidity and trace properties of divergence-measure vector fields
Gian Paolo Leonardi, Giorgio Saracco
We consider a -rigidity property for divergence-free vector fields in the Euclidean -space, where is a non-negative convex function vanishing only at . We show th…
A grid function formulation of a class of ill-posed parabolic equations
Emanuele Bottazzi
We study a nonstandard formulation of the Neumann initial value problem \begin{equation} \begin{array}{rl} u_t(x,t) = Δϕ(u(x,t)), & x \in Ω\subseteq \mathbb{R}^k, \ t \in \mathbb{R…
The ellipse law: Kirchhoff meets dislocations
J. A. Carrillo, J. Mateu, M. G. Mora +3
In this paper we consider a nonlocal energy whose kernel is obtained by adding to the Coulomb potential an anisotropic term weighted by a parameter . The case …