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21 papers · 1 filter
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 forward--backward random process for the spectrum of 1D Anderson operators
Raphael Ducatez
We give a new expression for the law of the eigenvalues of the discrete Anderson model on the finite interval , in terms of two random processes starting at both ends of the…
Hamiltonian perturbation theory for ultra-differentiable functions
Abed Bounemoura, Jacques Féjoz
Some scales of spaces of ultra-differentiable functions are introduced, having good stability properties with respect to infinitely many derivatives and compositions. They are well…
Einstein relation and linear response in one-dimensional Mott variable-range hopping
A. Faggionato, N. Gantert, M. Salvi
We consider one-dimensional Mott variable-range hopping with a bias, and prove the linear response as well as the Einstein relation, under an assumption on the exponential moments…
Weak universality for a class of 3d stochastic reaction-diffusion models
Marco Furlan, Massimiliano Gubinelli
We establish the large scale convergence of a class of stochastic weakly nonlinear reaction-diffusion models on a three dimensional periodic domain to the dynamic model wit…