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5 papers · 2 filters
Upscaling a model for the thermally-driven motion of screw dislocations
Thomas Hudson
We formulate and study a stochastic model for the thermally-driven motion of interacting straight screw dislocations in a cylindrical domain with a convex polygonal cross-section.…
Global existence of bounded weak solutions to degenerate cross-diffusion equations in moving domain
Athmane Bakhta, Virginie Ehrlacher
The aim of this note is to present preliminary existence results for a system of cross-diffusion equations defined on a domain with moving boundaries, which model the evolution of…
Pure Differential Modules and a Result of Macaulay on Unmixed Polynomial Ideals
Jean-François Pommaret
The first purpose of this paper is to point out a curious result announced by Macaulay on the Hilbert function of a differential module in his famous book The Algebraic Theory of M…
Optimal convergence rate of the multitype sticky particle approximation of one-dimensional diagonal hyperbolic systems with monotonic initial data
Benjamin Jourdain, Julien Reygner
Brenier and Grenier [SIAM J. Numer. Anal., 1998] proved that sticky particle dynamics with a large number of particles allow to approximate the entropy solution to scalar one-dimen…
A multitype sticky particle construction of Wasserstein stable semigroups solving one-dimensional diagonal hyperbolic systems with large monotonic data
Benjamin Jourdain, Julien Reygner
This article is dedicated to the study of diagonal hyperbolic systems in one space dimension, with cumulative distribution functions, or more generally nonconstant monotonic bounde…