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- Université Toulouse III - Paul SabatierFR936 papers
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15 papers · 2 filters
Exact splitting methods for semigroups generated by inhomogeneous quadratic differential operators
Joackim Bernier
We introduce some general tools to design exact splitting methods to compute numerically semigroups generated by inhomogeneous quadratic differential operators. More precisely, we…
Improved bounds for reaction-diffusion propagation with a line of nonlocal diffusion
Anne-Charline Chalmin, Jean-Michel Roquejoffre
We consider here a model of accelerating fronts, introduced in [2], consisting of one equation with nonlocal diffusion on a line, coupled via the boundary condition with a reaction…
Global Jacobian and -convergence in a two-dimensional Ginzburg-Landau model for boundary vortices
Radu Ignat, Matthias Kurzke
In the theory of Ginzburg-Landau vortices, the Jacobian plays a crucial role for the detection of topological singularities. We introduce a related distributional quantity, ca…
Quantitative estimates of the threshold phenomena for propagation in reaction-diffusion equations
Matthieu Alfaro, Arnaud Ducrot, Gregory Faye
We focus on the (sharp) threshold phenomena arising in some reaction-diffusion equations supplemented with some compactly supported initial data. In the so-called ignition and bist…
Rigidity of a non-elliptic differential inclusion related to the Aviles-Giga conjecture
Xavier Lamy, Andrew Lorent, Guanying Peng
In this paper we prove sharp regularity for a differential inclusion into a set that arises in connection with the Aviles-Giga functional. The set…
Discrete transparent boundary conditions for the two-dimensional leap-frog scheme
Christophe Besse, Jean-François Coulombel, Pascal Noble
We develop a general strategy in order to implement (approximate) discrete transparent boundary conditions for finite difference approximations of the two-dimensional transport equ…