3 papers
math.AP2019
(Bounded) Traveling Combustion Fronts With Degenerate Kinetics
Nathaël Alibaud, Gawtum Namah
We consider the propagation of a flame front in a solid periodic medium. The model is governed by a free boundary system in which the front's velocity depends on the temperature vi…
math.AP2019
Nonlocal Dissipation Measure and L 1 Kinetic Theory For Fractional Conservation Laws
Nathaël Alibaud, Boris Andreianov, Adama Ouedraogo
We introduce a kinetic formulation for scalar conservation laws with nonlocal and nonlinear diffusion terms. We deal with merely L 1 initial data, general self-adjoint pure jump L{…
math.AP2018
Characterization of nonlocal diffusion operators satisfying the Liouville theorem. Irrational numbers and subgroups of
Nathaël Alibaud, Félix del Teso, Jørgen Endal +1
We investigate the characterization of generators of Lévy processes satisfying the Liouville theorem: Bounded functions solving are constant. T…