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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{…