Seminar “Moving fronts in equations similar to the Burgers equation”
23 March at 19:30 MSK
Title of the talk: Moving fronts in equations similar to the Burgers equation.
We consider new classes of singularly perturbed initial- boundary value problems and periodic boundary value problems for reaction-advection-diffusion equations: Burgers type equations with quadratic and modular advection We construct the interior layer type formal asymptotics and prove the existence of a solution with an interior layer. The accuracy of its asymptotics and asymptotic stability of the periodic solutions are established. Conditions of blow-up of frons are presented too.
D. of Sc., Professor Nefedov N.N. (M. V. Lomonosov Moscow State University, Faculty of Physics, Department of Mathematics).