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.

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