On the Motion, Amplification, and Blow-up of Fronts in Burgers-Type Equations with Quadratic and Modular Nonlinearityстатья
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Дата последнего поиска статьи во внешних источниках: 11 ноября 2020 г.
Аннотация:—A singularly perturbed initial-boundary value problem for a parabolic equation, which is called inapplications an equation of Burgers type, is considered. Existence conditions are obtained, and an asymptotic approximation of a new class of solutions with a moving front is constructed. The results are applied to prob- lems with quadratic and modular nonlinearity and nonlinear amplification. The inf luence of nonlinear amplification on the propagation and destruction of fronts is revealed. Estimates for the blow-up localizationand blow-up time are obtained.