On Front Motion in a Burgers-Type Equation with Quadratic and Modular Nonlinearity and Nonlinear AmplificationстатьяПеревод
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Дата последнего поиска статьи во внешних источниках: 10 августа 2018 г.
Аннотация:A singularly perturbed initial–boundary value problem for a parabolic equation known in applications
as a Burgers-type or reaction–diffusion–advection equation is considered. An asymptotic approximation
of solutions with a moving front is constructed in the case of modular and quadratic nonlinearity and
nonlinear amplification. The influence exerted by nonlinear amplification on front propagation and blowing-
up is determined. The front localization and the blowing-up time are estimated.