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On the asymptotics of the solution to a singularly perturbed hyperbolic system of equations with several spatial variables in the critical case |
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| Authors: | T V Pavlyuk A V Nesterov |
| Institution: | 1. Obninsk State Technical University for Nuclear Power Engineering, National Research Nuclear University “MEPhI,” Studgorodok 1, Obninsk, Kaluga oblast, 249040, Russia 2. Moscow City Pedagogical University, Vtoroi Sel’skokhozyaistvennyi pr. 4, Moscow, 129226, Russia |
| Abstract: | A complete asymptotic expansion of the solution to an initial value problem for a singularly perturbed hyperbolic system of equations in several spatial variables is constructed and justified. A specific feature of the problem is that its solution has a spike zone in a neighborhood of which the asymptotics is described by a parabolic equation. |
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