On the blow-up of solutions of equations of hydrodynamic type under special boundary conditions |
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Authors: | E V Yushkov |
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Institution: | 1. Moscow State University, Moscow, Russia
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Abstract: | We use the nonlinear capacity method to prove the blow-up of solutions of initial-boundary value problems of hydrodynamic type in bounded domains. We present sufficient boundary conditions ensuring the blow-up of the solution of an equation that is globally solvable under the classical boundary conditions. We estimate the blow-up time of solutions under given initial conditions. Note that it is the first result concerning blow-up for one of the problems considered. |
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