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Blowup of the solution to a nonlinear system of Sobolev-type equations |
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| Authors: | P. A. Chubenko |
| Affiliation: | (1) Faculty of Physics, Moscow State University, Moscow, 119992, Russia |
| Abstract: | An initial-boundary value problem is considered for a fifth-order nonlinear equation describing the dynamics of a Kelvin-Voigt fluid with allowance for strong spatial dispersion in the presence of sources with a cubic nonlinearity. A local existence theorem is proved. The method of energy inequalities is used to find sufficient conditions for the solution to blowup in a finite time. |
| Keywords: | Kelvin-Voigt fluid Sobolev-type equation strong generalized solution contraction mapping principle method of differential inequalities solution blowup |
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