Blowup in a finite time of the solution to the initial-boundary value problem for a semilinear composite type equation (Q1608277)
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scientific article; zbMATH DE number 1779335
| Language | Label | Description | Also known as |
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| English | Blowup in a finite time of the solution to the initial-boundary value problem for a semilinear composite type equation |
scientific article; zbMATH DE number 1779335 |
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Blowup in a finite time of the solution to the initial-boundary value problem for a semilinear composite type equation (English)
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15 December 2002
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This paper is devoted to initial-boundary value problems for a third-order semilinear composite type equation in a bounded domain. Such mathematical problem arise in the study of unsteady deformation processes related to creep in solid mechanics. Global nonexistence of a bounded solution is proved for a wide class of initial functions. The blowup time is estimated for a certain class of initial functions.
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third-order equation
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creep in solid mechanics
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global nonexistence
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