| The Existence and Nonexistence of a Global Smooth Solution for the Initial Value Problem of Generalized Kuramoto-Sivashinsky Type Equations |
| Received:January 03, 1989 |
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| Abstract: |
| The existence and uniqueness, of a global smooth solution for the initial valne problem of generalized Kuramoto-Sivashinsky type equations in multi-dimensions have been obtained. The sufficient conditions of "blowing up" for the solution of some dissipative equations are given. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1991.01.013 |
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