| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8053357 | Applied Mathematics Letters | 2018 | 7 Pages |
Abstract
We consider the von Karman equations with variable exponents: utt+Î2u+a|ut|m(â
)â2ut=[u,F(u)]+b|u|p(â
)â2uwhere a and b are positive constants and the exponents m(â
) and p(â
) are given measurable functions. There are many literatures on the blow-up result of solutions for the wave equation. However, to the best of our knowledge, there is no blow-up result of solutions for von Karman equations. We investigate a finite time blow-up result of solutions with nonpositive initial energy as well as positive initial energy.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Jum-Ran Kang,