Properties of global decaying solution to the Cauchy problem of nonlinear evolution equations
β Scribed by Walter Allegretto; Yanping Lin; Zhiyong Zhang
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 265 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0044-2275
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π SIMILAR VOLUMES
The existence and uniqueness are proved for global classical solutions of the spatially periodic Cauchy problem to the following system of parabolic equations s y y β£ y q β£ Ε½ . which was proposed as a substitute for the RayleighαBenard equation and can lead to Lorenz equations.
## Communicated by X. Wang In this work, we prove the existence of global attractor for the nonlinear evolution equation . This improves a previous result of Xie and Zhong in (J. Math. Anal. Appl. 2007; 336:54-69.) concerning the existence of global attractor in H 1 0 (X)ΓH 1 0 (X) for a similar
The paper studies the existence and nonexistence of global solutions to the Cauchy problem for a nonlinear beam equation arising in the model in variational form for the neo-Hookean elastomer rod where k 1 ,k 2 > 0 are real numbers, g(s) is a given nonlinear function. When g(s) = s n (where n 2 is