Global Attractors for a Nonclassical Diffusion Equation
โ Scribed by Chun You Sun; Su Yun Wang; Cheng Kui Zhong
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2007
- Tongue
- English
- Weight
- 186 KB
- Volume
- 23
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
differential equation with sectorial operator is shown to generate a dissipative semigroup whenever an appropriate introductory estimate for solutions is known. Based on Hale's theory of dissipative systems such an a priori estimate is then shown to be sufficient for existence of a global attractor.
A semilinear partial differential equation of hyperbolic type with a convolution term describing simple viscoelastic materials with fading memory is considered. ลฝ . Regarding the past history memory of the displacement as a new variable, the equation is transformed into a dynamical system in a suit