Global solutions of the Neumann problem in one-dimensional nonlinear thermoelasticity
β Scribed by Song Jiang
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 907 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Considering the Cauchy problem for a nonlinear system arising in thermoelasticity, it is proved that its solution develops singularities in finite time depending on the size and regularity of the initial data. The present work is distinguished from a previous work by relaxing the requirements on the
## Abstract We prove the existence of global solutions for small data to the initial value problem for the nonβlinear hyperbolic system of partial differential equations describing a thermoelastic medium in a threeβdimensional space under the assumption that the coefficients in the nonβlinear terms