Uniqueness criteria for the conduction-diffusion solution of the Boussinesq equations
โ Scribed by Daniel D. Joseph
- Publisher
- Springer
- Year
- 1969
- Tongue
- English
- Weight
- 403 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0003-9527
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๐ SIMILAR VOLUMES
## Communicated by G. F. Roach We consider the Cauchy problem for the damped Boussinesq equation governing long wave propagation in a viscous fluid of small depth. For the cases of one, two, and three space dimensions local in time existence and uniqueness of a solution is proved. We show that for
The paper studies the blowup of solutions to the initial boundary value problem for the "bad" Boussinesq-type equation u ttu xxbu xxxx = ฯ (u) xx , where b > 0 is a real number and ฯ (s) is a given nonlinear function. By virtue of the energy method and the Fourier transform method, respectively, it