In this paper, we discuss the long-time behavior of positive solutions of Burgers' equation \(u\_{t}=u\_{x x}+\varepsilon u u\_{x}, 00, t>0\) with the nonlocal boundary condition: \(u(0, t)=0, \quad u\_{x}(1, t)+\frac{1}{2} \varepsilon u^{2}(1, t)=a u^{p}(1, t)\left(\int\_{0}^{1} u(x, t) d x\right)^
The phenomenon of quenching in burgers' equation with nonlinear boundary conditions
β Scribed by Sang Ro Park
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 584 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0362-546X
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