Existence of solutions to Burgers equations in domains that can be transformed into rectangles
This work is concerned with Burgers equation $\partial _{t}u+u\partial_x u-\partial _x^2u=f$ (with Dirichlet boundary conditions) in the non rectangular domain $\Omega =\{(t,x)\in R^2;\ 0<t<T,\; \varphi_1(t)<x<\varphi _2(t)\}$ (where $\varphi _1(t)<\varphi _2(t)$ for all $t\in [...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/157/abstr.html |