Solution of a transport equation with discontinuous coefficients
| Autor: | K. T. Joseph, Abhishek Das |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Computational Theory and Mathematics
Applied Mathematics 010102 general mathematics Mathematical analysis 0202 electrical engineering electronic engineering information engineering 020206 networking & telecommunications 02 engineering and technology 0101 mathematics Statistics Probability and Uncertainty Convection–diffusion equation 01 natural sciences Mathematical Physics Mathematics |
| Zdroj: | Journal of Applied Analysis. 27:219-238 |
| ISSN: | 1869-6082 1425-6908 |
| DOI: | 10.1515/jaa-2021-2047 |
| Popis: | In this article, we study initial and initial-boundary value problems for a non-strictly hyperbolic system whose characteristic speed is not smooth and takes values in { - 1 , 0 , 1 } {\{-1,0,1\}} . We construct an explicit formula for the weak solution. We also study the interaction of waves and the large time asymptotic behavior of a solution for the case when the initial data is periodic with zero mean over the period and also for the case when the initial data has compact support. |
| Databáze: | OpenAIRE |
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