We prove the large time asymptotic stability of traveling wave solutions to the scalar solute transport equation (contaminant transport equation) with spatially periodic diffusion-adsorption coefficients in one space dimension. The time dependent solutions converge in proper norms to a translate of
Stability of travelling pulse solutions to a laser equation
โ Scribed by Jonathan Swinton; John Elgin
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 438 KB
- Volume
- 145
- Category
- Article
- ISSN
- 0375-9601
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## Abstract We study a semilinear hyperbolic system with relaxation and investigate the asymptotic stability of travelling wave solutions with shock profile. It is shown that the travelling wave solution is asymptotically stable, provided the initial disturbance is suitably small. Moreover, we show