Shock waves as limits of progressive wave solutions of higher order equations, II
โ Scribed by Joel A. Smoller; Charles C. Conley
- Publisher
- John Wiley and Sons
- Year
- 1972
- Tongue
- English
- Weight
- 570 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0010-3640
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## Abstract We show that piecewise smooth solutions with shocks of the Euler equations in gas dynamics can be obtained as the zero Knudsen number limit of solutions of the Boltzmann equation for hard sphere collision model. The construction of the Boltzmann solutions is done in two steps. First we
Communicated by B
In this paper, we use the modified Kudryashov method or the rational Exp-function method to construct the solitary traveling wave solutions of the Kuramoto-Sivashinsky (shortly KS) and seventh-order Sawada-Kotera (shortly sSK) equations. These equations play a very important role in the mathematical