On the continuous Benney equations
β Scribed by V.V. Geogjaev
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 393 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0167-2789
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π SIMILAR VOLUMES
We establish global well-posedness for the initial value problem IVP associated to the so-called BenneyαLin equation. This model is a Kortewegαde Vries equation perturbed by dissipative and dispersive terms which appears in fluid dynamics. We also study the limiting behaviour of solutions to this IV
We consider Benney's equations, and their reductions to systems with finitely many Riemann invariants. The equations w x describing these reductions were given in 5 and a construction of a class of their solutions was briefly described there. Here we discuss the properties of these equations in more