𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the continuous Benney equations

✍ Scribed by V.V. Geogjaev


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
393 KB
Volume
87
Category
Article
ISSN
0167-2789

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the Benney equations
✍ V.E. Zakharov πŸ“‚ Article πŸ“… 1981 πŸ› Elsevier Science 🌐 English βš– 363 KB
On the Benney–Lin and Kawahara Equations
✍ H.A Biagioni; F Linares πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 281 KB

We establish global well-posedness for the initial value problem IVP associated to the so-called Benney᎐Lin equation. This model is a Korteweg᎐de Vries equation perturbed by dissipative and dispersive terms which appears in fluid dynamics. We also study the limiting behaviour of solutions to this IV

Reductions of the Benney equations
✍ John Gibbons; Serguei P. Tsarev πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 510 KB
Conformal maps and reductions of the Ben
✍ John Gibbons; Serguei P. Tsarev πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 78 KB

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