The Cauchy problem and integrability of a modified Euler-Poisson equation
| dc.creator | Tiglay, Feride | |
| dc.date | 2005-01-18 | |
| dc.date | 2006-09-10 | |
| dc.date.accessioned | 2026-07-07T06:39:18Z | |
| dc.date.available | 2026-07-07T06:39:18Z | |
| dc.description | We prove that the periodic initial value problem for a modified Euler-Poisson equation is well-posed for initial data in $H^{s} (T^{m})$ when $s>m/2+2$ and we improve the Sobolev index to $s>3/2$ for $m=1$. We also study the analytic regularity of this problem and prove a Cauchy-Kowalevski type theorem. After presenting a formal derivation of the equation on the semidirect product space $ Diff \ltimes C^{\infty}(\tor)$ as a Hamiltonian equation, we concentrate to one space dimension ($m=1$) and show that the equation is bihamiltonian. | |
| dc.description | submitted | |
| dc.identifier | https://arxiv.org/abs/math/0501279 | |
| dc.identifier | http://arxiv.org/abs/math/0501279 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101028 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q53; 35Q05; 35A10; 37K65 | |
| dc.title | The Cauchy problem and integrability of a modified Euler-Poisson equation | |
| dc.type | text |