Main Page: Difference between revisions
From DispersiveWiki
Jump to navigationJump to search
(→Dispersive PDE Wiki: Table of equations simplified) |
m (→Classes of equations: sublinks added) |
||
| Line 13: | Line 13: | ||
# [[Schrodinger equations|Nonlinear Schrodinger equations]] (NLS, Schrodinger maps, etc.) | # [[Schrodinger equations|Nonlinear Schrodinger equations]] (NLS, Schrodinger maps, etc.) | ||
# [[KdV equations|Equations of Korteweg-de Vries type]] (KdV, mKdV, gKdV, etc.) | # [[KdV equations|Equations of Korteweg-de Vries type]] (KdV, mKdV, gKdV, etc.) | ||
# [[Other equations]] (Kadomtsev- | # [[Other equations]] ([[Kadomtsev-Petviashvili equation|Kadomtsev-Petviashvili]], [[Zakharov equation|Zakharov]], Davey-Stewartson, etc.) | ||
Revision as of 05:08, 27 July 2006
Dispersive PDE Wiki
Welcome to the Dispersive PDE Wiki! These web pages are intended to present the latest results, conjectures, bibliography and other material on the local and global well-posedness problem (and related questions) for non-linear dispersive and wave equations. (Click here for a more detailed description of this wiki and its purpose.)
We welcome updates, corrections, and new contributions! Please click here for help on how to to do this.
Classes of equations
There are many nonlinear dispersive and wave equations of interest, many of which arise from mathematical physics. We can divide them into four classes:
- Nonlinear wave equations (NLW, NLKG, Wave maps, Maxwell-Klein-Gordon, Yang-Mills, Einstein, etc.)
- Nonlinear Schrodinger equations (NLS, Schrodinger maps, etc.)
- Equations of Korteweg-de Vries type (KdV, mKdV, gKdV, etc.)
- Other equations (Kadomtsev-Petviashvili, Zakharov, Davey-Stewartson, etc.)
