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# [[Wave equations|Nonlinear wave equations]] ([[NLW equation|NLW]], [[NLKG equation|NLKG]], [[Wave maps equation|Wave maps]], [[Maxwell-Klein-Gordon equation|Maxwell-Klein-Gordon]], [[Yang-Mills equation|Yang-Mills]], [[Einstein equations|Einstein]], etc.) | # [[Wave equations|Nonlinear wave equations]] ([[NLW equation|NLW]], [[NLKG equation|NLKG]], [[Wave maps equation|Wave maps]], [[Maxwell-Klein-Gordon equation|Maxwell-Klein-Gordon]], [[Yang-Mills equation|Yang-Mills]], [[Einstein equations|Einstein]], etc.) | ||
# [[Schrodinger equations|Nonlinear Schrodinger equations]] ([[NLS equation|NLS]], [[Schrodinger maps|Schrodinger maps]], etc.) | # [[Schrodinger equations|Nonlinear Schrodinger equations]] ([[NLS equation|NLS]], [[Schrodinger maps|Schrodinger maps]], [[Cubic DNLS on R|DNLS]], [[Hartree equation|Hartree]], etc.) | ||
# [[KdV equations|Equations of Korteweg-de Vries type]] ([[Korteweg-de Vries equation|KdV]], [[Modified Korteweg-de Vries equation|mKdV]], [[Generalized Korteweg-de Vries equation|gKdV]], etc.) | # [[KdV equations|Equations of Korteweg-de Vries type]] ([[Korteweg-de Vries equation|KdV]], [[Modified Korteweg-de Vries equation|mKdV]], [[Generalized Korteweg-de Vries equation|gKdV]], etc.) | ||
# [[Other equations|Other equations and systems]] ([[Benjamin-Ono equation|Benjamin-Ono]], [[Kadomtsev-Petviashvili equation|Kadomtsev-Petviashvili]], [[Zakharov equation|Zakharov]], [[Davey-Stewartson system|Davey-Stewartson]], etc.) | # [[Other equations|Other equations and systems]] ([[Benjamin-Ono equation|Benjamin-Ono]], [[Kadomtsev-Petviashvili equation|Kadomtsev-Petviashvili]], [[Zakharov equation|Zakharov]], [[Davey-Stewartson system|Davey-Stewartson]], etc.) | ||
A complete list of equations discussed on this | A complete list of equations discussed on this wiki [[:Category:Equations|can be found here]]. | ||
Revision as of 03:51, 29 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 a large number of 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, DNLS, Hartree, etc.)
- Equations of Korteweg-de Vries type (KdV, mKdV, gKdV, etc.)
- Other equations and systems (Benjamin-Ono, Kadomtsev-Petviashvili, Zakharov, Davey-Stewartson, etc.)
A complete list of equations discussed on this wiki can be found here.
