# Advanced Mathematical Physics Problems

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/advanced-mathematical-physics-problems-2/

## Facts

| Field | Value |
| --- | --- |
| Citations | 526,619 |
| Description | This cluster of papers focuses on the global well-posedness, scattering, and blow-up phenomena for various nonlinear wave equations, including the nonlinear Schrödinger equation, wave maps equation, Korteweg-de Vries equation, and dispersive equations. The research also explores the behavior of solitons and critical exponent for energy-critical equations. |
| Domain | Physical Sciences |
| Field | Mathematics |
| OpenAlex ID | https://openalex.org/T11654 |
| Works | 43,066 |

## Topic researchers

Showing 12 of 20.

- [Edward Witten](https://scholariq.org/researchers/edward-witten/)
- [Thomas J.R. Hughes](https://scholariq.org/researchers/thomas-j-r-hughes/)
- [Ping Zhang](https://scholariq.org/researchers/ping-zhang/)
- [Terence Tao](https://scholariq.org/researchers/terence-tao/)
- [Miroslav Krstić](https://scholariq.org/researchers/miroslav-krstic/)
- [Jerrold E. Marsden](https://scholariq.org/researchers/jerrold-e-marsden/)
- [Élliott H. Lieb](https://scholariq.org/researchers/elliott-h-lieb/)
- [Ji‐Huan He](https://scholariq.org/researchers/ji-huan-he/)
- [Nathan Seiberg](https://scholariq.org/researchers/nathan-seiberg/)
- [Tosio Kato](https://scholariq.org/researchers/tosio-kato/)
- [R. Jackiw](https://scholariq.org/researchers/r-jackiw/)
- [G. W. Gibbons](https://scholariq.org/researchers/g-w-gibbons/)

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Source: ScholarIQ — public research metadata, principally OpenAlex. See https://scholariq.org/sources/ for provenance and https://scholariq.org/methodology/ for what these figures mean.