Topic · Mathematical Physics
Advanced Mathematical Physics Problems
Advanced Mathematical Physics Problems is a research topic within Mathematical Physics. Science Explorer counts 22k research works in it since 1951. 10.0% of them reached the world's top 10% most cited for their field and year.
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.
- Global Well-Posedness
- Nonlinear Schrödinger Equation
- Scattering
- Blow-Up
- Dispersive Equations
- Strichartz Estimates
- Energy-Critical Equations
- Wave Maps Equation
- Korteweg-de Vries Equation
- Solitons
- Research works
- 22k fractional, since 1951
- In the world top 10%
- 2.2k per year above
- Top-10% rate
- 10.0% share of its works in the world top 10%
- Growth, 2018-21 → 2022-25
- +23% the tick is no change
- Largest producer
China
56% of the 10 largest, 2022-now
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