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. 20.7% 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%
- 4.6k per year above
- Top-10% rate
- 20.7% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- +23% the tick is no change
Which countries lead Advanced Mathematical Physics Problems research?
By volume, China and the United States publish the most (1.8k and 340 works in 2022–2025).
By volume, 2022–2025
- 1 China 1.8k works
- 2 United States 340 works
- 3 France 240 works
- 4 Japan 182 works
- 5 Italy 161 works
- 6 Russia 140 works
- 7 Brazil 132 works
- 8 Saudi Arabia 105 works
- 9 Germany 101 works
- 10 India 99 works
How concentrated that is
The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.
Shares of the rows listed above, not of the whole node.
Which institutions lead Advanced Mathematical Physics Problems research?
By volume in 2022–2025, Southwest University publishes the most Advanced Mathematical Physics Problems research, followed by Centre National de la Recherche Scientifique and Zhejiang Normal University.
By volume, 2022–2025
- 1 Southwest University China 42 works
- 2 Centre National de la Recherche Scientifique France 39 works
- 3 Zhejiang Normal University China 38 works
- 4 Central South University China 37 works
- 5 Beijing Normal University China 30 works
- 6 Fudan University China 27 works
- 7 China University of Mining and Technology China 24 works
- 8 Central China Normal University China 23 works
- 9 Tsinghua University China 21 works
- 10 Qassim University Saudi Arabia 20 works
Who are the leading researchers in Advanced Mathematical Physics Problems?
The most-cited researchers publishing on Advanced Mathematical Physics Problems include Tasawar Hayat, Terence Tao and Miroslav Krstić.
- 1 Tasawar Hayat 4.6k citations
- 2 Terence Tao 3.1k citations
- 3 Miroslav Krstić 3.1k citations
- 4 Élliott H. Lieb 2.5k citations
- 5 George H. Weiss 2.4k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Advanced Mathematical Physics Problems research done?
The largest centres of Advanced Mathematical Physics Problems research in 2022–2025 are Beijing (China), Shanghai (China), Guangzhou (China) and Nanjing (China). Among places with at least 20 works in it, it is an unusually large share of all research in Jinhua and Buraidah.
Largest cities, 2022–2025
Where it is the local speciality
- JinhuaCN · 38.5 works24×
- BuraidahSA · 21.3 works17×
Location quotient: how much more of its research is in Advanced Mathematical Physics Problems than the world average.
Where is the best place to study Advanced Mathematical Physics Problems?
Among universities, judged by research, Beijing Normal University, Taibah University and Qassim University score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.
One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | Beijing Normal University China | 76.3 | 36.6% | 10.1× | 30 | +10.6% |
| 2 | Taibah University Saudi Arabia | 74.4 | 28.5% | 15.1× | 10 | +222.9% |
| 3 | Qassim University Saudi Arabia | 70.8 | 14.0% | 18.3× | 20 | +584.4% |
| 4 | Southwest University China | 69.3 | 18.3% | 18.0× | 42 | +91.5% |
| 5 | Université Sultan Moulay Slimane Morocco | 66.4 | 38.3% | 17.7× | 10 | — |
| 6 | Zhejiang Normal University China | 63.2 | 17.2% | 31.0× | 38 | -1.9% |
| 7 | Guangzhou University China | 61.3 | 19.3% | 11.6× | 18 | +86.2% |
| 8 | Central South University China | 61.2 | 18.4% | 5.2× | 37 | +336.5% |
| 9 | Changchun Normal University China | 60.1 | 36.4% | 60.2× | 8 | — |
| 10 | Qufu Normal University China | 58.6 | 17.7% | 15.2× | 12 | +283.3% |
Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.
Is Advanced Mathematical Physics Problems research growing?
Output in 2018–2022 was 23% higher than in 2013–2017, peaking in 2024. The fastest-growing topics are Advanced Mathematical Physics Problems.
The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.
Which topics inside it are moving
Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.