Thomas Duyckaerts

Mathematical Physics · 2007–2021

A researcher in the Science corpus: 8 papers; trusts 25 researchers and is trusted by 25 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 45 citations into it; #928 of 8,562 by trust here, #1,097 by citations
• Applied Mathematics — 23 citations into it; #3,178 of 7,620 by trust here, #2,807 by citations
• Statistical and Nonlinear Physics — 18 citations into it; #5,635 of 10,127 by trust here, #6,727 by citations
• Control and Systems Engineering — 15 citations into it; #945 of 8,257 by trust here, #1,718 by citations
• Computational Theory and Mathematics — 9 citations into it; #6,860 of 12,182 by trust here, #8,756 by citations
• Numerical Analysis — 5 citations into it

Whom Thomas Duyckaerts trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. F. Merle
2. Yvan Martel
3. Carlos E. Kenig
4. Sahbi Keraani
5. Pierre Raphael
6. Oleg Yu. Imanuvilov
7. Enrique Fernández-Cara
8. Hiroshi Matano
9. Wilhelm Schlag
10. Michael Struwe

Who trusts Thomas Duyckaerts overall

1. Raphael Cote
2. B. Dodson
3. Carlos E. Kenig
4. Pierre Raphael
5. F. Merle
6. Xu Zhang
7. Yvan Martel
8. Rowan Killip
9. A. Lawrie
10. Karine Beauchard

Papers from Thomas Duyckaerts's perspective

Ordered by how strongly the researchers Thomas Duyckaerts trusts endorse each paper. Same corpus, a different order for every researcher.

1. A Liouville theorem for the critical generalized Korteweg–de Vries equation
2. Stability of blow-up profile and lower bounds for blow-up rate for the critical generalized KdV equation
3. Renormalization and blow up for charge one equivariant critical wave maps
4. Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case
5. Asymptotic Stability of Solitons¶for Subcritical Generalized KdV Equations
6. Regularity of Wave-Maps in Dimension 2 + 1
7. Semilinear Schrodinger Equations
8. Radially symmetric wave maps from (1 + 2)-dimensional Minkowski space to the sphere
9. Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
10. Classification of type I and type II behaviors for a supercritical nonlinear heat equation

Their papers

• Non-uniform stability for bounded semi-groups on Banach spaces (2008) — 351 citations
• Soliton Resolution for Critical Co-rotational Wave Maps and Radial Cubic Wave Equation (2021) — 53 citations
• Classification of radial solutions of the focusing, energy-critical wave equation (2012) — 226 citations
• Scattering for radial, bounded solutions of focusing supercritical wave equations (2012) — 114 citations
• Universality of blow-up profile for small radial type II blow-up solutions of energy-critical wave equation (2009) — 184 citations
• On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials (2008) — 199 citations
• Scattering for the non-radial 3D cubic nonlinear Schroedinger equation (2007) — 274 citations
• Dynamic of Threshold Solutions for Energy-Critical NlS (2007) — 161 citations