Yvan Martel

Mathematical Physics · 2000–2021

A researcher in the Science corpus: 18 papers; trusts 21 researchers and is trusted by 43 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 72 citations into it; #229 of 8,562 by trust here, #145 by citations
• Statistical and Nonlinear Physics — 37 citations into it; #332 of 10,127 by trust here, #408 by citations
• Applied Mathematics — 28 citations into it; #843 of 7,620 by trust here, #713 by citations
• Control and Systems Engineering — 15 citations into it
• Nuclear and High Energy Physics — 7 citations into it

Whom Yvan Martel trusts overall

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

1. F. Merle
2. Pierre Raphael
3. Carlos E. Kenig
4. Igor Rodnianski
5. Luc Molinet
6. Raphael Cote
7. Wilhelm Schlag
8. J. Krieger
9. Thomas Duyckaerts
10. Francis Ribaud

Who trusts Yvan Martel overall

1. F. Merle
2. Pierre Raphael
3. Carlos E. Kenig
4. Raphael Cote
5. Vianney Combet
6. Thomas Duyckaerts
7. Hatem Zaag
8. Jérémie Szeftel
9. Terence Tao
10. Jaime Angulo Pava

Papers from Yvan Martel's perspective

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

1. Renormalization and blow up for charge one equivariant critical wave maps
2. Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case
3. Stability of blow-up profile and lower bounds for blow-up rate for the critical generalized KdV equation
4. A Liouville theorem for the critical generalized Korteweg–de Vries equation
5. Asymptotic Stability of Solitons¶for Subcritical Generalized KdV Equations
6. Multi solitary waves for nonlinear Schrödinger equations
7. Asymptotic N-soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations
8. Two singular dynamics of the nonlinear Schrödinger equation on a plane domain
9. Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
10. Existence of blow-up solutions in the energy space for the critical generalized KdV equation

Their papers

• Soliton Resolution for Critical Co-rotational Wave Maps and Radial Cubic Wave Equation (2021) — 53 citations
• Kink dynamics in the $\phi^4$ model: asymptotic stability for odd perturbations in the energy space (2015) — 133 citations
• Blow up for the critical generalized Korteweg–de Vries equation. I: Dynamics near the soliton (2014) — 117 citations
• Blow up for the critical gKdV equation III: exotic regimes (2012) — 58 citations
• Blow up for the critical gKdV equation II: minimal mass dynamics (2012) — 65 citations
• Local well-posedness and blow up in the energy space for a class of L2 critical dispersion generalized Benjamin-Ono equations (2010) — 82 citations
• Construction of multi-soliton solutions for the $L^2$-supercritical gKdV and NLS equations (2009) — 144 citations
• Asymptotic stability of solitons for the Benjamin-Ono equation (2008) — 68 citations
• Asymptotic stability of solitons of the gKdV equations with general nonlinearity (2007) — 108 citations
• Multi solitary waves for nonlinear Schrödinger equations (2006) — 144 citations
• Asymptotic stability of solitons of the subcritical gKdV equations revisited (2005) — 186 citations
• Asymptotic N-soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations (2005) — 213 citations
• Stability of blow-up profile and lower bounds for blow-up rate for the critical generalized KdV equation (2004) — 162 citations
• Blow up in finite time and dynamics of blow up solutions for the L^2-critical generalized KdV equation (2002) — 160 citations
• Asymptotic Stability of Solitons¶for Subcritical Generalized KdV Equations (2001) — 219 citations
• Instability of solitons for the critical generalized Korteweg—de Vries equation (2001) — 163 citations
• Stability and Asymptotic Stability in the Energy Space of the Sum of N Solitons for Subcritical gKdV Equations (2001) — 219 citations
• A Liouville theorem for the critical generalized Korteweg–de Vries equation (2000) — 170 citations