Luc Molinet

Mathematical Physics · 2000–2018

A researcher in the Science corpus: 21 papers; trusts 44 researchers and is trusted by 55 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 107 citations into it; #290 of 8,562 by trust here, #214 by citations
• Statistical and Nonlinear Physics — 74 citations into it; #425 of 10,127 by trust here, #853 by citations
• Applied Mathematics — 68 citations into it; #438 of 7,620 by trust here, #341 by citations
• Geometry and Topology — 16 citations into it; #1,843 of 7,422 by trust here, #2,963 by citations
• Control and Systems Engineering — 14 citations into it; #1,792 of 8,257 by trust here, #4,722 by citations
• Modeling and Simulation — 6 citations into it
• Computational Theory and Mathematics — 5 citations into it

Whom Luc Molinet trusts overall

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

1. Terence Tao
2. James E. Colliander
3. Adrian Constantin
4. D. Tataru
5. Herbert Koch
6. Carlos E. Kenig
7. Hideo Takaoka
8. A. Ionescu
9. F. Planchon
10. Raphaël Danchin

Who trusts Luc Molinet overall

1. Didier Pilod
2. Carlos E. Kenig
3. Zihua Guo
4. Baoxiang Wang
5. Yvan Martel
6. Jerry L. Bona
7. Yong Zhou
8. Ademir Fernando Pazoto
9. Lorenzo Brandolese
10. A. Alexandrou Himonas

Papers from Luc Molinet's perspective

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

1. Maximal Functions Associated to Filtrations
2. Well-posedness for the Kadomtsev-Petviashvili II equation (Advances in Differential Equations)
3. Multilinear estimates for periodic KdV equations, and applications
4. Semilinear Schrodinger Equations
5. Multilinear weighted convolution of L2 functions, and applications to nonlinear dispersive equations
6. On the ill-posedness of some canonical dispersive equations
7. Global well-posedness in L2 for the periodic Benjamin-Ono equation
8. Nonlinear wave interactions for the Benjamin-Ono equation.
9. Singular Integrals and Differentiability Properties of Functions.
10. On global existence and scattering for the wave maps equation

Their papers

• Ill-posedness of the Camassa–Holm and related equations in the critical space (2018) — 133 citations
• Improvement of the energy method for strongly non resonant dispersive equations and applications (2014) — 60 citations
• Bilinear Strichartz estimates for the Zakharov–Kuznetsov equation and applications (2013) — 109 citations
• Necessary and Sucient Conditions for the Fractional Gagliardo-Nirenberg Inequalities and Applications to Navier-Stokes and Generalized Boson Equations (2011) — 133 citations
• Sharp ill-posedness results for the KdV and mKdV equations on the torus (2011) — 73 citations
• Necessary and Sufficient Conditions for the Fractional Gagliardo-Nirenberg Inequalities and Applications to Navier-Stokes and Generalized Boson Equations (Harmonic Analysis and Nonlinear Partial Differential Equations) (2011) — 76 citations
• The Cauchy problem for the Benjamin-Ono equation in $L^2$ revisited (2010) — 124 citations
• A note on ill posedness for the KdV equation (2010) — 54 citations
• Stability of multipeakons (2008) — 97 citations
• Global well-posedness in L2 for the periodic Benjamin-Ono equation (2006) — 84 citations
• Well-posedness results for the generalized Benjamin–Ono equation with small initial data (2004) — 99 citations
• Well-posedness results for the generalized Benjamin-Ono equation with arbitrary large initial data (2004) — 61 citations
• On Well-Posedness Results for Camassa-Holm Equation on the Line: A Survey (2004) — 116 citations
• On the Cauchy Problem for the Generalized Korteweg-de Vries Equation (2003) — 681 citations
• Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation (2002) — 120 citations
• On the low regularity of the Korteweg-de Vries-Burgers equation (2002) — 118 citations
• The initial value problem for a generalized Boussinesq equation (2002) — 73 citations
• Global well-posedness for the KP-I equation (2002) — 80 citations
• Orbital stability of solitary waves for a shallow water equation (2001) — 195 citations
• The cauchy problem for dissipative Korteweg de Vries equations in Sobolev spaces of negative order (2001) — 58 citations