Jean Dolbeault

Applied Mathematics · 2000–2022

A researcher in the Science corpus: 27 papers; trusts 40 researchers and is trusted by 61 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 123 citations into it; #453 of 7,620 by trust here, #234 by citations
• Computational Theory and Mathematics — 57 citations into it; #2,666 of 12,182 by trust here, #1,083 by citations
• Mathematical Physics — 40 citations into it; #1,055 of 8,562 by trust here, #997 by citations
• Modeling and Simulation — 16 citations into it; #129 of 2,105 by trust here, #311 by citations
• Statistics and Probability — 16 citations into it
• Statistical and Nonlinear Physics — 12 citations into it; #6,444 of 10,127 by trust here, #6,421 by citations
• Computational Mechanics — 10 citations into it
• Geometry and Topology — 10 citations into it

Whom Jean Dolbeault trusts overall

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

1. Cédric Villani
2. José Antonio Carrillo
3. Felix Otto
4. D. Bakry
5. Clément Mouhot
6. F. Brock
7. Juan Luis V'azquez
8. Manuel del Pino
9. Michel Ledoux
10. Giuseppe Toscani

Who trusts Jean Dolbeault overall

1. Jacob Bedrossian
2. Adrien Blanchet
3. José Antonio Carrillo
4. St'ephane Mischler
5. Van Hoang Nguyen
6. Nader Masmoudi
7. Manuel del Pino
8. Benoit Perthame
9. Matthias Erbar
10. Vincent Calvez

Papers from Jean Dolbeault's perspective

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

1. Topics in Optimal Transportation
2. THE VARIATIONAL FORMULATION OF THE FOKKER-PLANCK EQUATION
3. Asymptotic L1-decay of solutions of the porous medium equation to self-similarity
4. Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
5. The Landau Equation in a Periodic Box
6. A Convexity Principle for Interacting Gases
7. ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS
8. Some Inequalities Satisfied by the Quantities of Information of Fisher and Shannon
9. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
10. Gradient Flows: In Metric Spaces and in the Space of Probability Measures

Their papers

• Optimal critical mass in the two dimensional Keller–Segel model in R2 (2004) — 304 citations
• Asymptotics of the Fast Diffusion Equation via Entropy Estimates (2007) — 169 citations
• Classification of the Solutions of Semilinear Elliptic Problems in a Ball (2000) — 47 citations
• Hardy-Poincaré inequalities and applications to nonlinear diffusions (2007) — 79 citations
• THE BREZIS-NIRENBERG PROBLEM NEAR CRITICALITY IN DIMENSION 3 ? (2004) — 73 citations
• Asymptotic Estimates for the Parabolic-Elliptic Keller-Segel Model in the Plane (2012) — 74 citations
• Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces (2015) — 113 citations
• The two-dimensional Keller-Segel model after blow-up (2009) — 77 citations
• Nonlinear diffusions and optimal constants in Sobolev type inequalities: asymptotic behaviour of equations involving the p-Laplacian (2002) — 47 citations
• Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence (2022) — 75 citations
• Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method (2020) — 52 citations
• Stability Results for Logarithmic Sobolev and Gagliardo–Nirenberg Inequalities (2014) — 63 citations
• Nonlinear flows and rigidity results on compact manifolds (2013) — 54 citations
• Exponential Rate of Convergence to Equilibrium for a Model Describing Fiber Lay-Down Processes (2012) — 52 citations
• HYPOCOERCIVITY FOR LINEAR KINETIC EQUATIONS CONSERVING MASS (2010) — 354 citations
• The role of Onofri type inequalities in the symmetry properties of extremals for Caffarelli-Kohn-Nirenberg inequalities, in two space dimensions (2008) — 60 citations
• A new class of transport distances between measures (2008) — 213 citations
• Estimates for the optimal constants in multipolar Hardy inequalities for Schrödinger and Dirac operators (2008) — 59 citations
• Hypocoercivity for kinetic equations with linear relaxation terms (2008) — 156 citations
• Lieb-Thirring inequalities with improved constants (2007) — 76 citations