Peter Constantin

Applied Mathematics · 2001–2019

A researcher in the Science corpus: 19 papers; trusts 61 researchers and is trusted by 49 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 135 citations into it; #261 of 7,620 by trust here, #234 by citations
• Mathematical Physics — 88 citations into it; #609 of 8,562 by trust here, #421 by citations
• Computational Theory and Mathematics — 39 citations into it; #7,243 of 12,182 by trust here, #5,046 by citations
• Control and Systems Engineering — 39 citations into it; #2,088 of 8,257 by trust here, #1,943 by citations
• Computational Mechanics — 38 citations into it; #944 of 10,001 by trust here, #1,838 by citations
• Finance — 19 citations into it; #7,758 of 10,518 by trust here, #8,309 by citations
• Statistical and Nonlinear Physics — 8 citations into it
• Numerical Analysis — 7 citations into it

Whom Peter Constantin trusts overall

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

1. Nader Masmoudi
2. Alexander V. Kiselev
3. D. C'ordoba
4. Luis Caffarelli
5. Andrew J. Majda
6. Jiahong Wu
7. Hans Lindblad
8. Dongho Chae
9. Lokenath Debnath
10. Fedor Nazarov

Who trusts Peter Constantin overall

1. Luis Silvestre
2. Vlad Vicol
3. Changxing Miao
4. Jiahong Wu
5. Michele Coti Zelati
6. Dong Li
7. Nathan E. Glatt-Holtz
8. Pablo Raúl Stinga
9. Huy Quang Nguyen
10. Thomas Alazard

Papers from Peter Constantin's perspective

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

1. Vorticity and incompressible flow
2. Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
3. Geophysical Fluid Dynamics
4. Existence and Uniqueness of the Solution to the Dissipative 2D Quasi-Geostrophic Equations in the Sobolev Space
5. Recent Developments in the Navier-Stokes Problem
6. Global Well-Posedness in the Super-Critical Dissipative Quasi-Geostrophic Equations
7. Limiting Case of the Sobolev Inequality in BMO,¶with Application to the Euler Equations
8. Euler Equations, Navier-Stokes Equations and Turbulence
9. Contour Dynamics of Incompressible 3-D Fluids in a Porous Medium with Different Densities
10. Interface evolution: the Hele-Shaw and Muskat problems

Their papers

• Diffusion and mixing in fluid flow (2005) — 298 citations
• Global regularity for 2D Muskat equations with finite slope (2015) — 86 citations
• Remarks on a paper by Gavrilov: Grad–Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications (2019) — 53 citations
• Critical SQG in Bounded Domains (2016) — 61 citations
• Global Weak Solutions for SQG in Bounded Domains (2016) — 52 citations
• On the inviscid limit of the Navier-Stokes equations (2014) — 85 citations
• Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D Euler Equations (2013) — 74 citations
• Long Time Dynamics of Forced Critical SQG (2013) — 149 citations
• Note on Global Regularity for Two-Dimensional Oldroyd-B Fluids with Diffusive Stress (2012) — 134 citations
• Nonlinear maximum principles for dissipative linear nonlocal operators and applications (2011) — 352 citations
• Generalized surface quasi‐geostrophic equations with singular velocities (2011) — 216 citations
• On the global existence for the Muskat problem (2010) — 150 citations
• Global regularity for a modified critical dissipative quasi-geostrophic equation (2008) — 127 citations
• On the Euler equations of incompressible fluids (2007) — 266 citations
• Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation (2007) — 174 citations
• Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations (2007) — 119 citations
• Euler Equations, Navier-Stokes Equations and Turbulence (2006) — 208 citations
• A stochastic Lagrangian representation of the three‐dimensional incompressible Navier‐Stokes equations (2005) — 195 citations
• On the critical dissipative quasi-geostrophic equation (2001) — 266 citations