D. C'ordoba

Applied Mathematics · 2001–2016

A researcher in the Science corpus: 13 papers; trusts 16 researchers and is trusted by 26 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 53 citations into it; #554 of 7,620 by trust here, #419 by citations
• Mathematical Physics — 35 citations into it; #1,538 of 8,562 by trust here, #810 by citations
• Computational Theory and Mathematics — 16 citations into it; #3,343 of 12,182 by trust here, #5,465 by citations
• Computational Mechanics — 12 citations into it; #2,703 of 10,001 by trust here, #3,559 by citations
• Control and Systems Engineering — 11 citations into it; #8,234 of 8,257 by trust here, #5,490 by citations
• Oceanography — 7 citations into it

Whom D. C'ordoba trusts overall

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

1. Stefan Müller
2. Camillo De Lellis
3. B. Kirchheim
4. L. Sz'ekelyhidi
5. Vladimír Sverák
6. Andrew J. Majda
7. Francisco Gancedo
8. Russel E. Caflisch
9. Taoufik Hmidi
10. Sam D. Howison

Who trusts D. C'ordoba overall

1. Peter Constantin
2. Thomas Alazard
3. Dong Li
4. Fan Deng
5. Quoc-Hung Nguyen
6. Luis Silvestre
7. José L. Rodrigo
8. Vlad Vicol
9. Francisco Gancedo
10. A. Castro

Papers from D. C'ordoba's perspective

Ordered by how strongly the researchers D. C'ordoba trusts endorse each paper. Same corpus, a different order for every researcher.

1. Harmonic analysis (2004 IEEE Electro/Information Technology Conference)
2. Convex integration for Lipschitz mappings and counterexamples to regularity
3. Studying Nonlinear pde by Geometry in Matrix Space
4. Recent Developments in the Navier-Stokes Problem
5. Geometry and a priori estimates for free boundary problems of the Euler's equation
6. Global existence, singular solutions, and ill‐posedness for the Muskat problem
7. Contour Dynamics of Incompressible 3-D Fluids in a Porous Medium with Different Densities
8. Optimal Existence Theorems for Nonhomogeneous Differential Inclusions
9. The zero surface tension limit two‐dimensional water waves
10. Large time existence for 3D water-waves and asymptotics

Their papers

• Contour Dynamics of Incompressible 3-D Fluids in a Porous Medium with Different Densities (2007) — 169 citations
• Mixing solutions for the Muskat problem (2016) — 56 citations
• Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations (2014) — 101 citations
• Finite time singularities for the free boundary incompressible Euler equations (2011) — 139 citations
• Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves (2011) — 175 citations
• Generalized surface quasi‐geostrophic equations with singular velocities (2011) — 216 citations
• On the global existence for the Muskat problem (2010) — 150 citations
• Lack of Uniqueness for Weak Solutions of the Incompressible Porous Media Equation (2009) — 69 citations
• Global existence, singularities and ill-posedness for a nonlocal flux (2008) — 61 citations
• Interface evolution: the Hele-Shaw and Muskat problems (2008) — 168 citations
• Integral inequalities for the Hilbert transform applied to a nonlocal transport equation (2006) — 49 citations
• Formation of singularities for a transport equation with nonlocal velocity (2005) — 191 citations
• On the critical dissipative quasi-geostrophic equation (2001) — 266 citations