## Cordoba, Diego

Compute Distance To:
 Author ID: cordoba.diego Published as: Córdoba, Diego; Cordoba, Diego; Córdoba, D.; Córdoba Gazolaz, Diego more...less Homepage: https://www.icmat.es/dcordoba External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp
 Documents Indexed: 78 Publications since 1997, including 1 Book Co-Authors: 36 Co-Authors with 69 Joint Publications 1,227 Co-Co-Authors
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### Co-Authors

 7 single-authored 26 Gancedo, Francisco 23 Castro, Ángel 17 Fefferman, Charles Louis 14 Córdoba Barba, Antonio Juan 12 Gómez-Serrano, Javier 7 Fontelos López, Marco Antonio 4 Constantin, Peter 4 Orive Illera, Rafael 3 Rodrigo, José Luis 2 Berselli, Luigi Carlo 2 Chae, Dongho 2 Enciso, Alberto 2 Faraco, Daniel 2 Granero Belinchón, Rafael 2 Grubic, Nastasia 2 Lear, Daniel 2 López-Fernández, María 2 Marliani, Christiane 2 Pernas-Castaño, Tania 2 Strain, Robert M. 2 Wu, Jiahong 2 Zlatoš, Andrej 1 Chang, Sun-Yung Alice 1 de la Llave, Rafael 1 Fröhlich, Jürg Martin 1 Graham, C. Robin 1 Ionescu, Alexandru D. 1 Klartag, Bo’az 1 Kohn, Joseph J. 1 Lazar, Omar 1 Martínez-Zoroa, Luis 1 Nirenberg, Louis 1 Rodríguez-Piazza, Luis 1 Seco, Luis Angel 1 Stein, Elias Menachem 1 Tao, Terence 1 Zamora, Alberto Martín 1 Zheng, Fan
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### Serials

 10 Proceedings of the National Academy of Sciences of the United States of America 7 Advances in Mathematics 6 Archive for Rational Mechanics and Analysis 5 Communications in Mathematical Physics 5 Annals of Mathematics. Second Series 3 Communications on Pure and Applied Mathematics 3 La Gaceta de la Real Sociedad Matemática Española 3 Annals of PDE 2 Journal of Mathematical Physics 2 Nonlinearity 2 SIAM Journal on Mathematical Analysis 2 Analysis & PDE 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Memoirs of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Journal of the American Mathematical Society 1 Applications of Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Notices of the American Mathematical Society 1 Journal of Nonlinear Science 1 Discrete and Continuous Dynamical Systems 1 European Mathematical Society Newsletter 1 Interfaces and Free Boundaries 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications in Mathematical Sciences 1 Boletín de la Sociedad Española de Matemática Aplicada. S$$\vec{\text{e}}$$MA 1 Philosophical Transactions A. Royal Society of London 1 Transactions of the American Mathematical Society. Series B
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### Fields

 68 Partial differential equations (35-XX) 67 Fluid mechanics (76-XX) 12 Geophysics (86-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Numerical analysis (65-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of deformable solids (74-XX)

### Citations contained in zbMATH Open

69 Publications have been cited 1,978 times in 856 Documents Cited by Year
A maximum principle applied to quasi-geostrophic equations. Zbl 1309.76026
Córdoba, Antonio; Córdoba, Diego
2004
On the critical dissipative quasi-geostrophic equation. Zbl 0989.86004
Constantin, Peter; Cordoba, Diego; Wu, Jiahong
2001
Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation. Zbl 0920.35109
Cordoba, Diego
1998
Generalized surface quasi-geostrophic equations with singular velocities. Zbl 1244.35108
Chae, Dongho; Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Wu, Jiahong
2012
Formation of singularities for a transport equation with nonlocal velocity. Zbl 1101.35052
Córdoba, Antonio; Córdoba, Diego; Fontelos, Marco A.
2005
Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves. Zbl 1267.76033
Castro, Ángel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; López-Fernández, María
2012
Contour dynamics of incompressible 3-D fluids in a porous medium with different densities. Zbl 1120.76064
Córdoba, Diego; Gancedo, Francisco
2007
On the global existence for the Muskat problem. Zbl 1258.35002
Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Strain, Robert M.
2013
Interface evolution: the Hele-Shaw and Muskat problems. Zbl 1229.35204
Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco
2011
A pointwise estimate for fractionary derivatives with applications to partial differential equations. Zbl 1111.26010
Córdoba, Antonio; Córdoba, Diego
2003
Evidence of singularities for a family of contour dynamics equations. Zbl 1135.76315
Córdoba, Diego; Fontelos, Marco A.; Mancho, Ana M.; Rodrigo, Jose L.
2005
Finite time singularities for the free boundary incompressible Euler equations. Zbl 1291.35199
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier
2013
Lack of uniqueness for weak solutions of the incompressible porous media equation. Zbl 1241.35156
Cordoba, Diego; Faraco, Daniel; Gancedo, Francisco
2011
Finite time singularities in a 1D model of the quasi-geostrophic equation. Zbl 1128.76372
Chae, Dongho; Córdoba, Antonio; Córdoba, Diego; Fontelos, Marco A.
2005
Growth of solutions for QG and 2D Euler equations. Zbl 1013.76011
Cordoba, Diego; Fefferman, Charles
2002
Breakdown of smoothness for the Muskat problem. Zbl 1293.35234
Castro, Ángel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco
2013
On the Muskat problem: global in time results in 2D and 3D. Zbl 1369.35053
Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Rodríguez-Piazza, Luis; Strain, Robert M.
2016
On squirt singularities in hydrodynamics. Zbl 1078.76018
Córdoba, Diego; Fefferman, Charles; de la Llave, Rafael
2004
Global existence, singularities and ill-posedness for a nonlocal flux. Zbl 1186.35002
Castro, A.; Córdoba, D.
2008
Infinite energy solutions of the surface quasi-geostrophic equation. Zbl 1205.35219
Castro, A.; Córdoba, D.
2010
A maximum principle for the Muskat problem for fluids with different densities. Zbl 1173.35637
Córdoba, Diego; Gancedo, Francisco
2009
Incompressible flow in porous media with fractional diffusion. Zbl 1169.76058
Castro, Ángel; Córdoba, Diego; Gancedo, Francisco; Orive, Rafael
2009
Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations. Zbl 1339.35234
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier
2016
Uniformly rotating analytic global patch solutions for active scalars. Zbl 1397.35020
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier
2016
On the asymptotic stability of stratified solutions for the 2D Boussinesq equations with a velocity damping term. Zbl 1425.35149
Castro, Ángel; Córdoba, Diego; Lear, Daniel
2019
Absence of squirt singularities for the multi-phase Muskat problem. Zbl 1198.35176
Córdoba, Diego; Gancedo, Francisco
2010
Local solvability and turning for the inhomogeneous Muskat problem. Zbl 1295.35385
Berselli, Luigi C.; Córdoba, Diego; Granero-Belinchón, Rafael
2014
On the collapse of tubes carried by 3D incompressible flows. Zbl 0999.76020
Cordoba, Diego; Fefferman, Charles
2001
Splash singularities for the one-phase Muskat problem in stable regimes. Zbl 1350.35151
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco
2016
Integral inequalities for the Hilbert transform applied to a nonlocal transport equation. Zbl 1106.35059
Córdoba, Antonio; Córdoba, Diego; Fontelos, Marco A.
2006
Porous media: The Muskat problem in three dimensions. Zbl 1273.35221
Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco
2013
Analytical behavior of two-dimensional incompressible flow in porous media. Zbl 1144.81332
Córdoba, Diego; Gancedo, Francisco; Orive, Rafael
2007
Interface evolution: water waves in 2-D. Zbl 1183.35276
Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco
2010
Behavior of several two-dimensional fluid equations in singular scenarios. Zbl 0965.35133
Cordoba, Diego; Fefferman, Charles
2001
The confined Muskat problem: differences with the deep water regime. Zbl 1301.35102
Córdoba Gazolaz, Diego; Granero-Belinchón, Rafael; Orive-Illera, Rafael
2014
Scalars convected by a two-dimensional incompressible flow. Zbl 1019.76013
Cordoba, Diego; Fefferman, Charles
2002
Singularity formations for a surface wave model. Zbl 1223.35016
Castro, Angel; Córdoba, Diego; Gancedo, Francisco
2010
Splash singularity for water waves. Zbl 1256.76018
Castro, Angel; Córdoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; Gómez-Serrano, Javier
2012
On the regularity of the solutions to the 3D Navier-Stokes equations: a remark on the role of the helicity. Zbl 1172.35051
Berselli, Luigi C.; Córdoba, Diego
2009
Evolution of current sheets and regularity of ideal incompressible magnetic fluids in 2D. Zbl 1038.76060
Cordoba, Diego; Marliani, Christiane
2000
Almost sharp fronts for the surface quasi-geostrophic equation. Zbl 1063.76011
Córdoba, Diego; Fefferman, Charles; Rodrigo, José Luis
2004
Turning waves and breakdown for incompressible flows. Zbl 1256.76019
Castro, Angel; Córdoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; López-Fernández, María
2011
Uniqueness for SQG patch solutions. Zbl 1390.35244
Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco
2018
Global smooth solutions for the inviscid SQG equation. Zbl 1444.35003
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier
2020
Global solutions for the generalized SQG patch equation. Zbl 1420.35424
Córdoba, Diego; Gómez-Serrano, Javier; Ionescu, Alexandru D.
2019
Finite time singularities for water waves with surface tension. Zbl 1328.76012
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier
2012
A note on stability shifting for the Muskat problem. II: From stable to unstable and back to stable. Zbl 1360.35171
Córdoba, Diego; Gómez-Serrano, Javier; Zlatoš, Andrej
2017
A note on stability shifting for the Muskat problem. Zbl 1353.76084
Córdoba, Diego; Gómez-Serrano, Javier; Zlatoš, Andrej
2015
Uniformly rotating smooth solutions for the incompressible 2D Euler equations. Zbl 1405.35147
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier
2019
Non-splat singularity for the one-phase Muskat problem. Zbl 1351.35130
Córdoba, Diego; Pernas-Castaño, Tania
2017
A note on interface dynamics for convection in porous media. Zbl 1143.76574
Córdoba, Diego; Gancedo, Francisco; Orive, Rafael
2008
The Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces. Zbl 1203.76059
Cordoba, Antonio; Cordoba, Diego; Gancedo, Francisco
2009
Remarks on geometric properties of SQG sharp fronts and $$\alpha$$-patches. Zbl 1299.76032
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier; Zamora, Alberto Martín
2014
Splash singularities for the free boundary Navier-Stokes equations. Zbl 1428.35275
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier
2019
On the existence of stationary splash singularities for the Euler equations. Zbl 1331.35267
Córdoba, Diego; Enciso, Alberto; Grubic, Nastasia
2016
Self-similar solutions for a transport equation with non-local flux. Zbl 1186.35154
Castro, Angel; Córdoba, Diego
2009
Global existence of quasi-stratified solutions for the confined IPM equation. Zbl 1444.76103
Castro, Ángel; Córdoba, Diego; Lear, Daniel
2019
Global well-posedness for the 2D stable Muskat problem in $$H^{3/2}$$. Zbl 07480973
Córdoba, Diego; Lazar, Omar
2021
Mixing solutions for the Muskat problem. Zbl 1491.35331
Castro, A.; Córdoba, D.; Faraco, D.
2021
Potato chip singularities of 3D flows. Zbl 1073.76004
Cordoba, Diego; Fefferman, Charles
2001
A naive parametrization for the vortex-sheet problem. Zbl 1296.76022
Castro, Angel; Córdoba, Diego; Gancedo, Francisco
2012
On the search for singularities in incompressible flows. Zbl 1164.76320
Córdoba, Diego
2006
On the geometry of solutions of the quasi-geostrophic and Euler equations. Zbl 0888.35083
Cordoba, Diego
1997
Drops: the collapse of capillary jets. Zbl 1063.76015
Cordoba, Antonio; Cordoba, Diego; Fefferman, Charles; Fontelos, Marco A.
2002
A geometrical constraint for capillary jet breakup. Zbl 1061.35074
Córdoba, A.; Córdoba, D.; Fefferman, C. L.; Fontelos, M. A.
2004
On the splash and splat singularities for the one-phase inhomogeneous Muskat problem. Zbl 1403.35232
Córdoba, Diego; Pernas-Castaño, Tania
2018
The lifespan of classical solutions for the inviscid surface quasi-geostrophic equation. Zbl 1477.35271
Castro, Ángel; Córdoba, Diego; Zheng, Fan
2021
Contour dynamics for 2D active scalars. Zbl 1419.35159
Córdoba, Diego; Gancedo, Francisco
2009
Non existence and strong ill-posedness in $$C^k$$ and Sobolev spaces for SQG. Zbl 07574804
Córdoba, Diego; Martínez-Zoroa, Luis
2022
Non existence and strong ill-posedness in $$C^k$$ and Sobolev spaces for SQG. Zbl 07574804
Córdoba, Diego; Martínez-Zoroa, Luis
2022
Global well-posedness for the 2D stable Muskat problem in $$H^{3/2}$$. Zbl 07480973
Córdoba, Diego; Lazar, Omar
2021
Mixing solutions for the Muskat problem. Zbl 1491.35331
Castro, A.; Córdoba, D.; Faraco, D.
2021
The lifespan of classical solutions for the inviscid surface quasi-geostrophic equation. Zbl 1477.35271
Castro, Ángel; Córdoba, Diego; Zheng, Fan
2021
Global smooth solutions for the inviscid SQG equation. Zbl 1444.35003
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier
2020
On the asymptotic stability of stratified solutions for the 2D Boussinesq equations with a velocity damping term. Zbl 1425.35149
Castro, Ángel; Córdoba, Diego; Lear, Daniel
2019
Global solutions for the generalized SQG patch equation. Zbl 1420.35424
Córdoba, Diego; Gómez-Serrano, Javier; Ionescu, Alexandru D.
2019
Uniformly rotating smooth solutions for the incompressible 2D Euler equations. Zbl 1405.35147
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier
2019
Splash singularities for the free boundary Navier-Stokes equations. Zbl 1428.35275
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier
2019
Global existence of quasi-stratified solutions for the confined IPM equation. Zbl 1444.76103
Castro, Ángel; Córdoba, Diego; Lear, Daniel
2019
Uniqueness for SQG patch solutions. Zbl 1390.35244
Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco
2018
On the splash and splat singularities for the one-phase inhomogeneous Muskat problem. Zbl 1403.35232
Córdoba, Diego; Pernas-Castaño, Tania
2018
A note on stability shifting for the Muskat problem. II: From stable to unstable and back to stable. Zbl 1360.35171
Córdoba, Diego; Gómez-Serrano, Javier; Zlatoš, Andrej
2017
Non-splat singularity for the one-phase Muskat problem. Zbl 1351.35130
Córdoba, Diego; Pernas-Castaño, Tania
2017
On the Muskat problem: global in time results in 2D and 3D. Zbl 1369.35053
Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Rodríguez-Piazza, Luis; Strain, Robert M.
2016
Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations. Zbl 1339.35234
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier
2016
Uniformly rotating analytic global patch solutions for active scalars. Zbl 1397.35020
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier
2016
Splash singularities for the one-phase Muskat problem in stable regimes. Zbl 1350.35151
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco
2016
On the existence of stationary splash singularities for the Euler equations. Zbl 1331.35267
Córdoba, Diego; Enciso, Alberto; Grubic, Nastasia
2016
A note on stability shifting for the Muskat problem. Zbl 1353.76084
Córdoba, Diego; Gómez-Serrano, Javier; Zlatoš, Andrej
2015
Local solvability and turning for the inhomogeneous Muskat problem. Zbl 1295.35385
Berselli, Luigi C.; Córdoba, Diego; Granero-Belinchón, Rafael
2014
The confined Muskat problem: differences with the deep water regime. Zbl 1301.35102
Córdoba Gazolaz, Diego; Granero-Belinchón, Rafael; Orive-Illera, Rafael
2014
Remarks on geometric properties of SQG sharp fronts and $$\alpha$$-patches. Zbl 1299.76032
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier; Zamora, Alberto Martín
2014
On the global existence for the Muskat problem. Zbl 1258.35002
Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Strain, Robert M.
2013
Finite time singularities for the free boundary incompressible Euler equations. Zbl 1291.35199
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier
2013
Breakdown of smoothness for the Muskat problem. Zbl 1293.35234
Castro, Ángel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco
2013
Porous media: The Muskat problem in three dimensions. Zbl 1273.35221
Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco
2013
Generalized surface quasi-geostrophic equations with singular velocities. Zbl 1244.35108
Chae, Dongho; Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Wu, Jiahong
2012
Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves. Zbl 1267.76033
Castro, Ángel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; López-Fernández, María
2012
Splash singularity for water waves. Zbl 1256.76018
Castro, Angel; Córdoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; Gómez-Serrano, Javier
2012
Finite time singularities for water waves with surface tension. Zbl 1328.76012
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier
2012
A naive parametrization for the vortex-sheet problem. Zbl 1296.76022
Castro, Angel; Córdoba, Diego; Gancedo, Francisco
2012
Interface evolution: the Hele-Shaw and Muskat problems. Zbl 1229.35204
Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco
2011
Lack of uniqueness for weak solutions of the incompressible porous media equation. Zbl 1241.35156
Cordoba, Diego; Faraco, Daniel; Gancedo, Francisco
2011
Turning waves and breakdown for incompressible flows. Zbl 1256.76019
Castro, Angel; Córdoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; López-Fernández, María
2011
Infinite energy solutions of the surface quasi-geostrophic equation. Zbl 1205.35219
Castro, A.; Córdoba, D.
2010
Absence of squirt singularities for the multi-phase Muskat problem. Zbl 1198.35176
Córdoba, Diego; Gancedo, Francisco
2010
Interface evolution: water waves in 2-D. Zbl 1183.35276
Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco
2010
Singularity formations for a surface wave model. Zbl 1223.35016
Castro, Angel; Córdoba, Diego; Gancedo, Francisco
2010
A maximum principle for the Muskat problem for fluids with different densities. Zbl 1173.35637
Córdoba, Diego; Gancedo, Francisco
2009
Incompressible flow in porous media with fractional diffusion. Zbl 1169.76058
Castro, Ángel; Córdoba, Diego; Gancedo, Francisco; Orive, Rafael
2009
On the regularity of the solutions to the 3D Navier-Stokes equations: a remark on the role of the helicity. Zbl 1172.35051
Berselli, Luigi C.; Córdoba, Diego
2009
The Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces. Zbl 1203.76059
Cordoba, Antonio; Cordoba, Diego; Gancedo, Francisco
2009
Self-similar solutions for a transport equation with non-local flux. Zbl 1186.35154
Castro, Angel; Córdoba, Diego
2009
Contour dynamics for 2D active scalars. Zbl 1419.35159
Córdoba, Diego; Gancedo, Francisco
2009
Global existence, singularities and ill-posedness for a nonlocal flux. Zbl 1186.35002
Castro, A.; Córdoba, D.
2008
A note on interface dynamics for convection in porous media. Zbl 1143.76574
Córdoba, Diego; Gancedo, Francisco; Orive, Rafael
2008
Contour dynamics of incompressible 3-D fluids in a porous medium with different densities. Zbl 1120.76064
Córdoba, Diego; Gancedo, Francisco
2007
Analytical behavior of two-dimensional incompressible flow in porous media. Zbl 1144.81332
Córdoba, Diego; Gancedo, Francisco; Orive, Rafael
2007
Integral inequalities for the Hilbert transform applied to a nonlocal transport equation. Zbl 1106.35059
Córdoba, Antonio; Córdoba, Diego; Fontelos, Marco A.
2006
On the search for singularities in incompressible flows. Zbl 1164.76320
Córdoba, Diego
2006
Formation of singularities for a transport equation with nonlocal velocity. Zbl 1101.35052
Córdoba, Antonio; Córdoba, Diego; Fontelos, Marco A.
2005
Evidence of singularities for a family of contour dynamics equations. Zbl 1135.76315
Córdoba, Diego; Fontelos, Marco A.; Mancho, Ana M.; Rodrigo, Jose L.
2005
Finite time singularities in a 1D model of the quasi-geostrophic equation. Zbl 1128.76372
Chae, Dongho; Córdoba, Antonio; Córdoba, Diego; Fontelos, Marco A.
2005
A maximum principle applied to quasi-geostrophic equations. Zbl 1309.76026
Córdoba, Antonio; Córdoba, Diego
2004
On squirt singularities in hydrodynamics. Zbl 1078.76018
Córdoba, Diego; Fefferman, Charles; de la Llave, Rafael
2004
Almost sharp fronts for the surface quasi-geostrophic equation. Zbl 1063.76011
Córdoba, Diego; Fefferman, Charles; Rodrigo, José Luis
2004
A geometrical constraint for capillary jet breakup. Zbl 1061.35074
Córdoba, A.; Córdoba, D.; Fefferman, C. L.; Fontelos, M. A.
2004
A pointwise estimate for fractionary derivatives with applications to partial differential equations. Zbl 1111.26010
Córdoba, Antonio; Córdoba, Diego
2003
Growth of solutions for QG and 2D Euler equations. Zbl 1013.76011
Cordoba, Diego; Fefferman, Charles
2002
Scalars convected by a two-dimensional incompressible flow. Zbl 1019.76013
Cordoba, Diego; Fefferman, Charles
2002
Drops: the collapse of capillary jets. Zbl 1063.76015
Cordoba, Antonio; Cordoba, Diego; Fefferman, Charles; Fontelos, Marco A.
2002
On the critical dissipative quasi-geostrophic equation. Zbl 0989.86004
Constantin, Peter; Cordoba, Diego; Wu, Jiahong
2001
On the collapse of tubes carried by 3D incompressible flows. Zbl 0999.76020
Cordoba, Diego; Fefferman, Charles
2001
Behavior of several two-dimensional fluid equations in singular scenarios. Zbl 0965.35133
Cordoba, Diego; Fefferman, Charles
2001
Potato chip singularities of 3D flows. Zbl 1073.76004
Cordoba, Diego; Fefferman, Charles
2001
Evolution of current sheets and regularity of ideal incompressible magnetic fluids in 2D. Zbl 1038.76060
Cordoba, Diego; Marliani, Christiane
2000
Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation. Zbl 0920.35109
Cordoba, Diego
1998
On the geometry of solutions of the quasi-geostrophic and Euler equations. Zbl 0888.35083
Cordoba, Diego
1997
all top 5

### Cited by 762 Authors

 48 Cordoba, Diego 36 Wu, Jiahong 32 Gancedo, Francisco 27 Granero Belinchón, Rafael 25 Castro, Ángel 24 Chae, Dongho 23 Constantin, Peter 19 Fefferman, Charles Louis 18 Vicol, Vlad C. 17 Alazard, Thomas 17 Gómez-Serrano, Javier 16 Li, Dong 16 Xue, Liutang 15 Córdoba Barba, Antonio Juan 15 Rodrigo, José Luis 14 Xu, Xiaojing 14 Ye, Zhuan 13 Hmidi, Taoufik 11 Dong, Boqing 11 Shkoller, Steve 10 Dong, Hongjie 10 Matioc, Bogdan-Vasile 10 Zhang, Zhifei 9 Kiselev, Alexander A. 9 Lazar, Omar 9 Nguyen, Huy Quang 9 Yamazaki, Kazuo 8 Ferreira, Lucas Catão de Freitas 8 Székelyhidi, László jun. 8 Yamamoto, Masakazu 7 Ambrose, David M. 7 Bae, Hantaek 7 Friedlander, Susan Jean 7 Guo, Boling 7 Kirane, Mokhtar 7 Miao, Changxing 7 Yao, Zhengan 7 Yuan, Baoquan 7 Zhao, Kun 6 Ahmad, Bashir 6 Alonso-Orán, Diego 6 Al-saedi, Ahmed Eid Salem 6 Burczak, Jan 6 Elgindi, Tarek Mohamed 6 Faraco, Daniel 6 Fontelos López, Marco Antonio 6 García-Juárez, Eduardo 6 Ignatova, Mihaela 6 Jeong, In-Jee 6 Vazquez, Juan Luis 6 Wang, Shu 5 Ambrosio, Vincenzo 5 D’Abbicco, Marcello 5 Dai, Mimi 5 Dlotko, Tomasz W. 5 Du, Yi 5 Escher, Joachim 5 Hoang, Vu Phuong 5 Ionescu, Alexandru D. 5 Jiu, Quansen 5 Kim, Seonghak 5 Kukavica, Igor 5 Li, Jingna 5 Liu, Zuhan 5 Qiu, Hua 5 Radosz, Maria 5 Saut, Jean-Claude 5 Sugiyama, Yuusuke 5 Valdinoci, Enrico 5 Wang, Yuexun 5 Yu, Xinwei 5 Zhou, Ling 4 Beirão da Veiga, Hugo 4 Biler, Piotr 4 Caffarelli, Luis Ángel 4 Chamorro, Diego 4 Chen, Zhimin 4 Coutand, Daniel 4 De Lellis, Camillo 4 de Pablo, Arturo 4 Do, Tam 4 Enciso, Alberto 4 Garcia, Claudia I. 4 Hou, Thomas Yizhao 4 Ju, Ning 4 Karch, Grzegorz 4 Lei, Yuzhu 4 Martínez, Ángel David 4 Martinez, Vincent R. 4 Mateu, Joan 4 Niche, César J. 4 Pavlović, Nataša 4 Pu, Xueke 4 Pusateri, Fabio 4 Scrobogna, Stefano 4 Strain, Robert M. 4 Sun, Chunyou 4 Vasseur, Alexis F. 4 Wang, Weike 4 Wang, Yejuan ...and 662 more Authors
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### Cited in 153 Serials

 59 Archive for Rational Mechanics and Analysis 52 Journal of Differential Equations 49 Communications in Mathematical Physics 44 Advances in Mathematics 35 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 27 Journal of Mathematical Analysis and Applications 27 Journal of Mathematical Fluid Mechanics 22 Nonlinearity 22 SIAM Journal on Mathematical Analysis 19 Journal of Nonlinear Science 18 Physica D 17 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 16 Discrete and Continuous Dynamical Systems 14 Journal of Mathematical Physics 14 Mathematical Methods in the Applied Sciences 14 Annals of PDE 13 Journal of Functional Analysis 12 Transactions of the American Mathematical Society 11 Proceedings of the National Academy of Sciences of the United States of America 11 Calculus of Variations and Partial Differential Equations 10 Applied Mathematics Letters 9 Applicable Analysis 9 Communications on Pure and Applied Mathematics 9 Proceedings of the American Mathematical Society 9 Communications in Partial Differential Equations 9 NoDEA. Nonlinear Differential Equations and Applications 9 Nonlinear Analysis. Real World Applications 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Chinese Annals of Mathematics. Series B 8 Discrete and Continuous Dynamical Systems. Series B 7 Computers & Mathematics with Applications 7 Journal of Computational Physics 7 Monatshefte für Mathematik 7 Revista Matemática Iberoamericana 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Applied Mathematics and Computation 6 Inventiones Mathematicae 6 Annals of Mathematics. Second Series 6 Journal of Evolution Equations 5 Journal of Fluid Mechanics 5 Bulletin of the American Mathematical Society. New Series 5 Physics of Fluids 5 Abstract and Applied Analysis 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Communications on Pure and Applied Analysis 4 Memoirs of the American Mathematical Society 4 Acta Applicandae Mathematicae 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Journal of Dynamics and Differential Equations 4 Interfaces and Free Boundaries 4 Boundary Value Problems 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 4 Discrete and Continuous Dynamical Systems. Series S 4 Analysis & PDE 4 Water Waves 3 Applied Mathematics and Optimization 3 Duke Mathematical Journal 3 Pacific Journal of Mathematics 3 Journal of the American Mathematical Society 3 Geometric and Functional Analysis. GAFA 3 Fractional Calculus & Applied Analysis 3 Acta Mathematica Sinica. English Series 3 Science China. Mathematics 3 S$$\vec{\text{e}}$$MA Journal 3 Advances in Nonlinear Analysis 3 Séminaire Laurent Schwartz. EDP et Applications 2 Journal d’Analyse Mathématique 2 Journal of Statistical Physics 2 Mathematics of Computation 2 Chaos, Solitons and Fractals 2 Bulletin of the Korean Mathematical Society 2 Acta Mathematicae Applicatae Sinica. English Series 2 Asymptotic Analysis 2 Applications of Mathematics 2 Stochastic Processes and their Applications 2 Communications in Nonlinear Science and Numerical Simulation 2 Communications in Contemporary Mathematics 2 Annales Henri Poincaré 2 Milan Journal of Mathematics 2 Evolution Equations and Control Theory 2 Philosophical Transactions A. Royal Society of London 2 AIMS Mathematics 1 Geophysical and Astrophysical Fluid Dynamics 1 International Journal for Numerical Methods in Fluids 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Reports on Mathematical Physics 1 Acta Mathematica 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Archiv der Mathematik 1 Dissertationes Mathematicae 1 Indiana University Mathematics Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal ...and 53 more Serials
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### Cited in 36 Fields

 795 Partial differential equations (35-XX) 535 Fluid mechanics (76-XX) 133 Geophysics (86-XX) 46 Real functions (26-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 25 Numerical analysis (65-XX) 22 Dynamical systems and ergodic theory (37-XX) 16 Probability theory and stochastic processes (60-XX) 13 Statistical mechanics, structure of matter (82-XX) 13 Biology and other natural sciences (92-XX) 12 Functional analysis (46-XX) 12 Global analysis, analysis on manifolds (58-XX) 12 Mechanics of deformable solids (74-XX) 12 Classical thermodynamics, heat transfer (80-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 9 Ordinary differential equations (34-XX) 9 Integral equations (45-XX) 8 Differential geometry (53-XX) 7 Operator theory (47-XX) 6 Integral transforms, operational calculus (44-XX) 4 Functions of a complex variable (30-XX) 4 Optics, electromagnetic theory (78-XX) 4 Quantum theory (81-XX) 3 Potential theory (31-XX) 3 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 2 Special functions (33-XX) 2 Computer science (68-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX)

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