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Castro, Ángel

Co-Author Distance
Author ID: castro.angel Recent zbMATH articles by "Castro, Ángel"
Published as: Castro, Angel; Castro, Ángel; Castro, A.; Castro, Á.
External Links: MGP
Documents Indexed: 37 Publications since 2008, including 1 Book and 3 Additional arXiv Preprints
Co-Authors: 15 Co-Authors with 36 Joint Publications
255 Co-Co-Authors
all top 5

Co-Authors

0 single-authored
24 Cordoba, Diego
12 Gancedo, Francisco
10 Gómez-Serrano, Javier
9 Fefferman, Charles Louis
6 Faraco, Daniel
5 Lear, Daniel
3 Mengual, Francisco
2 Arnaiz, Víctor
2 Lannes, David
2 López-Fernández, María
2 Zheng, Fan
1 De Paula, Wayne
1 Frederico, Tobias
1 Gebhard, Björn
1 Orive Illera, Rafael
1 Salmè, Giovanni
1 Solera, Marcos
1 Zamora, Alberto Martín
all top 5

Serials

4 Archive for Rational Mechanics and Analysis
3 Annals of PDE
2 Nonlinearity
2 Advances in Mathematics
2 Proceedings of the National Academy of Sciences of the United States of America
2 Calculus of Variations and Partial Differential Equations
2 Discrete and Continuous Dynamical Systems
2 Annals of Mathematics. Second Series
1 Communications in Mathematical Physics
1 Journal of Fluid Mechanics
1 Journal of Mathematical Physics
1 Physics Letters. B
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 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Communications in Partial Differential Equations
1 Analysis & PDE
all top 5

Fields

33 Partial differential equations (35-XX)
30 Fluid mechanics (76-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Numerical analysis (65-XX)
2 Geophysics (86-XX)
1 Operator theory (47-XX)
1 Geometry (51-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

31 Publications have been cited 843 times in 489 Documents Cited by ▼ Year ▼
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
91
2012
Finite time singularities for the free boundary incompressible Euler equations. Zbl 1291.35199
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier
72
2013
Breakdown of smoothness for the Muskat problem. Zbl 1293.35234
Castro, Ángel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco
58
2013
Uniformly rotating analytic global patch solutions for active scalars. Zbl 1397.35020
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier
51
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
50
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
48
2019
Global smooth solutions for the inviscid SQG equation. Zbl 1444.35003
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier
44
2020
Infinite energy solutions of the surface quasi-geostrophic equation. Zbl 1205.35219
Castro, A.; Córdoba, D.
42
2010
Fully nonlinear long-wave models in the presence of vorticity. Zbl 1446.76077
Castro, Angel; Lannes, David
38
2014
Global existence, singularities and ill-posedness for a nonlocal flux. Zbl 1186.35002
Castro, A.; Córdoba, D.
36
2008
Well-posedness and shallow-water stability for a new Hamiltonian formulation of the water waves equations with vorticity. Zbl 1329.35242
Castro, Angel; Lannes, David
30
2015
Incompressible flow in porous media with fractional diffusion. Zbl 1169.76058
Castro, Ángel; Córdoba, Diego; Gancedo, Francisco; Orive, Rafael
28
2009
Singularity formations for a surface wave model. Zbl 1223.35016
Castro, Angel; Córdoba, Diego; Gancedo, Francisco
28
2010
Splash singularities for the one-phase Muskat problem in stable regimes. Zbl 1350.35151
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco
28
2016
Uniformly rotating smooth solutions for the incompressible 2D Euler equations. Zbl 1405.35147
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier
25
2019
Splash singularity for water waves. Zbl 1256.76018
Castro, Angel; Córdoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; Gómez-Serrano, Javier
22
2012
Degraded mixing solutions for the Muskat problem. Zbl 1412.35246
Castro, Á.; Faraco, D.; Mengual, F.
20
2019
Finite time singularities for water waves with surface tension. Zbl 1328.76012
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier
18
2012
Turning waves and breakdown for incompressible flows. Zbl 1256.76019
Castro, Angel; Córdoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; López-Fernández, María
17
2011
Mixing solutions for the Muskat problem. Zbl 1491.35331
Castro, A.; Córdoba, D.; Faraco, D.
17
2021
Global existence of quasi-stratified solutions for the confined IPM equation. Zbl 1444.76103
Castro, Ángel; Córdoba, Diego; Lear, Daniel
13
2019
Splash singularities for the free boundary Navier-Stokes equations. Zbl 1428.35275
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier
12
2019
Remarks on geometric properties of SQG sharp fronts and \(\alpha\)-patches. Zbl 1299.76032
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier; Zamora, Alberto Martín
12
2014
Localized mixing zone for Muskat bubbles and turned interfaces. Zbl 1492.35218
Castro, Á.; Faraco, D.; Mengual, F.
7
2022
Self-similar solutions for a transport equation with non-local flux. Zbl 1186.35154
Castro, Angel; Córdoba, Diego
7
2009
Singularity formation for the fractional Euler-alignment system in 1D. Zbl 1456.35159
Arnaiz, Victor; Castro, Ángel
6
2021
Structural stability for the splash singularities of the water waves problem. Zbl 1299.76022
Castro, Angel; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier
6
2014
Traveling waves near Couette flow for the 2D Euler equation. Zbl 1516.35314
Castro, Ángel; Lear, Daniel
5
2023
Semiclassical estimates for pseudodifferential operators and the Muskat problem in the unstable regime. Zbl 1462.35278
Arnaiz, Víctor; Castro, Ángel; Faraco, Daniel
5
2021
A naive parametrization for the vortex-sheet problem. Zbl 1296.76022
Castro, Angel; Córdoba, Diego; Gancedo, Francisco
4
2012
The lifespan of classical solutions for the inviscid surface quasi-geostrophic equation. Zbl 1477.35271
Castro, Ángel; Córdoba, Diego; Zheng, Fan
3
2021
Traveling waves near Couette flow for the 2D Euler equation. Zbl 1516.35314
Castro, Ángel; Lear, Daniel
5
2023
Localized mixing zone for Muskat bubbles and turned interfaces. Zbl 1492.35218
Castro, Á.; Faraco, D.; Mengual, F.
7
2022
Mixing solutions for the Muskat problem. Zbl 1491.35331
Castro, A.; Córdoba, D.; Faraco, D.
17
2021
Singularity formation for the fractional Euler-alignment system in 1D. Zbl 1456.35159
Arnaiz, Victor; Castro, Ángel
6
2021
Semiclassical estimates for pseudodifferential operators and the Muskat problem in the unstable regime. Zbl 1462.35278
Arnaiz, Víctor; Castro, Ángel; Faraco, Daniel
5
2021
The lifespan of classical solutions for the inviscid surface quasi-geostrophic equation. Zbl 1477.35271
Castro, Ángel; Córdoba, Diego; Zheng, Fan
3
2021
Global smooth solutions for the inviscid SQG equation. Zbl 1444.35003
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier
44
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
48
2019
Uniformly rotating smooth solutions for the incompressible 2D Euler equations. Zbl 1405.35147
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier
25
2019
Degraded mixing solutions for the Muskat problem. Zbl 1412.35246
Castro, Á.; Faraco, D.; Mengual, F.
20
2019
Global existence of quasi-stratified solutions for the confined IPM equation. Zbl 1444.76103
Castro, Ángel; Córdoba, Diego; Lear, Daniel
13
2019
Splash singularities for the free boundary Navier-Stokes equations. Zbl 1428.35275
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier
12
2019
Uniformly rotating analytic global patch solutions for active scalars. Zbl 1397.35020
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier
51
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
50
2016
Splash singularities for the one-phase Muskat problem in stable regimes. Zbl 1350.35151
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco
28
2016
Well-posedness and shallow-water stability for a new Hamiltonian formulation of the water waves equations with vorticity. Zbl 1329.35242
Castro, Angel; Lannes, David
30
2015
Fully nonlinear long-wave models in the presence of vorticity. Zbl 1446.76077
Castro, Angel; Lannes, David
38
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
12
2014
Structural stability for the splash singularities of the water waves problem. Zbl 1299.76022
Castro, Angel; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier
6
2014
Finite time singularities for the free boundary incompressible Euler equations. Zbl 1291.35199
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier
72
2013
Breakdown of smoothness for the Muskat problem. Zbl 1293.35234
Castro, Ángel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco
58
2013
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
91
2012
Splash singularity for water waves. Zbl 1256.76018
Castro, Angel; Córdoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; Gómez-Serrano, Javier
22
2012
Finite time singularities for water waves with surface tension. Zbl 1328.76012
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier
18
2012
A naive parametrization for the vortex-sheet problem. Zbl 1296.76022
Castro, Angel; Córdoba, Diego; Gancedo, Francisco
4
2012
Turning waves and breakdown for incompressible flows. Zbl 1256.76019
Castro, Angel; Córdoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; López-Fernández, María
17
2011
Infinite energy solutions of the surface quasi-geostrophic equation. Zbl 1205.35219
Castro, A.; Córdoba, D.
42
2010
Singularity formations for a surface wave model. Zbl 1223.35016
Castro, Angel; Córdoba, Diego; Gancedo, Francisco
28
2010
Incompressible flow in porous media with fractional diffusion. Zbl 1169.76058
Castro, Ángel; Córdoba, Diego; Gancedo, Francisco; Orive, Rafael
28
2009
Self-similar solutions for a transport equation with non-local flux. Zbl 1186.35154
Castro, Angel; Córdoba, Diego
7
2009
Global existence, singularities and ill-posedness for a nonlocal flux. Zbl 1186.35002
Castro, A.; Córdoba, D.
36
2008
all cited Publications top 5 cited Publications
all top 5

Cited by 512 Authors

28 Cordoba, Diego
27 Granero Belinchón, Rafael
25 Castro, Ángel
25 Gancedo, Francisco
18 Alazard, Thomas
18 Gómez-Serrano, Javier
14 Hmidi, Taoufik
12 Wu, Jiahong
10 Jeong, In-Jee
10 Vicol, Vlad C.
9 Cao, Daomin
9 Fefferman, Charles Louis
9 Qin, Guolin
9 Shkoller, Steve
8 García-Juárez, Eduardo
8 Garcia, Claudia I.
8 Zou, Changjun
7 Elgindi, Tarek Mohamed
7 Ferreira, Lucas Catão de Freitas
7 Kukavica, Igor
7 Lannes, David
7 Lazar, Omar
7 Mateu, Joan
7 Matioc, Bogdan-Vasile
7 Saut, Jean-Claude
7 Xue, Liutang
6 Alonso-Orán, Diego
6 Hassainia, Zineb
6 Ionescu, Alexandru D.
6 Nguyen, Huy Quang
6 Székelyhidi, László jun.
6 Tan, Changhui
5 Burczak, Jan
5 Dong, Lihua
5 Faraco, Daniel
5 Kiselev, Alexander A.
5 Lear, Daniel
5 Mengual, Francisco
5 Patel, Neel
5 Scrobogna, Stefano
5 Wang, Chao
5 Wang, Yuexun
5 Yao, Yao
5 Zhan, Weicheng
5 Zuily, Claude
4 Bae, Hantaek
4 Bianchini, Roberta
4 Burq, Nicolas
4 Chae, Dongho
4 Chen, Dongxiang
4 Chen, Jiajie
4 Chen, Xiaoli
4 Constantin, Peter
4 Coutand, Daniel
4 Gavrilyuk, Sergey L.
4 Huang, De
4 Ignatova, Mihaela
4 Kim, Junha
4 Ma, Liangliang
4 Masmoudi, Nader
4 Preston, Stephen C.
4 Pusateri, Fabio
4 Shi, Jia
4 Strain, Robert M.
4 Su, Qingtang
4 Tuffaha, Amjad M.
4 Yamazaki, Kazuo
4 Zhang, Qingtian
4 Zlatoš, Andrej
3 Agrawal, Siddhant
3 Ambrose, David M.
3 Berti, Massimiliano
3 Buckmaster, Tristan
3 Camassa, Roberto
3 Di Iorio, Elena
3 Disconzi, Marcelo Mendes
3 Dong, Boqing
3 Enciso, Alberto
3 Gebhard, Björn
3 Godard-Cadillac, Ludovic
3 Grubic, Nastasia
3 Guyenne, Philippe
3 Hunter, John K.
3 Kalisch, Henrik
3 Kolumban, Jozsef J.
3 Lindberg, Sauli
3 Marcati, Pierangelo
3 Marche, Fabien
3 Ming, Mei
3 Ożański, Wojciech Sławomir
3 Park, Jaemin
3 Pausader, Benoît
3 Renault, Coralie
3 Richard, Gäel Loïc
3 Shu, Jingyang
3 Spirito, Stefano
3 Wheeler, Miles H.
3 Xu, Xiaojing
3 Zhang, Qian
3 Zhang, Zhifei
...and 412 more Authors
all top 5

Cited in 105 Serials

42 Archive for Rational Mechanics and Analysis
28 Advances in Mathematics
28 Journal of Differential Equations
27 Nonlinearity
24 Communications in Mathematical Physics
24 SIAM Journal on Mathematical Analysis
18 Annals of PDE
12 Communications on Pure and Applied Mathematics
12 Journal of Mathematical Fluid Mechanics
11 Journal of Fluid Mechanics
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Transactions of the American Mathematical Society
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Journal of Nonlinear Science
8 Journal of Mathematical Physics
8 Indiana University Mathematics Journal
8 Journal of Functional Analysis
8 Calculus of Variations and Partial Differential Equations
8 Discrete and Continuous Dynamical Systems
7 Memoirs of the American Mathematical Society
7 European Journal of Mechanics. B. Fluids
6 Inventiones Mathematicae
6 Proceedings of the American Mathematical Society
6 Physica D
6 Analysis & PDE
5 Asymptotic Analysis
5 Water Waves
4 Journal of Computational Physics
4 Mathematical Methods in the Applied Sciences
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Quarterly of Applied Mathematics
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Journal of Evolution Equations
4 Boundary Value Problems
3 Applied Mathematics and Computation
3 Studies in Applied Mathematics
3 Communications in Partial Differential Equations
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Proceedings of the National Academy of Sciences of the United States of America
3 NoDEA. Nonlinear Differential Equations and Applications
3 Annals of Mathematics. Second Series
3 Regular and Chaotic Dynamics
3 Nonlinear Analysis. Real World Applications
3 S\(\vec{\text{e}}\)MA Journal
2 Wave Motion
2 Applied Mathematics and Optimization
2 Duke Mathematical Journal
2 Mathematische Annalen
2 Chinese Annals of Mathematics. Series B
2 Applied Mathematics Letters
2 Sugaku Expositions
2 Interfaces and Free Boundaries
2 Discrete and Continuous Dynamical Systems. Series S
2 Science China. Mathematics
2 Séminaire Laurent Schwartz. EDP et Applications
2 Philosophical Transactions A. Royal Society of London
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Computers and Fluids
1 Computer Methods in Applied Mechanics and Engineering
1 Geophysical and Astrophysical Fluid Dynamics
1 International Journal of Theoretical Physics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Mathematical Analysis and Applications
1 Lithuanian Mathematical Journal
1 American Journal of Mathematics
1 Canadian Journal of Mathematics
1 Monatshefte für Mathematik
1 Pacific Journal of Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Tokyo Journal of Mathematics
1 Applied Numerical Mathematics
1 Revista Matemática Iberoamericana
1 European Journal of Applied Mathematics
1 Differential Geometry and its Applications
1 SIAM Journal on Applied Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Dynamics and Differential Equations
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Annales Mathématiques Blaise Pascal
1 Advances in Computational Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Abstract and Applied Analysis
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Discrete Dynamics in Nature and Society
1 Communications in Contemporary Mathematics
1 La Gaceta de la Real Sociedad Matemática Española
1 Foundations of Computational Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Communications on Pure and Applied Analysis
1 Milan Journal of Mathematics
1 Multiscale Modeling & Simulation
1 Oberwolfach Reports
1 Communications in Computational Physics
1 Mathematical Modelling of Natural Phenomena
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 Evolution Equations and Control Theory
1 Journal of Mathematics
...and 5 more Serials
all top 5

Cited in 33 Fields

449 Partial differential equations (35-XX)
381 Fluid mechanics (76-XX)
64 Geophysics (86-XX)
22 Real functions (26-XX)
19 Numerical analysis (65-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
10 Biology and other natural sciences (92-XX)
9 Mechanics of deformable solids (74-XX)
8 Integral transforms, operational calculus (44-XX)
7 Operator theory (47-XX)
7 Classical thermodynamics, heat transfer (80-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Functional analysis (46-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Probability theory and stochastic processes (60-XX)
5 Mechanics of particles and systems (70-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
3 Special functions (33-XX)
3 Integral equations (45-XX)
3 Differential geometry (53-XX)
3 Astronomy and astrophysics (85-XX)
3 Systems theory; control (93-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Functions of a complex variable (30-XX)
2 Potential theory (31-XX)
2 Computer science (68-XX)
2 Quantum theory (81-XX)
1 General and overarching topics; collections (00-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Ordinary differential equations (34-XX)
1 Approximations and expansions (41-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year