Edit Profile (opens in new tab) Gancedo, Francisco Compute Distance To: Compute Author ID: gancedo.francisco Published as: Gancedo, Francisco; Gancedo, F. External Links: MGP · ORCID Documents Indexed: 38 Publications since 2007 Co-Authors: 21 Co-Authors with 36 Joint Publications 506 Co-Co-Authors all top 5 Co-Authors 2 single-authored 26 Cordoba, Diego 12 Castro, Ángel 9 Fefferman, Charles Louis 5 Córdoba Barba, Antonio Juan 5 Gómez-Serrano, Javier 4 Constantin, Peter 4 García-Juárez, Eduardo 4 Strain, Robert M. 3 Orive Illera, Rafael 2 López-Fernández, María 2 Patel, Neel 2 Vicol, Vlad C. 1 Chae, Dongho 1 Faraco, Daniel 1 Friedlander, Susan Jean 1 Granero Belinchón, Rafael 1 Rodríguez-Piazza, Luis 1 Scrobogna, Stefano 1 Shvydkoy, Roman V. 1 Sun, Weiran 1 Wu, Jiahong all top 5 Serials 4 Archive for Rational Mechanics and Analysis 4 Communications in Mathematical Physics 4 Proceedings of the National Academy of Sciences of the United States of America 3 Journal of Mathematical Physics 3 Advances in Mathematics 3 Annals of Mathematics. Second Series 3 Annals of PDE 2 Nonlinearity 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Communications on Pure and Applied Mathematics 1 American Journal of Mathematics 1 Physica D 1 Discrete and Continuous Dynamical Systems 1 European Mathematical Society Newsletter 1 Journal of the European Mathematical Society (JEMS) 1 Analysis & PDE 1 S\(\vec{\text{e}}\)MA Journal 1 Transactions of the American Mathematical Society. Series B Fields 36 Fluid mechanics (76-XX) 34 Partial differential equations (35-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 Integral equations (45-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 936 times in 350 Documents Cited by ▼ Year ▼ Generalized surface quasi-geostrophic equations with singular velocities. Zbl 1244.35108Chae, Dongho; Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Wu, Jiahong 74 2012 Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves. Zbl 1267.76033Castro, Ángel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; López-Fernández, María 68 2012 Contour dynamics of incompressible 3-D fluids in a porous medium with different densities. Zbl 1120.76064Córdoba, Diego; Gancedo, Francisco 62 2007 On the global existence for the Muskat problem. Zbl 1258.35002Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Strain, Robert M. 60 2013 Interface evolution: the Hele-Shaw and Muskat problems. Zbl 1229.35204Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco 58 2011 Existence for the \(\alpha \)-patch model and the QG sharp front in Sobolev spaces. Zbl 1148.35099Gancedo, Francisco 50 2008 Lack of uniqueness for weak solutions of the incompressible porous media equation. Zbl 1241.35156Cordoba, Diego; Faraco, Daniel; Gancedo, Francisco 49 2011 Finite time singularities for the free boundary incompressible Euler equations. Zbl 1291.35199Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier 49 2013 Breakdown of smoothness for the Muskat problem. Zbl 1293.35234Castro, Ángel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco 42 2013 Global regularity for 2D Muskat equations with finite slope. Zbl 1365.76304Constantin, Peter; Gancedo, Francisco; Shvydkoy, Roman; Vicol, Vlad 38 2017 Absence of splash singularities for surface quasi-geostrophic sharp fronts and the Muskat problem. Zbl 1355.76065Gancedo, Francisco; Strain, Robert M. 37 2014 On the Muskat problem: global in time results in 2D and 3D. Zbl 1369.35053Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Rodríguez-Piazza, Luis; Strain, Robert M. 35 2016 A maximum principle for the Muskat problem for fluids with different densities. Zbl 1173.35637Córdoba, Diego; Gancedo, Francisco 26 2009 Incompressible flow in porous media with fractional diffusion. Zbl 1169.76058Castro, Ángel; Córdoba, Diego; Gancedo, Francisco; Orive, Rafael 24 2009 Absence of squirt singularities for the multi-phase Muskat problem. Zbl 1198.35176Córdoba, Diego; Gancedo, Francisco 19 2010 Porous media: The Muskat problem in three dimensions. Zbl 1273.35221Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco 19 2013 Interface evolution: water waves in 2-D. Zbl 1183.35276Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco 18 2010 On the Muskat problem with viscosity jump: global in time results. Zbl 1410.35117Gancedo, F.; García-Juárez, E.; Patel, N.; Strain, R. M. 18 2019 Splash singularities for the one-phase Muskat problem in stable regimes. Zbl 1350.35151Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco 18 2016 Analytical behavior of two-dimensional incompressible flow in porous media. Zbl 1144.81332Córdoba, Diego; Gancedo, Francisco; Orive, Rafael 18 2007 Splash singularity for water waves. Zbl 1256.76018Castro, Angel; Córdoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; Gómez-Serrano, Javier 16 2012 Turning waves and breakdown for incompressible flows. Zbl 1256.76019Castro, Angel; Córdoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; López-Fernández, María 15 2011 Singularity formations for a surface wave model. Zbl 1223.35016Castro, Angel; Córdoba, Diego; Gancedo, Francisco 15 2010 Uniqueness for SQG patch solutions. Zbl 1390.35244Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco 15 2018 A survey for the Muskat problem and a new estimate. Zbl 1384.35084Gancedo, Francisco 11 2017 Finite time singularities for water waves with surface tension. Zbl 1328.76012Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier 11 2012 Global regularity of 2D density patches for inhomogeneous Navier-Stokes. Zbl 1394.35322Gancedo, Francisco; García-Juárez, Eduardo 10 2018 The Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces. Zbl 1203.76059Cordoba, Antonio; Cordoba, Diego; Gancedo, Francisco 9 2009 A note on interface dynamics for convection in porous media. Zbl 1143.76574Córdoba, Diego; Gancedo, Francisco; Orive, Rafael 9 2008 On a singular incompressible porous media equation. Zbl 1452.76233Friedlander, Susan; Gancedo, Francisco; Sun, Weiran; Vicol, Vlad 9 2012 Global regularity for 2D Boussinesq temperature patches with no diffusion. Zbl 1403.35236Gancedo, Francisco; García-Juárez, Eduardo 8 2017 Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium. Zbl 1459.76053Gancedo, Francisco; Granero-Belinchón, Rafael; Scrobogna, Stefano 6 2020 Splash singularities for the free boundary Navier-Stokes equations. Zbl 1428.35275Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier 6 2019 Structural stability for the splash singularities of the water waves problem. Zbl 1299.76022Castro, Angel; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier 5 2014 On the local existence and blow-up for generalized SQG patches. Zbl 1473.35473Gancedo, Francisco; Patel, Neel 3 2021 A naive parametrization for the vortex-sheet problem. Zbl 1296.76022Castro, Angel; Córdoba, Diego; Gancedo, Francisco 3 2012 Regularity results for viscous 3D Boussinesq temperature fronts. Zbl 1448.76082Gancedo, Francisco; García-Juárez, Eduardo 2 2020 Contour dynamics for 2D active scalars. Zbl 1419.35159Córdoba, Diego; Gancedo, Francisco 1 2009 On the local existence and blow-up for generalized SQG patches. Zbl 1473.35473Gancedo, Francisco; Patel, Neel 3 2021 Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium. Zbl 1459.76053Gancedo, Francisco; Granero-Belinchón, Rafael; Scrobogna, Stefano 6 2020 Regularity results for viscous 3D Boussinesq temperature fronts. Zbl 1448.76082Gancedo, Francisco; García-Juárez, Eduardo 2 2020 On the Muskat problem with viscosity jump: global in time results. Zbl 1410.35117Gancedo, F.; García-Juárez, E.; Patel, N.; Strain, R. M. 18 2019 Splash singularities for the free boundary Navier-Stokes equations. Zbl 1428.35275Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier 6 2019 Uniqueness for SQG patch solutions. Zbl 1390.35244Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco 15 2018 Global regularity of 2D density patches for inhomogeneous Navier-Stokes. Zbl 1394.35322Gancedo, Francisco; García-Juárez, Eduardo 10 2018 Global regularity for 2D Muskat equations with finite slope. Zbl 1365.76304Constantin, Peter; Gancedo, Francisco; Shvydkoy, Roman; Vicol, Vlad 38 2017 A survey for the Muskat problem and a new estimate. Zbl 1384.35084Gancedo, Francisco 11 2017 Global regularity for 2D Boussinesq temperature patches with no diffusion. Zbl 1403.35236Gancedo, Francisco; García-Juárez, Eduardo 8 2017 On the Muskat problem: global in time results in 2D and 3D. Zbl 1369.35053Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Rodríguez-Piazza, Luis; Strain, Robert M. 35 2016 Splash singularities for the one-phase Muskat problem in stable regimes. Zbl 1350.35151Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco 18 2016 Absence of splash singularities for surface quasi-geostrophic sharp fronts and the Muskat problem. Zbl 1355.76065Gancedo, Francisco; Strain, Robert M. 37 2014 Structural stability for the splash singularities of the water waves problem. Zbl 1299.76022Castro, Angel; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier 5 2014 On the global existence for the Muskat problem. Zbl 1258.35002Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Strain, Robert M. 60 2013 Finite time singularities for the free boundary incompressible Euler equations. Zbl 1291.35199Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier 49 2013 Breakdown of smoothness for the Muskat problem. Zbl 1293.35234Castro, Ángel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco 42 2013 Porous media: The Muskat problem in three dimensions. Zbl 1273.35221Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco 19 2013 Generalized surface quasi-geostrophic equations with singular velocities. Zbl 1244.35108Chae, Dongho; Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Wu, Jiahong 74 2012 Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves. Zbl 1267.76033Castro, Ángel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; López-Fernández, María 68 2012 Splash singularity for water waves. Zbl 1256.76018Castro, Angel; Córdoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; Gómez-Serrano, Javier 16 2012 Finite time singularities for water waves with surface tension. Zbl 1328.76012Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier 11 2012 On a singular incompressible porous media equation. Zbl 1452.76233Friedlander, Susan; Gancedo, Francisco; Sun, Weiran; Vicol, Vlad 9 2012 A naive parametrization for the vortex-sheet problem. Zbl 1296.76022Castro, Angel; Córdoba, Diego; Gancedo, Francisco 3 2012 Interface evolution: the Hele-Shaw and Muskat problems. Zbl 1229.35204Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco 58 2011 Lack of uniqueness for weak solutions of the incompressible porous media equation. Zbl 1241.35156Cordoba, Diego; Faraco, Daniel; Gancedo, Francisco 49 2011 Turning waves and breakdown for incompressible flows. Zbl 1256.76019Castro, Angel; Córdoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; López-Fernández, María 15 2011 Absence of squirt singularities for the multi-phase Muskat problem. Zbl 1198.35176Córdoba, Diego; Gancedo, Francisco 19 2010 Interface evolution: water waves in 2-D. Zbl 1183.35276Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco 18 2010 Singularity formations for a surface wave model. Zbl 1223.35016Castro, Angel; Córdoba, Diego; Gancedo, Francisco 15 2010 A maximum principle for the Muskat problem for fluids with different densities. Zbl 1173.35637Córdoba, Diego; Gancedo, Francisco 26 2009 Incompressible flow in porous media with fractional diffusion. Zbl 1169.76058Castro, Ángel; Córdoba, Diego; Gancedo, Francisco; Orive, Rafael 24 2009 The Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces. Zbl 1203.76059Cordoba, Antonio; Cordoba, Diego; Gancedo, Francisco 9 2009 Contour dynamics for 2D active scalars. Zbl 1419.35159Córdoba, Diego; Gancedo, Francisco 1 2009 Existence for the \(\alpha \)-patch model and the QG sharp front in Sobolev spaces. Zbl 1148.35099Gancedo, Francisco 50 2008 A note on interface dynamics for convection in porous media. Zbl 1143.76574Córdoba, Diego; Gancedo, Francisco; Orive, Rafael 9 2008 Contour dynamics of incompressible 3-D fluids in a porous medium with different densities. Zbl 1120.76064Córdoba, Diego; Gancedo, Francisco 62 2007 Analytical behavior of two-dimensional incompressible flow in porous media. Zbl 1144.81332Córdoba, Diego; Gancedo, Francisco; Orive, Rafael 18 2007 all cited Publications top 5 cited Publications all top 5 Cited by 369 Authors 32 Cordoba, Diego 29 Gancedo, Francisco 21 Granero Belinchón, Rafael 20 Castro, Ángel 16 Alazard, Thomas 16 Gómez-Serrano, Javier 13 Fefferman, Charles Louis 13 Matioc, Bogdan-Vasile 12 Vicol, Vlad C. 10 Shkoller, Steve 9 Constantin, Peter 8 Székelyhidi, László jun. 7 Nguyen, Huy Quang 7 Xue, Liutang 6 Faraco, Daniel 6 Kukavica, Igor 5 Ambrose, David M. 5 Córdoba Barba, Antonio Juan 5 Friedlander, Susan Jean 5 García-Juárez, Eduardo 5 Ionescu, Alexandru D. 5 Kim, Seonghak 5 Rodrigo, José Luis 5 Scrobogna, Stefano 5 Wu, Jiahong 4 Burczak, Jan 4 Coutand, Daniel 4 De Lellis, Camillo 4 Escher, Joachim 4 Kiselev, Alexander A. 4 Lazar, Omar 4 Matioc, Anca-Voichita 4 Pusateri, Fabio 4 Saut, Jean-Claude 4 Strain, Robert M. 4 Wang, Yuexun 4 Yao, Yao 4 Zlatoš, Andrej 3 Bae, Hantaek 3 Di Iorio, Elena 3 Disconzi, Marcelo Mendes 3 Dong, Hongjie 3 Gebhard, Björn 3 Geldhauser, Carina 3 Hadzic, Mahir 3 Hmidi, Taoufik 3 Hunter, John K. 3 Isett, Philip 3 Jeong, In-Jee 3 Khor, Calvin 3 Kolumban, Jozsef J. 3 Li, Dong 3 Marcati, Pierangelo 3 Paicu, Marius 3 Pernas-Castaño, Tania 3 Romito, Marco 3 Shu, Jingyang 3 Spirito, Stefano 3 Tuffaha, Amjad M. 3 Wang, Yinxia 3 Wang, Yuzhu 3 Yamazaki, Kazuo 3 Yan, Baisheng 2 Bruell, Gabriele 2 Burq, Nicolas 2 Camassa, Roberto 2 Chae, Dongho 2 Chiodaroli, Elisabetta 2 Choi, Young-Pil 2 Dong, Boqing 2 Düll, Wolf-Patrick 2 Enciso, Alberto 2 Falqui, Gregorio 2 Ferreira, Lucas Catão de Freitas 2 Förster, Clemens 2 Garcia, Claudia I. 2 Grubic, Nastasia 2 Hassainia, Zineb 2 He, Yigang 2 Ifrim, Mihaela 2 Ignatova, Mihaela 2 Jia, Yan 2 Jolly, Michael S. 2 Kim, Inwon Christina 2 Klein, Christian 2 Kohr, Mirela 2 Kreml, Ondřej 2 Kumar, Anuj 2 Lannes, David 2 Lear, Daniel 2 Li, Linrui 2 Li, Yang 2 Lin, Fang Hua 2 Lindberg, Sauli 2 Liu, Shunlian 2 López-Fernández, María 2 Mailybaev, Alexei A. 2 Martinez, Vincent R. 2 Mengual, Francisco 2 Miao, Changxing ...and 269 more Authors all top 5 Cited in 91 Serials 30 Archive for Rational Mechanics and Analysis 22 Communications in Mathematical Physics 21 Advances in Mathematics 21 Journal of Differential Equations 18 SIAM Journal on Mathematical Analysis 15 Journal of Mathematical Fluid Mechanics 13 Nonlinearity 10 Annals of PDE 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Transactions of the American Mathematical Society 7 Communications on Pure and Applied Mathematics 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Physica D 7 Journal of Nonlinear Science 7 Discrete and Continuous Dynamical Systems 5 Journal of Mathematical Analysis and Applications 5 Inventiones Mathematicae 5 Proceedings of the National Academy of Sciences of the United States of America 5 Annals of Mathematics. Second Series 5 Nonlinear Analysis. Real World Applications 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Memoirs of the American Mathematical Society 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Bulletin of the American Mathematical Society. New Series 4 Calculus of Variations and Partial Differential Equations 4 Interfaces and Free Boundaries 4 Boundary Value Problems 3 Journal of Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Duke Mathematical Journal 3 Chinese Annals of Mathematics. Series B 3 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of Evolution Equations 3 Analysis & PDE 3 Water Waves 2 Journal of Fluid Mechanics 2 Applied Mathematics and Computation 2 Applied Mathematics and Optimization 2 Monatshefte für Mathematik 2 Revista Matemática Iberoamericana 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Partial Differential Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Communications on Pure and Applied Analysis 2 Science China. Mathematics 2 S\(\vec{\text{e}}\)MA Journal 2 Evolution Equations and Control Theory 2 Séminaire Laurent Schwartz. EDP et Applications 2 Philosophical Transactions A. Royal Society of London 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of Statistical Physics 1 Mathematics of Computation 1 American Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 Asymptotic Analysis 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Journal of Dynamics and Differential Equations 1 Potential Analysis 1 Topological Methods in Nonlinear Analysis 1 Physics of Fluids 1 Abstract and Applied Analysis 1 Discrete Dynamics in Nature and Society 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Nonlinear Science and Numerical Simulation 1 Annales Henri Poincaré 1 La Gaceta de la Real Sociedad Matemática Española 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Complex Analysis and Operator Theory 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Journal de l’École Polytechnique – Mathématiques 1 Journal of Elliptic and Parabolic Equations 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Transactions of the American Mathematical Society. Series B 1 AIMS Mathematics all top 5 Cited in 29 Fields 326 Partial differential equations (35-XX) 241 Fluid mechanics (76-XX) 34 Geophysics (86-XX) 13 Real functions (26-XX) 13 Numerical analysis (65-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 9 Classical thermodynamics, heat transfer (80-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Probability theory and stochastic processes (60-XX) 6 Mechanics of deformable solids (74-XX) 5 Biology and other natural sciences (92-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Integral equations (45-XX) 3 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year