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
|
Finite time singularities for the free boundary incompressible Euler equations. Zbl 1291.35199
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier |
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2013
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Breakdown of smoothness for the Muskat problem. Zbl 1293.35234
Castro, Ángel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco |
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2013
|
Uniformly rotating analytic global patch solutions for active scalars. Zbl 1397.35020
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier |
|
2016
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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
|
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 smooth solutions for the inviscid SQG equation. Zbl 1444.35003
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier |
|
2020
|
Infinite energy solutions of the surface quasi-geostrophic equation. Zbl 1205.35219
Castro, A.; Córdoba, D. |
|
2010
|
Fully nonlinear long-wave models in the presence of vorticity. Zbl 1446.76077
Castro, Angel; Lannes, David |
|
2014
|
Global existence, singularities and ill-posedness for a nonlocal flux. Zbl 1186.35002
Castro, A.; Córdoba, D. |
|
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 |
|
2015
|
Incompressible flow in porous media with fractional diffusion. Zbl 1169.76058
Castro, Ángel; Córdoba, Diego; Gancedo, Francisco; Orive, Rafael |
|
2009
|
Singularity formations for a surface wave model. Zbl 1223.35016
Castro, Angel; Córdoba, Diego; Gancedo, Francisco |
|
2010
|
Splash singularities for the one-phase Muskat problem in stable regimes. Zbl 1350.35151
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco |
|
2016
|
Uniformly rotating smooth solutions for the incompressible 2D Euler equations. Zbl 1405.35147
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier |
|
2019
|
Splash singularity for water waves. Zbl 1256.76018
Castro, Angel; Córdoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; Gómez-Serrano, Javier |
|
2012
|
Degraded mixing solutions for the Muskat problem. Zbl 1412.35246
Castro, Á.; Faraco, D.; Mengual, F. |
|
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
|
Turning waves and breakdown for incompressible flows. Zbl 1256.76019
Castro, Angel; Córdoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; López-Fernández, María |
|
2011
|
Mixing solutions for the Muskat problem. Zbl 1491.35331
Castro, A.; Córdoba, D.; Faraco, D. |
|
2021
|
Global existence of quasi-stratified solutions for the confined IPM equation. Zbl 1444.76103
Castro, Ángel; Córdoba, Diego; Lear, Daniel |
|
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
|
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
|
Localized mixing zone for Muskat bubbles and turned interfaces. Zbl 1492.35218
Castro, Á.; Faraco, D.; Mengual, F. |
|
2022
|
Self-similar solutions for a transport equation with non-local flux. Zbl 1186.35154
Castro, Angel; Córdoba, Diego |
|
2009
|
Singularity formation for the fractional Euler-alignment system in 1D. Zbl 1456.35159
Arnaiz, Victor; Castro, Ángel |
|
2021
|
Structural stability for the splash singularities of the water waves problem. Zbl 1299.76022
Castro, Angel; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier |
|
2014
|
Traveling waves near Couette flow for the 2D Euler equation. Zbl 1516.35314
Castro, Ángel; Lear, Daniel |
|
2023
|
Semiclassical estimates for pseudodifferential operators and the Muskat problem in the unstable regime. Zbl 1462.35278
Arnaiz, Víctor; Castro, Ángel; Faraco, Daniel |
|
2021
|
A naive parametrization for the vortex-sheet problem. Zbl 1296.76022
Castro, Angel; Córdoba, Diego; Gancedo, Francisco |
|
2012
|
The lifespan of classical solutions for the inviscid surface quasi-geostrophic equation. Zbl 1477.35271
Castro, Ángel; Córdoba, Diego; Zheng, Fan |
|
2021
|
Traveling waves near Couette flow for the 2D Euler equation. Zbl 1516.35314
Castro, Ángel; Lear, Daniel |
|
2023
|
Localized mixing zone for Muskat bubbles and turned interfaces. Zbl 1492.35218
Castro, Á.; Faraco, D.; Mengual, F. |
|
2022
|
Mixing solutions for the Muskat problem. Zbl 1491.35331
Castro, A.; Córdoba, D.; Faraco, D. |
|
2021
|
Singularity formation for the fractional Euler-alignment system in 1D. Zbl 1456.35159
Arnaiz, Victor; Castro, Ángel |
|
2021
|
Semiclassical estimates for pseudodifferential operators and the Muskat problem in the unstable regime. Zbl 1462.35278
Arnaiz, Víctor; Castro, Ángel; Faraco, Daniel |
|
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
|
Uniformly rotating smooth solutions for the incompressible 2D Euler equations. Zbl 1405.35147
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier |
|
2019
|
Degraded mixing solutions for the Muskat problem. Zbl 1412.35246
Castro, Á.; Faraco, D.; Mengual, F. |
|
2019
|
Global existence of quasi-stratified solutions for the confined IPM equation. Zbl 1444.76103
Castro, Ángel; Córdoba, Diego; Lear, Daniel |
|
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
|
Uniformly rotating analytic global patch solutions for active scalars. Zbl 1397.35020
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier |
|
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
|
Splash singularities for the one-phase Muskat problem in stable regimes. Zbl 1350.35151
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco |
|
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 |
|
2015
|
Fully nonlinear long-wave models in the presence of vorticity. Zbl 1446.76077
Castro, Angel; Lannes, David |
|
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
|
Structural stability for the splash singularities of the water waves problem. Zbl 1299.76022
Castro, Angel; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier |
|
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 |
|
2013
|
Breakdown of smoothness for the Muskat problem. Zbl 1293.35234
Castro, Ángel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco |
|
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 |
|
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
|
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
|
Singularity formations for a surface wave model. Zbl 1223.35016
Castro, Angel; Córdoba, Diego; Gancedo, Francisco |
|
2010
|
Incompressible flow in porous media with fractional diffusion. Zbl 1169.76058
Castro, Ángel; Córdoba, Diego; Gancedo, Francisco; Orive, Rafael |
|
2009
|
Self-similar solutions for a transport equation with non-local flux. Zbl 1186.35154
Castro, Angel; Córdoba, Diego |
|
2009
|
Global existence, singularities and ill-posedness for a nonlocal flux. Zbl 1186.35002
Castro, A.; Córdoba, D. |
|
2008
|