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Analysis of moving incompressible fluid interfaces

Publications

Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium

Author(s): Francisco Gancedo; Rafael Granero-Belinchón; Stefano Scrobogna
Published in: Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, Issue 37 - 6, 2020, Page(s) 1299-1343, ISSN 0294-1449
Publisher: Elsevier BV
DOI: 10.48550/arxiv.1911.03331

Well-posedness for SQG sharp fronts with unbounded curvature

Author(s): Gancedo, Francisco; Nguyen, Huy Q.; Patel, Neel
Published in: Math. Models Methods Appl. Sci., 2022, ISSN 0218-2025
Publisher: World Scientific Publishing Co
DOI: 10.48550/arxiv.2105.10982

"Quantitative H\""older Estimates for Even Singular Integral Operators on Patches"

Author(s): Gancedo, Francisco; Garcia-Juarez, Eduardo
Published in: Journal of Functional Analysis, Issue 283 - 9 art. num 109635, 2022, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2022.109635

Global Regularity for Gravity Unstable Muskat Bubbles

Author(s): Gancedo, Francisco; Garcia-Juarez, Eduardo; Patel, Neel; Strain, Robert
Published in: Mem. Amer. Math. Soc, 2021, ISSN 0065-9266
Publisher: American Mathematical Society
DOI: 10.48550/arxiv.1902.02318

Global well-posedness for the 3D Muskat problem in the critical Sobolev space

Author(s): Gancedo, Francisco; Lazar, Omar
Published in: Archive for Rational Mechanics and Analysis, Issue 246 - 1, 2022, Page(s) 141-207, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-022-01808-x

Regularity Results for Viscous 3D Boussinesq Temperature Fronts

Author(s): Francisco Gancedo; Eduardo Garcia-Juarez; Eduardo Garcia-Juarez
Published in: Communications in Mathematical Physics, Issue 376, 2020, Page(s) 1705-1736, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-020-03767-4

Global regularity for 2D Muskat equations with finite slope

Author(s): P. Constantin, F. Gancedo, R. Shvydkoy and V. Vicol
Published in: Ann. Inst. H. Poincaré Anal. Non Linéaire, 2017, ISSN 0294-1449
Publisher: Elsevier BV

Splash singularities for the free boundary Navier-Stokes equations

Author(s): A. Castro, D. Córdoba, C. Fefferman, F. Gancedo and J. Gómez-Serrano
Published in: Annals of PDE, Issue 5: 12, 2019, ISSN 2331-8422
Publisher: Springer

Global regularity of 2D density patches for inhomogeneous Navier-Stokes

Author(s): Gancedo, Francisco; Garcia-Juarez, Eduardo
Published in: Arch. Ration. Mech. Anal.,, Issue 1, 2017, ISSN 0003-9527
Publisher: Springer Verlag

On The Muskat Problem With Viscosity Jump: Global In Time Results

Author(s): Gancedo, Francisco; Garcia-Juarez, Eduardo; Patel, Neel; Strain, Robert M.
Published in: Adv. Math., Issue 345, 2019, Page(s) 552-597, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2019.01.017

Global regularity for 2D Boussinesq temperature patches with no diffusion

Author(s): Gancedo, Francisco; Garcia-Juarez, Eduardo
Published in: Annals fo PDE, Issue 1, 2017, ISSN 2199-2576
Publisher: Springer

Uniqueness for SQG patch solutions

Author(s): Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco
Published in: Trans. Amer. Math. Soc. Ser. B, Issue 1, 2018, ISSN 2330-0000
Publisher: AMS

Global Regularity of 2D Navier-Stokes Free Boundary with Small Viscosity Contrast

Author(s): Gancedo, Francisco; Garcia-Juarez, Eduardo
Published in: Ann. Inst. H. Poincaré Anal. Non Linéaire, 2022, ISSN 0294-1449
Publisher: Elsevier BV
DOI: 10.48550/arxiv.2109.08764

On the local existence and blow-up for generalized SQG patches

Author(s): Gancedo, Francisco; Patel, Neel
Published in: Annals of PDE, Issue 7: 4, 2021, ISSN 2524-5317
Publisher: Springer Nature
DOI: 10.48550/arxiv.1811.00530

Global well-posedness for the one-phase Muskat problem

Author(s): Dong, Hongjie; Gancedo, Francisco; Nguyen, Huy Q.
Published in: Comm. Pure Appl. Math, 2021, ISSN 1097-0312
Publisher: S.R.S. Varadhan
DOI: 10.48550/arxiv.2103.02656

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