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members:dchamorro:welcome [2024/03/19 09:57] Diego Chamorro [Mes Articles de Recherche] |
members:dchamorro:welcome [2024/05/14 14:24] (current) Diego Chamorro [Mes Articles de Recherche] |
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===== Mes Articles de Recherche ===== | ===== Mes Articles de Recherche ===== | ||
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**35)** Liouville type theorems for stationary Navier-Stokes equations with Lebesgue spaces of variable exponent.\\ | **35)** Liouville type theorems for stationary Navier-Stokes equations with Lebesgue spaces of variable exponent.\\ | ||
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(2023) preprint (avec Oscar Jarrin) [[https://hal.science/hal-04059986v1/document|.pdf]] | (2023) preprint (avec Oscar Jarrin) [[https://hal.science/hal-04059986v1/document|.pdf]] | ||
- | **33)** A new approach for the regularity of weak solutions of the 3D Boussinesq system.\\ | + | **33)** Partial suitable solutions for the micropolar equations |
- | (2023) preprint (avec Claudiu Mîndrila) [[https://hal.science/hal-04035618v1/document|.pdf]] | + | |
- | + | ||
- | **32)** Partial suitable solutions for the micropolar equations | + | |
and regularity properties.\\ | and regularity properties.\\ | ||
(2023) preprint (avec David Llerena) [[https://hal.science/hal-03971925v1/document|.pdf]] | (2023) preprint (avec David Llerena) [[https://hal.science/hal-03971925v1/document|.pdf]] | ||
- | **31)** Some existence and regularity results for a non-local transport-diffusion equation with fractional derivatives in time and space.\\ | + | **32)** Some existence and regularity results for a non-local transport-diffusion equation with fractional derivatives in time and space.\\ |
(2022) preprint (avec Miguel Yangari) [[https://hal.archives-ouvertes.fr/hal-03618197/document|.pdf]] | (2022) preprint (avec Miguel Yangari) [[https://hal.archives-ouvertes.fr/hal-03618197/document|.pdf]] | ||
- | **30)** On an almost sharp Liouville type theorem for fractional | + | **31)** Non Linear Singular Drifts and Fractional Operators.\\ |
- | Navier-Stokes equations.\\ | + | |
- | (2022) preprint (avec Bruno Poggi) [[https://hal.archives-ouvertes.fr/hal-03867798/document|.pdf]] | + | |
- | + | ||
- | **29)** Non Linear Singular Drifts and Fractional Operators.\\ | + | |
(2022) preprint (avec Stéphane Menozzi) [[https://hal.archives-ouvertes.fr/hal-03695479/document|.pdf]] | (2022) preprint (avec Stéphane Menozzi) [[https://hal.archives-ouvertes.fr/hal-03695479/document|.pdf]] | ||
- | **28)** Analysis of a nonlocal and nonlinear system for cell-cell communication.\\ | + | **30)** Analysis of a nonlocal and nonlinear system for cell-cell communication.\\ |
(2022) preprint (avec Nicolas Meunier) [[https://hal.archives-ouvertes.fr/hal-03688565/document|.pdf]] | (2022) preprint (avec Nicolas Meunier) [[https://hal.archives-ouvertes.fr/hal-03688565/document|.pdf]] | ||
+ | |||
+ | **29)** A new approach for the regularity of weak solutions of the 3D Boussinesq system.\\ | ||
+ | //Nonlinearity, Volume 37, Number 6, (2024)// (avec Claudiu Mîndrila) [[https://hal.science/hal-04035618v1/document|.pdf]] | ||
+ | |||
+ | **28)** On an almost sharp Liouville type theorem for fractional Navier-Stokes equations.\\ //Publicacions Matemàtiques (2024)// (avec Bruno Poggi) [[https://hal.archives-ouvertes.fr/hal-03867798/document|.pdf]] | ||
**27)** Lebesgue spaces with variable exponent: some applications to the Navier-Stokes equations.\\ | **27)** Lebesgue spaces with variable exponent: some applications to the Navier-Stokes equations.\\ | ||
- | //Positivity, Vol. 28, Article number: 24 (2024) | + | //Positivity, Vol. 28, Article number: 24 (2024)// (avec Gaston Vergara-Hermosilla) [[https://hal.science/hal-04209551v1/document|.pdf]] |
- | https://doi.org/10.1007/s11117-024-01043-6 (2024)// (avec Gaston Vergara-Hermosilla) [[https://hal.science/hal-04209551v1/document|.pdf]] | + | |
**26)** Some remarks about the stationary Micropolar fluid equations: existence, regularity and uniqueness.\\ | **26)** Some remarks about the stationary Micropolar fluid equations: existence, regularity and uniqueness.\\ | ||
- | //Journal of Mathematical Analysis and Applications, DOI https://doi.org/10.1016/j.jmaa.2024.128201 (2024) // (avec David Llerena et Gaston Vergara-Hermosilla) [[https://hal.science/hal-04117552/document|.pdf]] | + | //Journal of Mathematical Analysis and Applications. Volume 536, Issue 2, (2024) // (avec David Llerena et Gaston Vergara-Hermosilla) [[https://hal.science/hal-04117552/document|.pdf]] |
**25)** Improved Sobolev inequalities: generalizations to classical Lorentz spaces \\ | **25)** Improved Sobolev inequalities: generalizations to classical Lorentz spaces \\ | ||
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**Master 2**:\\ | **Master 2**:\\ | ||
+ | - //<color #22b14c>Maxence Mansais</color>// (Evry, 2023)\\ | ||
+ | Sujet: //BMO^-1 et solutions mild pour l'équation de Navier-Stokes incompressible//\\ | ||
- //<color #22b14c>Cédric Chane Ki Chune</color>// (Evry, 2022)\\ | - //<color #22b14c>Cédric Chane Ki Chune</color>// (Evry, 2022)\\ | ||
Sujet: //Théorie de Régularité Partielle et espaces de Morrey//\\ | Sujet: //Théorie de Régularité Partielle et espaces de Morrey//\\ | ||
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**Master 1**:\\ | **Master 1**:\\ | ||
+ | - //<color #22b14c>Naraya Narvaez</color>// (Evry, 2024)\\ | ||
+ | Sujet: //Construction de solutions faibles pour l'équation SQG//\\ | ||
- //<color #22b14c>Josué Murillo</color>// (Evry, 2023)\\ | - //<color #22b14c>Josué Murillo</color>// (Evry, 2023)\\ | ||
Sujet: //Equations paraboliques et espaces de Morrey adaptés//\\ | Sujet: //Equations paraboliques et espaces de Morrey adaptés//\\ |