Zobrazeno 1 - 10 of 64 pro vyhledávání: '"Taoufik Hmidi"'
1
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On the Yudovich solutions for the ideal MHD equations
Autor: Taoufik, Hmidi
In this paper, we address the problem of weak solutions of Yudovich type for the inviscid MHD equations in two dimensions. The local-in-time existence and uniqueness of these solutions sound to be hard to achieve due to some terms involving Riesz tra
Externí odkaz: http://arxiv.org/abs/1401.6326
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3
Dynamics of one-fold symmetric patches for the aggregation equation and collapse to singular measure
Autor: Dong Li, Taoufik Hmidi
Publikováno v: Analysis & PDE
Analysis & PDE, 2019, 12 (8), pp.2003-2065. ⟨10.2140/apde.2019.12.2003⟩
Analysis & PDE, Mathematical Sciences Publishers, 2019, 12 (8), pp.2003-2065. ⟨10.2140/apde.2019.12.2003⟩
Anal. PDE 12, no. 8 (2019), 2003-2065
We are concerned with the dynamics of one fold symmetric patches for the two-dimensional aggregation equation associated to the Newtonian potential. We reformulate a suitable graph model and prove a local well-posedness result in sub-critical and cri
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81392e5ff2319882c0d7242f008755bf
https://doi.org/10.2140/apde.2019.12.2003
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4
Steady asymmetric vortex pairs for Euler equations
Autor: Taoufik Hmidi, Zineb Hassainia
Publikováno v: Discrete & Continuous Dynamical Systems-A
Discrete & Continuous Dynamical Systems-A, 2021, 41 (4), pp.1939-1969. ⟨10.3934/dcds.2020348⟩
In this paper, we study the existence of co-rotating and counter-rotating unequal-sized pairs of simply connected patches for Euler equations. In particular, we prove the existence of curves of steadily co-rotating and counter-rotating asymmetric vor
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a909d4242329b9db632fde79756ae58
https://hal.archives-ouvertes.fr/hal-03163100
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5
NON UNIFORM ROTATING VORTICES AND PERIODIC ORBITS FOR THE TWO-DIMENSIONAL EULER EQUATIONS
Autor: Claudia García, Taoufik Hmidi, Juan Soler
Publikováno v: Archive for Rational Mechanics and Analysis
Archive for Rational Mechanics and Analysis, 2020, 238 (2), pp.929-1085. ⟨10.1007/s00205-020-01561-z⟩
Archive for Rational Mechanics and Analysis, Springer Verlag, 2020, 238 (2), pp.929-1085. ⟨10.1007/s00205-020-01561-z⟩
This paper concerns the study of some special ordered structures in turbulent flows. In particular, a systematic and relevant methodology is proposed to construct non trivial and non radial rotating vortices with non necessarily uniform densities and
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63faf08e137a38dea3ed92b8cc38a330
https://hal.science/hal-01872557/file/lastversionseptem.pdf
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6
Ergodicity effects on transport-diffusion equations with localized damping
Autor: Taoufik Hmidi, Kaïs Ammari
Publikováno v: Dynamics of Partial Differential Equations
Dynamics of Partial Differential Equations, International Press, 2021, 18 (1), pp.1-10. ⟨10.4310/DPDE.2021.v18.n1.a1⟩
Dynamics of Partial Differential Equations, 2021, 18 (1), pp.1-10. ⟨10.4310/DPDE.2021.v18.n1.a1⟩
The main objective of this paper is to study the time decay of transport-diffusion equation with inhomogeneous localized damping in the multi-dimensional torus. The drift is governed by an autonomous Lipschitz vector field and the diffusion by the st
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a8f8904606c3e1acc0b8cd56eb908f4
http://arxiv.org/abs/2004.07712
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8
Small $\dot{B}^{-1}_{\infty , \infty}$ implies regularity
Autor: Taoufik Hmidi, Dong Li
Publikováno v: Dynamics of Partial Differential Equations. 14:1-4
We show that smallness of $\dot B^{-1}_{\infty,\infty}$ norm of solution to $d$-dimensional ($d\ge 3$) incompressible Navier-Stokes prevents blowups.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::487c17a76aeab686c632613d89469ec2
https://doi.org/10.4310/dpde.2017.v14.n1.a1
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9
An analytical and numerical study of steady patches in the disc
Autor: Zineb Hassainia, Taoufik Hmidi, Francisco de la Hoz, Joan Mateu
Publikováno v: Analysis & PDE
Analysis & PDE, Mathematical Sciences Publishers, 2016, 9 (7), pp.1609-1670. ⟨10.2140/apde.2016.9.1609⟩
Analysis & PDE, Mathematical Sciences Publishers, 2016, 9 (7), pp.1609-1670. 〈10.2140/apde.2016.9.1609〉
Anal. PDE 9, no. 7 (2016), 1609-1670
Analysis & PDE, 2016, 9 (7), pp.1609-1670. ⟨10.2140/apde.2016.9.1609⟩
In this paper, we prove the existence of $m$-fold rotating patches for the Euler equations in the disc, for both simply-connected and doubly-connected cases. Compared to the planar case, the rigid boundary introduces rich dynamics for the lowest symm
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::acf38255305febb84e571e1b0f914034
https://doi.org/10.2140/apde.2016.9.1609
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10
Imperfect bifurcation for the quasi-geostrophic shallow-water equations
Autor: David G. Dritschel, Coralie Renault, Taoufik Hmidi
Publikováno v: Archive for Rational Mechanics and Analysis
Archive for Rational Mechanics and Analysis, 2019, 231 (3), pp.1853-1915. ⟨10.1007/s00205-018-1312-7⟩
Archive for Rational Mechanics and Analysis, Springer Verlag, 2019, 231 (3), pp.1853-1915. ⟨10.1007/s00205-018-1312-7⟩
We study analytical and numerical aspects of the bifurcation diagram of simply-connected rotating vortex patch equilibria for the quasi-geostrophic shallow-water (QGSW) equations. The QGSW equations are a generalisation of the Euler equations and con
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42c5997c991196fb14f1c0b36ec10f58
https://hal.science/hal-01679400/document
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