Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Hammadi Abidi"'
Autor:
Hammadi Abidi, Ping Zhang
Publikováno v:
Chinese Annals of Mathematics, Series B. 40:643-688
In this paper, the authors first consider the global well-posedness of 3-D Boussinesq system, which has variable kinematic viscosity yet without thermal conductivity and buoyancy force, provided that the viscosity coefficient is sufficiently close to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e0156b805e18d3b96a0772aa510fdfd
https://doi.org/10.1007/s11401-019-0156-2
https://doi.org/10.1007/s11401-019-0156-2
Autor:
Hammadi Abidi, Guilong Gui
Publikováno v:
Communications in Mathematical Sciences. 17:1625-1652
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::594d81e78702d1da4f2bb9fb9b282d72
https://doi.org/10.4310/cms.2019.v17.n6.a6
https://doi.org/10.4310/cms.2019.v17.n6.a6
Autor:
Ping Zhang, Hammadi Abidi
Publikováno v:
Advances in Mathematics. 305:1202-1249
In this paper, we investigate the global well-posedness of 2-D Boussinesq system, which has variable kinematic viscosity and with thermal conductivity of | D | θ , with general initial data provided that the viscosity coefficient is sufficiently clo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e326c7b5bcef544a6ee0abd434ff8422
https://doi.org/10.1016/j.aim.2016.09.036
https://doi.org/10.1016/j.aim.2016.09.036
Autor:
Hammadi Abidi, Ping Zhang
Publikováno v:
Communications on Pure and Applied Mathematics. 70:1509-1561
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::009dec6c821fc1b5b63e1c1e4962d164
https://doi.org/10.1002/cpa.21645
https://doi.org/10.1002/cpa.21645
Autor:
Ping Zhang, Hammadi Abidi
Publikováno v:
Journal of Differential Equations. 259:3755-3802
Given solenoidal vector u 0 ∈ H ˙ − 2 δ ∩ H 1 ( R 2 ) , ρ 0 − 1 ∈ L 2 ( R 2 ) , and ρ 0 ∈ L ∞ ∩ W ˙ 1 , r ( R 2 ) with a positive lower bound for δ ∈ ( 0 , 1 2 ) and 2 r 2 1 − 2 δ , we prove that 2-D incompressible inhomoge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::532c887b8208866df1644bced2aa8110
https://doi.org/10.1016/j.jde.2015.05.002
https://doi.org/10.1016/j.jde.2015.05.002
Autor:
Hammadi Abidi, Ping Zhang
Publikováno v:
Calculus of Variations and Partial Differential Equations. 54:3251-3276
In this paper, we investigate the global regularity to 3-D inhomogeneous incompressible Navier–Stokes system with axisymmetric initial data which does not have swirl component for the initial velocity. We first prove that the \(L^\infty \) norm to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d8eb823d3673efd5d1f9ca582e9ea713
https://doi.org/10.1007/s00526-015-0902-6
https://doi.org/10.1007/s00526-015-0902-6
Autor:
Hammadi Abidi, Ping Zhang
Publikováno v:
Science China Mathematics. 58:1129-1150
Given initial data (ρ 0, u 0) satisfying 0 < m ⩽ ρ 0 ⩽ M, $$\rho _0 - 1 \in L^2 \cap \dot W^{1,r} (R^3 )$$ and $$u_0 \in \dot H^{ - 2\delta } \cap H^1 (\mathbb{R}^3 )$$ for δ ∈]1/4, 1/2[ and r ∈]6, 3/1 − 2δ[, we prove that: there exists
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ede21485f20b42ee4e3f4f07fa5200a
https://doi.org/10.1007/s11425-015-4983-7
https://doi.org/10.1007/s11425-015-4983-7
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 100:166-203
Without smallness assumption on the variation of the initial density function, we first prove the local well-posedness of 3-D incompressible inhomogeneous Navier–Stokes equations with initial data ( a 0 , u 0 ) in the critical Besov spaces B λ , 1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b0bc83ecba8fdada655100b14f3ea03
https://doi.org/10.1016/j.matpur.2012.10.015
https://doi.org/10.1016/j.matpur.2012.10.015
Publikováno v:
Archive for Rational Mechanics and Analysis. 204:189-230
We prove the local wellposedness of three-dimensional incompressible inhomogeneous Navier–Stokes equations with initial data in the critical Besov spaces, without assumptions of small density variation. Furthermore, if the initial velocity field is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f29c7e920be9000ffad81093939359f0
https://doi.org/10.1007/s00205-011-0473-4
https://doi.org/10.1007/s00205-011-0473-4
Publikováno v:
Discrete and Continuous Dynamical Systems-Series S
Discrete and Continuous Dynamical Systems-Series S, American Institute of Mathematical Sciences, 2011, 29 (3), pp.737-756. ⟨10.3934/dcds.2011.29.737⟩
Discrete and Continuous Dynamical Systems-Series S, 2011, 29 (3), pp.737-756. ⟨10.3934/dcds.2011.29.737⟩
Discrete and Continuous Dynamical Systems-Series S, American Institute of Mathematical Sciences, 2011, 29 (3), pp.737-756. 〈10.3934/dcds.2011.29.737〉
Discrete and Continuous Dynamical Systems-Series S, American Institute of Mathematical Sciences, 2011, 29 (3), pp.737-756. ⟨10.3934/dcds.2011.29.737⟩
Discrete and Continuous Dynamical Systems-Series S, 2011, 29 (3), pp.737-756. ⟨10.3934/dcds.2011.29.737⟩
Discrete and Continuous Dynamical Systems-Series S, American Institute of Mathematical Sciences, 2011, 29 (3), pp.737-756. 〈10.3934/dcds.2011.29.737〉
International audience; In this paper we prove a global well-posedness result for tridimensional Navier-Stokes-Boussinesq system with axisymmetric initial data. This system couples Navier-Stokes equations with a transport equation governing the densi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf74984b77860b13c3c2cc91e906272f
https://doi.org/10.3934/dcds.2011.29.737
https://doi.org/10.3934/dcds.2011.29.737