Zobrazeno 1 - 10 of 83 pro vyhledávání: '"Chao-Jiang Xu"'
3
The Cauchy problem for the inhomogeneous non-cutoff Kac equation in critical Besov space
Autor: Hao-Guang Li, Chao-Jiang Xu, Jiang Xu, Hongmei Cao
Publikováno v: Journal of Differential Equations. 269:1117-1171
In this work, we investigate the Cauchy problem for the spatially inhomogeneous non-cutoff Kac equation. If the initial datum belongs to the spatially critical Besov space, we can prove the well-posedness of weak solution under a perturbation framewo
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c6347da797a9c9053e169ab8c633feb8
https://doi.org/10.1016/j.jde.2019.12.025
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5
The fast horizontal rotating fluids
Autor: Chao-Jiang Xu, Wei-Xi Li, Van-Sang Ngo
Publikováno v: Communications in Mathematical Sciences. 17:299-338
It is well known that, for fast rotating fluids with the axis of rotation being perpendicular to the boundary, the boundary layer is of Ekman-type, described by a linear ODE system. In this paper we consider fast rotating fluids, with the axis of rot
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3ce3c2f5bb34b6180955802d8bdb0adf
https://doi.org/10.4310/cms.2019.v17.n2.a1
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6
The Cauchy problem for the radially symmetric homogeneous Boltzmann equation with Shubin class initial datum and Gelfand–Shilov smoothing effect
Autor: Chao-Jiang Xu, Hao-Guang Li
Publikováno v: Journal of Differential Equations
Journal of Differential Equations, Elsevier, 2017, 263 (8), pp.5120-5150. ⟨10.1016/j.jde.2017.06.010⟩
International audience; In this paper, we study the Cauchy problem for the radially symmetric homogeneous non-cutoff Boltzmann equation with Maxwellian molecules, the initial datum belongs to Shubin space of the negative index which can be characteri
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc5a867ac150d444eb7a4fb9f929def2
https://doi.org/10.1016/j.jde.2017.06.010
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7
Vanishing viscosity limit of Navier-Stokes Equations in Gevrey class
Autor: Chao-Jiang Xu, Feng Cheng, Wei-Xi Li
Publikováno v: Mathematical Methods in the Applied Sciences. 40:5161-5176
In this paper we consider the inviscid limit for the periodic solutions to Navier-Stokes equation in the framework of Gevrey class. It is shown that the lifespan for the solutions to Navier-Stokes equation is independent of viscosity, and that the so
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e6c7b5661af8d822bb487018dea31971
https://doi.org/10.1002/mma.4378
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8
Analytic smoothing effect for the nonlinear Landau equation of Maxwellian molecules
Autor: Chao-Jiang Xu, Yoshinori Morimoto
We consider the Cauchy problem of the nonlinear Landau equation of Maxwellian molecules, under the perturbation frame work to global equilibrium. We show that if $H^r_x(L^2_v), r >3/2$ norm of the initial perturbation is small enough, then the Cauchy
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::647b2b44f1e7a0d847290a0c0074461c
http://arxiv.org/abs/1910.13600
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9
Well-posedness of Cauchy problem for Landau equation in critical Besov space
Autor: Hao-Guang Li, Chao-Jiang Xu, Jiang Xu, Hongmei Cao
Publikováno v: Kinetic and Related Models
Kinetic and Related Models, AIMS, 2019, 12 (4), ⟨10.3934/krm.2019032⟩
We study the Cauchy problem for the inhomogeneous non linear Landau equation with Maxwellian molecules. In perturbation framework, we establish the global existence of solution in spatially critical Besov spaces. Precisely, if the initial datum is a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::439394ff41b3123e08f7e38663b965e8
https://hal.archives-ouvertes.fr/hal-02064905
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10
Cauchy problem for the spatially homogeneous landau equation with shubin class initial datum and gelfand-shilov smoothing effect
Autor: Hao-Guang Li, Chao-Jiang Xu
Publikováno v: SIAM Journal on Mathematical Analysis
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2019, 51 (1), pp.532-564
International audience; In this work, we study the nonlinear spatially homogeneous Lan-dau equation with Maxwellian molecules, by using the spectral analysis, we show that the non linear Landau operators is almost linear, and we prove the existence o
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39f7c531b780b4960947c107cc5ea684
https://hal.archives-ouvertes.fr/hal-01576108/document
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