Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Mingying Zhong"'
Autor:
Mingying Zhong
Publikováno v:
Acta Mathematica Scientia. 43:205-236
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6fc2dc5a8298ef5bd01e952104342f8
https://doi.org/10.1007/s10473-023-0113-8
https://doi.org/10.1007/s10473-023-0113-8
Publikováno v:
Archive for Rational Mechanics and Analysis. 241:311-355
By identifying a norm capturing the effect of the forcing governed by the Poisson equation, we give a detailed spectrum analysis on the linearized Vlasov–Poisson–Boltzmann system around a global Maxwellian. It is shown that the electric field gov
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::487cb2ffdd947fc4e84356a8d568060b
https://doi.org/10.1007/s00205-021-01652-5
https://doi.org/10.1007/s00205-021-01652-5
Autor:
Mingying Zhong
In the present paper, we study the diffusion limit of the classical solution to the Vlasov-Poisson-Fokker-Planck (VPFP) system with initial data near a global Maxwellian. We prove the convergence and establish the optimal convergence rate of the glob
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2738645b1b466afe186a93ff129bf09e
Publikováno v:
Archive for Rational Mechanics and Analysis. 235:1011-1057
The pointwise space-time behaviors of the Green’s function and the global solution to the Vlasov-Poisson-Boltzmann (VPB) system in spatial three dimension are studied in this paper. It is shown that, due to the influence of electrostatic potential
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5c00550448c3abe2dfe2e112a245cc25
https://doi.org/10.1007/s00205-019-01438-w
https://doi.org/10.1007/s00205-019-01438-w
Publikováno v:
SIAM Journal on Mathematical Analysis. 51:1792-1823
We will present in this paper a linear theory on a flow under the effect of a self-induced electric field past an obstacle governed by the Vlasov--Poisson--Boltzmann equation. The bulk velocity at ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b60532cda5cef5ce4776466dae95647
https://doi.org/10.1137/18m1232875
https://doi.org/10.1137/18m1232875
Publikováno v:
Archive for Rational Mechanics and Analysis. 228:39-127
The main purpose of the present paper is to investigate the nonlinear stability of viscous shock waves and rarefaction wave for bipolar Vlasov-Poisson-Boltzmann (VPB) system. To this end, motivated by the micro-macro decomposition to the Boltzmann eq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64e32324b77d6647f04a23dfe0d882c1
https://doi.org/10.1007/s00205-017-1185-1
https://doi.org/10.1007/s00205-017-1185-1
Publikováno v:
Kinetic & Related Models. 10:1089-1125
It is interesting to analyze the mutual influence of relativistic effect and electrostatic potential force on the qualitative behaviors of charge particles simulated by the one-species relativistic Vlasov-Poisson-Landau (rVPL) system with the physica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::978e19628c0e9940683ee233ab28c4b0
https://doi.org/10.3934/krm.2017043
https://doi.org/10.3934/krm.2017043
Publikováno v:
Kinetic & Related Models. 14:211
In the present paper, we study the diffusion limit of the classical solution to the unipolar Vlasov-Poisson-Boltzmann (VPB) system with initial data near a global Maxwellian. We prove the convergence and establish the convergence rate of the global s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e28dd27e99ab80abe17d560ae7dcdb4
https://doi.org/10.3934/krm.2021003
https://doi.org/10.3934/krm.2021003
Autor:
Mingying Zhong
Publikováno v:
Analysis and Applications. 13:611-643
In this paper, we study a quantum Boltzmann equation with a harmonic oscillator for isotropic gases of bosons and fermions, respectively. This model comes from physics literatures (see, e.g., [M. Holland, J. Williams and J. Cooper, Bose–Einstein co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::347d83d8e10c88f16bf2fc9509c76293
https://doi.org/10.1142/s0219530514500535
https://doi.org/10.1142/s0219530514500535
Autor:
MingYing Zhong
Publikováno v:
Science China Mathematics. 57:807-822
In this paper, we consider the optimal time-convergence rates of the global solution to the Cauchy problem for the Boltzmann equation in ℝ3. We show that the global solution tends to the global Maxwellian at the optimal time-decay rate (1+t)−3/4,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b2b012debc2d933e1b798fe32dd41465
https://doi.org/10.1007/s11425-013-4621-1
https://doi.org/10.1007/s11425-013-4621-1