Search Results - "Cao, Chuqi"
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1
The kinetic Fokker–Planck equation with general force
Published in Journal of evolution equations (01-06-2021)“…We consider the kinetic Fokker–Planck equation with a class of general force. We prove the existence and uniqueness of a positive normalized equilibrium (in…”
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Journal Article -
2
Petrogenesis of mafic rocks from the Xigaze ophiolite, Southern Tibet: Insights into forearc extension induced by Neotethyan rollback
Published in Lithos (01-08-2022)“…The Xigaze ophiolite in the central Yarlung Zangbo suture zone (southern Tibet) provides evidence of the tectonic processes that formed the Neotethyan Ocean…”
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3
Mineralogy and Geochemistry of “Laoshan Jade” from Shandong Province, China: Implications for Petrogenesis
Published in Crystals (Basel) (01-02-2022)“…“Laoshan Jade” is located in the Yangkou area of the Sulu UHP metamorphic belt. This is the first time a systematic research study is performed on its…”
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Journal Article -
4
Polysynthetic Twinning of Diopsides in the Niewang and Tatliksu Nephrite Deposits, Xinjiang, China
Published in Minerals (Basel) (01-12-2022)“…Diopside, an important component of the crustal and upper mantle, plays an important role in the formation of nephrite. Polysynthetic twinning in natural…”
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5
Morphology and FTIR Characteristics of the Alluvial Diamond from the Yangtze Craton, China
Published in Crystals (Basel) (01-04-2022)“…A total of 48 natural alluvial diamonds from the Yangtze Craton, China, also called Hunan diamonds, were studied using morphology and IR spectroscopy. These…”
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6
Cutoff Boltzmann equation with polynomial perturbation near Maxwellian
Published in Journal of functional analysis (01-11-2022)“…In this paper, we consider the cutoff Boltzmann equation near Maxwellian, we proved the global existence and uniqueness for the cutoff Boltzmann equation in…”
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Journal Article -
7
Hydrodynamic limit for the non-cutoff Boltzmann equation
Published in Annales de l'Institut Henri Poincaré. Analyse non linéaire (04-10-2024)“…This work deals with the non-cutoff Boltzmann equation for all types of potentials, in both the torus \mathbf{T}^{3} and in the whole space \mathbf{R}^{3} ,…”
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8
Holoscopic 3D Perception for Autonomous Vehicles
Published 01-01-2021“…Autonomous mobile platforms are going to be huge part of the future transportation and autonomous navigation is the critical part of autonomous platforms. An…”
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Dissertation -
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De Giorgi Argument for non-cutoff Boltzmann equation with soft potentials
Published 18-10-2022“…In this paper, we consider the global well-posedness to the non-cutoff Boltzmann equation with soft potential in the $L^\infty$ setting. We show that when the…”
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10
Cutoff Boltzmann equation with polynomial perturbation near Maxwellian
Published 20-07-2022“…In this paper, we consider the cutoff Boltzmann equation near Maxwellian, we proved the global existence and uniqueness for the cutoff Boltzmann equation in…”
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Journal Article -
11
Hydrodynamic limit for the non-cutoff Boltzmann equation
Published 13-04-2023“…This work deals with the non-cutoff Boltzmann equation for all type of potentials, in both the torus $\mathbf{T}^3$ and in the whole space $\mathbf{R}^3$,…”
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Journal Article -
12
The Kinetic Fokker-Planck Equation with General Force
Published 15-05-2019“…We consider the kinetic Fokker-Planck equation with a class of general force. We prove the existence and uniqueness of a positive normalized equilibrium (in…”
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Journal Article -
13
On Landau equation with harmonic potential: nonlinear stability of time-periodic Maxwell-Boltzmann distributions
Published 10-07-2024“…We provide the first and rigorous confirmations of the hypotheses by Ludwig Boltzmann in his seminal paper \cite{Boltzmann} within the context of the Landau…”
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Journal Article -
14
The kinetic Fokker-Planck equation with weak confinement force
Published 31-01-2018“…We consider the kinetic Fokker-Planck equation with weak confinement force. We proved some (polynomial and sub-exponential) rate of convergence to the…”
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Journal Article -
15
Time-velocity decay of solutions to the non-cutoff Boltzmann equation in the whole space
Published 05-02-2024“…Commun. Math. Anal. Appl., 3 (2024), pp. 61-120 In this paper, we consider the perturbed solutions with polynomial tail in large velocities for the non-cutoff…”
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Journal Article -
16
Large Time Asymptotic Behaviors of Two Types of Fast Diffusion Equations
Published 04-11-2020“…We consider two types of non linear fast diffusion equations in R^N:(1) External drift type equation with general external potential. It is a natural extension…”
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Journal Article -
17
The Vlasov-Maxwell-Boltzmann/Landau system with polynomial perturbation near Maxwellian
Published 24-12-2023“…In this paper, we study the Vlasov-Maxwell-Boltzmann system without angular cutoff and the Vlasov-Maxwell-Landau/Boltzmann system with polynomial perturbation…”
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Journal Article -
18
The global well-posedness and Newtonian limit for the relativistic Boltzmann equation in a periodic box
Published 31-01-2024“…In this paper, we study the Newtonian limit for relativistic Boltzmann equation in a periodic box $\mathbb{T}^3$. We first establish the global-in-time mild…”
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19
Propagation of moments and sharp convergence rate for inhomogeneous non-cutoff Boltzmann equation with soft potentials
Published 04-04-2022“…We prove the well-posedness for the non-cutoff Boltzmann equation with soft potentials when the initial datum is close to the {\it global Maxwellian} and has…”
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Journal Article -
20
The Vlasov-Poisson-Boltzmann/Landau system with polynomial perturbation near Maxwellian
Published 10-11-2021“…In this work, we consider the Vlasov-Poisson-Boltzmann system without angular cutoff and the Vlasov-Poisson-Landau system with Coulomb potential near a global…”
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Journal Article