May8,2022
kaiyun開云官方網(wǎng)站
四川成都
會(huì)議主題：
為加強(qiáng)學(xué)術(shù)交流，提高kaiyun開云官方網(wǎng)站偏微分方程團(tuán)隊(duì)的科研水平，kaiyun開云官方網(wǎng)站將于2022年5月8日以騰訊會(huì)議的方式舉辦“偏微分方程小型研討會(huì)”。本次學(xué)術(shù)會(huì)議將以學(xué)術(shù)報(bào)告的形式圍繞偏微分方程研究展開討論，旨在深入探討該領(lǐng)域的一些最新研究成果，同時(shí)促進(jìn)kaiyun開云官方網(wǎng)站微分方程團(tuán)隊(duì)與國(guó)內(nèi)同行專家的學(xué)術(shù)交流合作。
邀請(qǐng)專家（按姓氏拼音排序）
聯(lián)系人：龔桂瓊電話：15927280980 郵箱：[email protected]
彭英萍電話：18482202360 郵箱：[email protected]
王凡 電話：13880013875 郵箱：[email protected]
鐘華 電話：13648006537 郵箱：[email protected]
會(huì)議方式： 騰訊會(huì)議（在線會(huì)議）
會(huì)議ID：230-753-975
詳細(xì)信息如下：
會(huì)議主題：偏微分方程小型研討會(huì)
會(huì)議時(shí)間：2022/05/08 08:30-17:30 (GMT+08:00)中國(guó)標(biāo)準(zhǔn)時(shí)間-香港
點(diǎn)擊鏈接入會(huì)，或添加至?xí)h列表：
https://meeting.tencent.com/dm/f2O9q2pqsfw5
#騰訊會(huì)議：230-753-975
組織單位：
kaiyun開云官方網(wǎng)站
kaiyun開云官方網(wǎng)站數(shù)學(xué)系
數(shù)學(xué)中心
偏微分方程小型研討會(huì) 會(huì)議日程表
Oblique injection of incompressible ideal fluid from a slot into a free stream
杜力力教授
四川大學(xué)
Abstract:
In this talk, we will discuss a two-phase fluid free boundary problem in a slot-film cooling. We will give two well-posedness results on the existence and uniqueness of the incompressible inviscid two-phase fluid with a jump relation on free interface. The problem formulates the oblique injection of an incompressible ideal fluid from a slot into a free stream. From the mathematical point of view, this work is motivated by the pioneer work in1986 by A. Friedman, in which some well-posedness results are obtained in some special case.Furthermore, A. Friedman proposed an open problem on the existence and uniqueness of the injection flow problem for more general case. The main results in this talk solve the open problem and establish the well-posedness results on the physical problem. This is a joint work with Jianfeng Cheng.
Quartic dissipation of Landau equation
段仁軍教授
香港中文大學(xué)
Abstract：
For perturbation solutions to the Landau equation near Maxwellians, we introducea weighted energy functional whose dissipation rate is quartic and we use it for treating the large-velocity growth in the nonlinear estimates due to degeneration of the linearized collision operators for soft potentials. As an application, I will talk about the stability of contact waves for the Landau equation in the Coulomb case.
Local well-posedness for two-phase fluid motion in Oberbeck-Boussinesq approximation
郝成春教授
中國(guó)科學(xué)院數(shù)學(xué)與系統(tǒng)科學(xué)研究院
Abstract：
Low Mach number limit of Navier-Stokese quations with large temperature variations in bounded domains
琚強(qiáng)昌教授
北京應(yīng)用物理與計(jì)算數(shù)學(xué)研究所
Abstract：
The low Mach number limit of full compressible Navier-Stokes equations with large temperature variations is verified rigorously in a three-dimensional bounded domain.Weighted uniform estimates of the solutions are derived delicately in a time interval which is independent of the Mach number,in particular,for the high-order derivatives,when the initial data are well prepared only in the sense of L2-norm.The effects of large temperature variations and solid boundaries create some essential difficulties in showing the uniform estimates.This is a recent joint work with Prof. Ou, Yaobin from Renmin University.
Localization for general Helmholtz
李棟教授
南方科技大學(xué)
Abstract：
We will discuss a novel and general symbolic framework for the Helmholtz equivalence problem.
Lipschitz continuity of steady subsonic-sonic potential flows
王春朋教授
吉林大學(xué)
Abstract：
In this talk, I introduce the regularity of steady subsonic-sonic potential flows, which are governedby a quasilinear degenerate elliptic equation. By a Moser iteration, it is shown that a two-dimensional subsonic-sonic flow is locally Lipschitz continuous. As to the boundary regularity, it is proved that the flow is also Lipschitz continuous on a given smooth streamline.
Time-asymptotic stability of viscous shock and rarefaction waves to the compressible Navier-Stokes equations
王益教授
中國(guó)科學(xué)院數(shù)學(xué)與系統(tǒng)科學(xué)研究院
Abstract：
The talk is concerned with our recent developments on the time-asymptotic stability of the composite wave of viscous shock and rarefaction to the one-dimensional compressible isentropic Navier-Stokes equations and the planar viscous shock wave to the three-dimensional Navier-Stokes equations. The main points in our proofs are based on the suitable choosing the time-dependent shift functions and the weight functions for the relative entropy estimates and the delicate using the Poincare-type inequality (new in 3D case) to overcome the difficulties due to the compressibility of the viscous shock.
On some reaction-diffusion models with density-dependent diffusion
王治安教授
香港理工大學(xué)
Abstract：
In this talk, I will discuss several mathematical models with density-dependent motility describing numerous biological processes, like chemotaxis, bacterial pattern formation, predator-prey models, and introduce some theoretical and numerical results obtained for them.
