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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global large strong solutions to the 2D radially symmetric compressible Navier-Stokes equations on bounded domain
有界域 二维径向对称 可压缩Navier-Stokes方程 全局大强解
2023/12/11
In this talk, I will present our recent result the 2D radially symmetric compressible Navier-Stokes equations with density-dependent viscosity. Under the condition of beta>1, we prove the global exist...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Compressible fluid limit for the Landau equation
Landau方程 可压缩 流体极限
2023/11/29
We are concerned with the compressible Euler limit for smooth solutions to the Landau equation with Coulomb potentials in the whole space. Specifically, over any finite time interval where the full co...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Blowup of smooth solutions for compressible Navier-Stokes equations
可压缩 Navier-Stokes方程 光滑解 爆破
2023/11/15
In this talk，we discuss the finite time blow up phenomena of smooth solutions to the compressible Navier-Stokes system when the initial data contain vacuums. It is proved that any classical solutions ...
袁源副研究员：Blowup of the entropy-bounded classical solutions to the nonisentropic compressible Navier-Stokes equations
非等熵 可压缩 纳维-斯托克斯方程 熵界经典解 爆炸
2023/4/11
This talk concerns the instantaneous blowup of entropy-bounded classical solutions to the vacuum free boundary problem or the Cauchy problem of nonisentropic compressible Navier-Stokes equations.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global existence and decay of solutions to compressible Prandtl system with small analytic data
少量分析数据 可压缩 Prandtl系统解 全局存在 衰减
2023/4/18
In this talk, we shall prove the global existence and the large time decay estimate of solutions to compressible Prandtl system with small initial data, which is analytical in the tangential variable....
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Optimal decay rates on compressible Navier-Stokes equations with degenerate viscosity and vacuum
简并粘度 真空 可压缩 NS方程 最佳衰减率
2023/4/18
In this talk, we consider the large time behavior of the weak solution to the free boundary problem for one-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosity and va...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：From Quantum Particles to Compressible Inviscid Fluid
量子粒子 可压缩 无粘性流体
2023/4/18
We derive the classical compressible Euler equation as the limit of 3D quantum N-particle dynamics as N tends to infinity and Planck's constant tends to zero. We establish strong and quantitative conv...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global well-posedness of the 1d compressible Navier-Stokes system with rough data
粗略数据 一维可压缩 纳维-斯托克斯系统 全局适定性
2023/4/24
We study the global well-posedness problem for the 1d compressible Navier-Stokes systems (cNSE) in gas dynamics with rough initial data. First, Liu and Yu (Commun Pure Appl Math 75(2):223-348, 2022) e...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Global well-posedness of the 1d compressible Navier-Stokes system with rough data
粗略数据 一维可压缩 纳维-斯托克斯系统 全局适定性
2023/4/24
We study the global well-posedness problem for the 1d compressible Navier-Stokes systems (cNSE) in gas dynamics with rough initial data. First, Liu and Yu (Commun Pure Appl Math 75(2):223-348, 2022) e...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Resolvent problem for linearized compressible Navier-Stokes equations with free surface
自由曲面 线性可压缩 纳维-斯托克斯方程 解问题
2023/4/28
In this talk, we will discuss the resolvent problem for the linearized one of the free surface problem of compressible, viscous and heat-conducting fluid, which is a problem in an infinite strip domai...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Hidden structures behinds the compressible Navier-Stokes equations and its applications to the corresponding models
可压缩 纳维-斯托克斯方程 隐藏结构 相应模型应用
2023/5/6
In this talk, we will review the past developments on the solutions of the compressible Navier-Stokes equations and reveal the three hidden structures which linked the weak solution to the strong one....
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Diffusion limit of the compressible Euler-P1 approximation model arising from radiation hydrodynamics
辐射流体动力学 可压缩欧拉 近似模型 扩散极限
2023/5/8
We first show the nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising in radiation hydrodynamics as the Mach number tends to zero when the initial data is well-prep...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stability and instability of a generic non--conservative compressible two--fluid model
通用非保守 可压缩 双流体模型 稳定性 不稳定性
2023/5/8
We are concerned with stability and instability of the steady state (1,0, 1, 0) for a generic non–conservative compressible two–fluid model in R^3. Under the assumption that the initial fraction densi...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Linear stability of the Couette flow in the 3D isentropic compressible Navier-Stokes equations
三维等熵 可压缩 Navier-Stokes方程中 Couette流 线性稳定性
2023/5/10
Consider the linear stability of the three dimensional isentropic compressible Navier-Stokes equations on . We prove the enhanced dissipation phenomenon for the linearized isentropic compressible Navi...
Highly Stretchable and Compressible Cellulose Ionic Hydrogels for Flexible Strain Sensors
Cellulose Ionic Hydrogels Flexible Strain Sensors Highly Stretchable
2024/3/4
Stretchable and compressible hydrogels based on natural polymers have received immense considerations for electronics. The feasibility of using pure natural polymer-based hydrogels could be improved i...