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高性能纤维在空间碎片撞击、冲击防护等高应变率场景有广泛的应用需求。碳纳米管具有轻质、高强、高模、高导电、高导热等优异特性，被认为是新一代高性能纤维的理想组装基元之一。受限于纤维组装结构的问题，碳纳米管纤维的强度仍远低于其理想强度，具有巨大的提升空间。
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：Well-balanced positivity-preserving high-order discontinuous Galerkin methods for Euler equations with gravitation
引力 欧拉方程 高阶间断 Galerkin方法
2023/11/29
We develop high order discontinuous Galerkin (DG) methods with Lax-Friedrich fluxes for Euler equations under gravitational fields. Such problems may yield steady-state solutions and the density and p...
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：Geometric regularity criteria and inviscid limit of incompressible Navier--Stokes Equations under Navier boundary condition
Navier边界条件 不可压缩 Navier-Stokes方程 几何正则性准则 无粘极限
2023/11/29
We report our recent works on the analysis of 3D incompressible Navier--Stokes Equations subject to the Navier slip boundary condition, i.e., tangential components of the stress exerted by the normal ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the construction of solutions to some inviscid free boundary problems
无粘 自由边界 解构造
2023/11/15
We will present our recent results on the local well-posedness of free boundary problems for some inviscid fluids. In particular, for each problem the solution is constructed as the vanishing viscosit...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： On the construction of solutions to some inviscid free boundary problems
无粘 自由边界 问题解 构造
2023/12/11
We will present our recent results on the local well-posedness of free boundary problems for some inviscid fluids. In particular, for each problem the solution is constructed as the vanishing viscosit...
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 ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Linear reciprocal transformations of bihamiltonian integrable hierarchies
双哈密尔顿 可积层次 线性互易变换 流体力学
2023/11/13
For an integrable hierarchy which possesses a bihamiltonian structure with semisimple hydrodynamic limit, we prove that the linear reciprocal transformation with respect to any of its symmetry transfo...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Cartan-Helgason theorem for quaternionic symmetric pairs
四元数 对称对 Cartan-Helgason定理
2023/11/7
we present a joint work with Clemens Weiske and Genkai Zhang (Sweden). It shows a branching law for compact symmetric pairs K\subset G of quaternionic type. Precisely to say, K is a product of a simpl...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Prandtl Boundary Layer in An Infinitely Long Convergent Channel
无穷长 收敛通道 Prandtl边界层
2023/11/7
This talk is about the large Reynold number limits and asymptotic behaviors of solutions to the 2D steady Navier-Stokes equations in an infinitely long convergent channel. We will show that for a gene...
中国科学院北京纳米能源与系统研究所【Energy & Environmental Science】基于超材料结构的三维手性摩擦纳米发电机网络（图）
材料结构 三维手性摩擦 纳米发电机 网络
2024/3/27
当前气候问题逐渐成为世界面临的主要挑战之一，加快发展清洁能源对实现可持续发展具有重要意义，也是全球各国的共识。作为海洋中的主要可再生清洁能源储备之一，波浪能具有分布广泛、储量巨大的特点。开发利用波浪能是优化全球能源结构和实现碳中和的重要途径之一，然而，其在技术上也面临着极大的挑战。摩擦纳米发电机（triboelectric nanogenerator，TENG）为波浪能收集及其它海洋蓝色能源开发提...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the Finite-Time Splash for the free boundary incompressible Navier–Stokes equations (I)
自由边界 不可压缩 Navier-Stokes方程 有限时间飞溅
2023/5/18
In this talk, we consider the incompressible Navier-Stokes equations with free boundary, which has a finite-time splash singularity for a large class of specially prepared initial data. The approach i...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Isometric embedding and fluid mechanics
等距嵌入 流体力学 理论流体力学
2023/5/10
In this talk, I first discuss isometric embedding from differential geometry and its relation with fluid mechanic equations. Then I will present recent progress and my works on isometric embeddings of...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：高维可压缩Navier-Stokes方程三类平面波形在空间周期扰动下的渐近稳定性
高维可压缩 Navier-Stokes方程 三类平面波形 空间周期扰动 渐近稳定性
2023/5/6
疏散波(rarefaction wave)、激波(shock wave)和涡片波(vortex sheet)是可压缩流体中的三类基本波形，它们分别对应可压缩流体的疏散、压缩和剪切三类不同的物理现象。本次报告将研究对于可压缩Navier-Stokes方程，即考虑流体的粘性效应时，这三类波现象在小扰动下的稳定性。特别地，这里的扰动在空间无穷远处可以周期振荡，这类非局部扰动不仅带来数学上的新困难，也让我...
