搜索结果: 16-30 共查到“力学 systems”相关记录59条 . 查询时间(0.208 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：多相多组分渗流力学模拟器研究进展
多相多组 分渗流力学 模拟器
2023/4/23
由于油气资源的成分复杂，油藏工程师在描述原油的性质时，常常需要使用不同的数学模型。除了经典的黑油模型之外，还有诸如热采模型、裂缝模型、多重介质模型等。一些提高采收率技术通常基于更一般的组分模型框架来进行数值模拟，例如聚合物驱油剂、表面活化剂驱油剂、碱驱油剂、微生物驱油剂、低盐度水驱等。此外，二氧化碳埋藏、地下水污染治理、地热资源开采等应用问题也可使用组分模型来模拟。这些重要的应用使得多相多组分模拟...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convex integration and non-uniqueness of weak solutions for viscous fluids
粘性流体弱解 凸积分 非唯一性
2023/4/23
In this talk, I will discuss the method of convex integration and its applications on non-uniqueness of weak solutions to the hyper-viscous incompressible Navier-Stokes equations as well as the hypo-v...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Remarks on the vanishing viscosity process of state-constraint Hamilton-Jacobi equations
状态约束 哈密尔顿-雅可比方程 黏度消失
2023/4/21
We investigate the convergence rate in the vanishing viscosity process of the solutions to the subquadratic state-constraint Hamilton-Jacobi equations. We give two different proofs of the fact that, f...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Pointwise interior Schauder estimates for Stokes systems in divergence form
发散形式 斯托克斯系统 逐点内部 肖德估计
2023/4/23
In this talk, we will first go over the history of Schauder estimates, where the developing of proofs will be emphasized. Second, we will establish pointwise interior Schauder estimates for Stokes sys...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Deformation rigidity of Fano manifolds
法诺歧管 变形刚度 光滑射影品种X
2023/4/17
A smooth projective variety X is called rigid if any deformation of X is isomorphic to itself. A first example is the projective space, but in general it is a subtle and difficult problem to prove the...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Energy Concentration and Weak Stability in Fluid Dynamics
流体动力学 能量集中 弱稳定性
2023/4/14
The weak stability is an important issue in fluid dynamics. We will discuss the mathematical understudying of concentration phenomena in the framework of weak solutions with either critical or subcrit...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Well/ill-posedness bifurcation for the Boltzmann equation
玻尔兹曼方程 好/非适定 分岔
2023/4/17
We study the well/ill-posedness of the Boltzmann equation with dispersive methods. We take the constant collision kernel case as the 1st example. We construct a family of special solutions, which are ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Maximal $L^1$-regularity and application to a free boundary problem of Navier-Stokes equations near half-space in critical space (I)
临界空间 近半空间 纳维-斯托克斯方程 最大$L^1$-正则性 自由边界问题
2023/4/17
In this talk, time-dependent free surface problem for the incompressible Navier-Stokes equations which describes the motion of viscous incompressible fluid nearly half-space are considered. We will di...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Boltzmann方程的适定性和流体动力学极限
Boltzmann方程 适定性 流体动力学 极限
2023/4/17
Boltzmann 方程是统计力学中的基本方程，被用来描述稀疏气体的运动，其解的整体适定性和大时间渐近行为是偏微分方程领域的重要问题。另一方面，Hilbert 于1912 年提出了Boltzmann 方程的Hilbert 展开，从形式上说明了Boltzmann 方程的一阶近似是可压缩Euler 方程。此后，从数学上严格证明Boltzmann 方程到可压Euler 方程的流体动力学极限一直是很多数学...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：不可压缩理想磁流体方程的自由边界问题
不可压缩 理想磁流体方程 自由边界问题
2023/4/17
针对不可压缩理想磁流体方程自由边界问题的适定性，对有界初始区域的情形做较详细的阐述，并对相关的背景、研究进展和存在的问题作简要的介绍。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Qualitative study of two types of kinetic equations
动力学方程 定性研究 弗拉索夫方程
2023/4/18
In recent years, the study of kinetic equations has attracted much attention because it involves many important scientific phenomena and fields of science, such as nuclear reactor diffusion phenomena,...
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：Energy estimates for the two-dimensional acoustical rarefaction waves
二维声稀波 能量估计 无旋
2023/4/18
We study the two-dimensional acoustical rarefaction waves under the irrotational assumptions. We provide a new energy estimates without loss of derivatives. We also give a detailed geometric descripti...
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...