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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 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：A constructive proof of finite time blowup of 3D incompressible Euler equations with smooth data
光滑数据 三维不可压缩 欧拉方程 有限时间爆破 构造性证明
2023/5/10
Whether the 3D incompressible Euler equations can develop a finite time singularity from smooth initial data is one of the most challenging problems in nonlinear PDEs. In this talk, we will present a ...
Doubly half-injective PRGs for incompressible white-box cryptography
White-box cryptography Incompressibility One-way permutations
2019/4/1
White-box cryptography was originally introduced in the setting of digital rights management with the goal of preventing a user from illegally re-distributing their software decryption program. In rec...
We present the first provably secure, practical approach to proving file replication (or other erasure coding) in distributed storage networks (DSNs). Storing multiple copies of a file FF is essential...
华南理工大学流体力学与传热课件chapter5 Incompressible flow in pipes and channels
华南理工大学 流体力学 传热 课件 chapter5 Incompressible flow pipes channels
2018/3/22
华南理工大学流体力学与传热课件chapter5 Incompressible flow in pipes and channels。
Non-Oscillatory Central Schemes for the Incompressible 2D Euler Equations
Hyperbolic conservation laws second-order accuracy central difference schemes non-oscillatory schemes Incompressible Euler equations
2015/10/8
We adopt a non-oscillatory central scheme, first presented in the context of Hyperbolic conservation laws in [nessyahu-tadmor] followed by [jiang-tadmor], to the framework of the incompressible Eule...
Averaging of incompressible ows on two-dimensional surfaces
two-dimensional surfaces incompressible
2015/9/29
We consider a process on a compact two-dimensional surface which consists
of the fast motion along the stream lines of an incompressible periodic vector eld
perturbed by white noise. It gives rise ...
Averaging of incompressible flows on two-dimensional surfaces
Averaging Markov Process Incompressible Flow Gluing Conditions Diffusion on a Graph
2015/9/25
We consider a process on a compact two-dimensional surface which consists of the fast motion along the stream lines of an incompressible periodic vector field perturbed by white noise. It gives rise t...
The Embedded Boundary Integral Method (EBI) for the Incompressible Navier-Stokes equations
Embedded Boundary Integral Method (EBI) Incompressible Navier Stokes equations
2015/7/15
We present a new method for the solution of the unsteady incompressible Navier-Stokes equations. Our goal is to achieve a robust and scalable methodology for two and three dimensional incompressible f...
EXIT TIMES OF DIFFUSIONS WITH INCOMPRESSIBLE DRIFTS
EXIT TIMES DIFFUSIONS INCOMPRESSIBLE DRIFTS
2015/7/14
Let Ω ⊂ Rn be a bounded domain and for x ∈ Ω let τ(x) be the expected exit time from Ω of a diffusing particle starting at x and advected by an incompressible flow u. We are in...
A p-multigrid spectral difference method for two-dimensional unsteady incompressible Navier–Stokes equations
Spectral difference method Artifi cial compressibility method Dual time stepping p-Multigrid
2015/7/3
This paper presents the development of a 2D high-order solver with spectral difference method for unsteady incompressible Navier–Stokes equations accelerated by a p-multigrid method. This solver is de...
An Artificial Compressibility Method for the Spectral Difference Solution of Unsteady Incompressible Navier-Stokes Equations on Multiple Grids
cial Compressibility Method erence Solution Unsteady Incompressible Navier-Stokes Equations Multiple Grids
2015/7/3
This paper presents the development of a 2D high-order solver with unstructured spectral difference method for unsteady incompressible Navier-Stokes equations.
Analysis and shape optimization in incompressible flows with unstructured grids
Adjoints Unstructured grids Incompressible fl ows
2015/7/3
The reduced gradient evaluations provide major computa tional savings for unstructured grids and its accuracy and use for canonical and industrial problems is a major contribution of this study. The d...
TWO-DIMENSIONAL IMPLICIT TIME DEPENDENT CALCULATIONS FOR INCOMPRESSIBLE FLOWS ON ADAPTIVE UNSTRUCTURED MESHES
TWO-DIMENSIONAL IMPLICIT DEPENDENT CALCULATIONS INCOMPRESSIBLE FLOWS ADAPTIVE UNSTRUCTURED MESHES
2015/7/2
An implicit muItigrid-driven algorithm for two-dimensional incompres ible laminar viscous flows is coupled with a mesh adaptation method to better capture the important features of the flow for time d...