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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonlinear stability of travelling wave solution of the Navier-Stokes-Poisson system for ions with $\gamma$-law pressure
纳维-斯托克斯-泊松系统 行波解 $γ$定律压力离子 非线性稳定性
2023/4/17
We consider the existence, uniqueness and nonlinear stability of the travelling wave solution of the Navier-Stokes-Poisson system with density-dependent viscosity for ions. Firstly, we derive a system...
LOCAL FORMULAS FOR THE HYDRODYNAMIC PRESSURE AND APPLICATIONS
LOCAL FORMULAS HYDRODYNAMIC PRESSURE APPLICATIONS
2014/4/3
We provide local formulas for the pressure of incompressible uids. The pressure can be expressed in terms of its average and averages of squares of velocity increments in arbitrary small neighborhoods...
Local and nonlocal pressure Hessian effects in real and synthetic fluid turbulence
pressure Hessian effects real synthetic fluid turbulence
2011/7/7
The Lagrangian dynamics of the velocity gradient tensor A in isotropic and homogeneous turbulence depend on the joint action of the self-streching term and the pressure Hessian. Existing closures for ...
Glow discharge in low pressure plasma PVD: mathematical model and numerical simulations
Glow discharge low pressure plasma PVD mathematical model numerical simulations
2011/3/2
In this paper we analyze the problem of glow discharge in low pressure plasma in industrial plant, for chambers of different shapes and various working parameters, like pressure and electric potential...
Outflow boundary conditions for 3D simulations of non-periodic blood flow and pressure fields in deformable arteries
blood flow computer modeling boundary conditions coupled multidomain method
2011/3/2
The simulation of blood flow and pressure in arteries requires outflow boundary conditions that incorporate models of downstream domains.
Exponential self similar solutions technique for instability phenomenon arising in double phase flow through porous medium with capillary pressure
Immiscible fluid Instability Flows in porous media
2010/9/25
The theoretical studies involved development of the differential equations which describe the instability of water by an oil-saturated rock. The basic assumption underlying the present investigation i...
Equilibrium states of the pressure function for products of matrices
pressure function products of matrices
2010/12/7
Let {Mi}ℓ i=1 be a non-trivial family of d × d complex matrices, in the sense that for any n ∈ N, there exists i1 · · · in ∈ {1, . . . , ℓ}n such that Mi1 · · ·Min 6= 0. Let P: (0,∞) → R b...
The Buckley-Leverett Equation with Dynamic Capillary Pressure
undercompressive shock two phase flow porous medium conservation law
2010/11/29
The Buckley-Leverett equation for two phase flow in a porous medium is modified by including a dependence of capillary pressure on the rate of change of saturation.
Approximating entropy for a class of $\zz^2$ Markov Random Fields and pressure for a class of functions on $\zz^2$ shifts of finite type
multidimensional shifts of finite type Markov random fields
2010/12/7
For a class of Z2 Markov Random Fields (MRFs) μ, we show that the sequence of successive differences of entropies of induced MRFs on strips of height n converges exponentially fast (in n) to the entro...
The Pressure Of Functions Over $(G,\tau)$--Extensions
$(G,tau)$--extensions Topological pressure
2008/6/26
The Pressure Of Functions Over $(G,\tau)$--Extensions.
Epidemics and immigration in a local community with limited resources and external demographic pressure
Epidemic model immigration demographic balance
2010/9/15
The immigration dynamics of infectives is sometimes an imprescindable modelling feature to fully understand and explain the diffusion of important infections. The inclusion of the dynamics of individu...
ON THE OUTER PRESSURE PROBLEM OF A VISCOUS HEAT-CONDUCTIVE ONE-DIMENSIONAL REAL GAS
Out pressure problem real gas
2007/12/10
We consider the outer pressure problem of the viscous heat-conductive, one-dimensional real gas, and prove the existence of globally defined smooth (large) solutions.