搜索结果: 1-15 共查到“数学 Well-posedness”相关记录30条 . 查询时间(0.125 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dean-Kawasaki equation with singular non-local interactions：well-posedness and large deviations
奇异非局部 相互作用 Dean-Kawasaki方程 适定性 大偏差
2023/11/13
The Dean-Kawasaki equation with non-local singular interactions and correlated noise will be introduced, which describes the evolution of the density function for a system of finitely many particles g...
LOCAL WELL-POSEDNESS OF NONLINEAR DISPERSIVE EQUATIONS ON MODULATION SPACES
Fourier multiplier weighted modulation space short-time Fourier transform nonlinear Schrodinger equation nonlinear wave equation nonlinear Klein-Gordon equation conservation of energy
2015/12/10
By using tools of time-frequency analysis, we obtain some improvedlocal well-posedness results for the NLS, NLW and NLKG equations with Cauchy data in modulation spaces Mp, 0,s
Free boundary problems of the Euler equation: local well-posedness and hydrodynamical instabilities
Free boundary problems of the Euler equation local well-posedness hydrodynamical instabilities
2015/4/3
Free boundary problems of the Euler equation: local well-posedness and hydrodynamical instabilities.
Global well-posedness and stability of electro-kinetic flows
Navier-Stokes-Nernst-Planck-Poisson equations local and global well-posedness exponential stability of steady states
2012/6/27
We consider a coupled system of Navier-Stokes and Nernst-Planck equations, describing the evolution of the velocity and the concentration fields of dissolved constituents in an electrolyte solution. M...
Well-posedness for the fifth-order KdV equation in the energy space
Fifth-order KdV equation fifth-order water-waves models initial value problem
2012/5/9
We prove that the initial value problem (IVP) associated to the fifth order KdV equation {equation} \label{05KdV} \partial_tu-\alpha\partial^5_x u=c_1\partial_xu\partial_x^2u+c_2\partial_x(u\partial_x...
Global well-posedness for the Kawahara equation with low regularity data
Kawahara equation global well-posedness Cauchy problem I-method
2012/3/1
We consider the global well-posedness for the Cauchy probelem of the Kawahara equation which is one of the fifth order KdV type equations. We first establish the local well-posedness in a more suitabl...
Well-posedness for a multi-dimensional viscous gas-liquid two-phase flow model
Compressible gas-liquid two-phase flow model global well-posedness local well-posedness Besov spaces
2011/9/16
Abstract: The Cauchy problem of a multi-dimensional ($d\geqslant 2$) compressible viscous gas-liquid two-phase flow model is concerned in this paper. We investigate the global existence and uniqueness...
On the well-posedness of weakly hyperbolic equations with time dependent coefficients
Hyperbolic equations Gevrey spaces ultradistributions Analysis of PDEs
2011/9/5
Abstract: In this paper we analyse the Gevrey well-posedness of the Cauchy problem for weakly hyperbolic equations of general form with time-dependent coefficients. The results involve the order of lo...
On the Local Well-posedness of a 3D Model for Incompressible Navier-Stokes Equations with Partial Viscosity
3D Model Incompressible Navier-Stokes Equations Partial Viscosity Analysis of PDEs
2011/8/31
Abstract: In this short note, we study the local well-posedness of a 3D model for incompressible Navier-Stokes equations with partial viscosity. This model was originally proposed by Hou-Lei in \cite{...
Well posedness of an isothermal diffusive model for binary mixtures of incompressible fluids
Diffuse interface model Cahn-Hilliard-Navier-Stokes equations
2011/1/20
e consider a model describing the behavior of a mixture of two incompressible fluids with the same density in isothermal conditions. The model consists of three balance equations: continuity equation,...
Well-posedness of a Class of Non-homogeneous Boundary Value Problems of the Korteweg-de Vries Equation on a Finite Domain
Class of Non-homogeneous Boundary Value Problems Korteweg-de Vries Equation Finite Domain
2011/1/18
In this paper, we study a class of initial and boundary value problems proposed by Colin and Ghidalia for the Korteweg-de Vries equation posed on a bounded domain (0, L).We show that the initial-value...
Local well-posedness for the Sixth-Order Boussinesq Equation
Local well-posedness Sixth-Order Boussinesq Equation
2011/2/25
This work studies the local well-posedness of the initial-value problem for the nonlinear sixth-order Boussinesq equation utt = uxx + uxxxx + uxxxxxx + (u2)xx, where = ±1. We prove local well-posed...
EOQ problem well-posedness: an alternative approach establishing sufficient conditions
Inventory Cost Optimization Buy Planning
2010/9/25
An existence-uniqueness theorem is proved about a minimum cost order for a class of inventory MAB models, leading to a sufficient conditions. They consist of doing a check of some improper integrals, ...
Further study on the Levitin-Polyak well-posedness for vector equilibrium problems
Vector equilibrium problems Levitin-Polyak well-posedness
2010/9/26
In this paper, we study Levitin-Polyak well-posedness for vector equilibrium problems with functional constraints. Two sufficient conditions of (generalized) Levitin-Polyak well-posedness are derived ...
We study the well-posedness of the Hele-Shaw-Cahn-Hilliard system modeling binary fluid flow in porous media with arbitrary viscosity contrast but matched density between the components. For initial d...