位置：成果数据库 > 期刊 > 期刊详情页
Boussinesq方程组解的正则类
  • ISSN号：1001-9847
  • 期刊名称：《应用数学》
  • 时间：0
  • 分类：O175.29[理学—数学;理学—基础数学]
  • 作者机构：[1]首都师范大学数学科学学院,北京100037
  • 相关基金：国家自然科学基金资助项目（10431060）
作者： 李明杰[1]
关键词： BOUSSINESQ方程, 弱解, 正则性, Boussinesq equations, Weak solutions , Regularity
中文摘要：

本文考虑Boussinesq方程组弱解的正则类,所得结果没有给温度场加任何条件,表明温度场对Boussinesq方程组解的正则性没有坏的影响,而起重要作用的是流体速度场.得到了Boussinesq方程类似于Navier-Stokes方程Serrin类的结果.

英文摘要：

In this paper, we are mainly concerned with the regularity of the weak solutions to the three-dimensional incompressible Boussinesq equations. What we obtain is similar to the ＂ Serrin class＂ of the weak solutions of the three-dimensional incompressible NavierStokes equations. It is worthy to point out that there are no assumptions on the temperature, which shows that the temperature has no bad influence and the velocity field play more important role on the regularity of the weak solution of Boussinesq equations.

同期刊论文项目
Boltzman方程及其相关宏观模型
期刊论文 99 会议论文 3
同项目期刊论文
Nonlinear stability of rarefaction waves for the Boltzmann equation
A case study of global stability of strong rarefaction waves for 2×2 hyperbolic conservation laws wi
Existence of stationary solutions to the Vlasov-Poisson-Boltzmann system
Optimal (1) decay rates to linear diffusion waves for nonlinear evolution equations with elliptici
On the Strong Convergence to 3D Steady Vortex Sheets
Spherically Symmetric Isentropic Compressible Flows with Density-Dependent Viscosity Coefficients
and BV-type Stability of the Boltzmann Equation with External Forces
Convergence to diffusion waves for nonlinear evolution equations with ellipticity and damping, and w
Quasineutral limit of a time-dependent drift-diffusion-Poisson models for p-n junction semiconductor
Study on a cross diffusion parabolic system
Partial regularity of suitable weak solutions to incompressible magneto-hydrodynamic equations
Nonstationary Navier-Stokes flows in a two-dimensional exterior domain with rotational symmetries.
Algebraic time decay for the bipolar quantum hydrodynamic model
Global well posedness for the Gross- Pitaevskii equation with an angular momentum rotational term
Dissipation and dispersion approximation to hydrodynamical equations and asymptotic limit
On the Regularity Criteria for Weak Solutions to the Magnetohydrodynamic Equation
Remark on the regularity for weak solutions to the Magnetohydrodynamic equations
Remark On the Spatial Partial Regularity for the Navier-Stokes Equations
Moment Estimates for Weak Solutions to the Navier-Stokes Equations in Half-Space
On weighted norm estimates for solutions to nonstationary incompressible Navier-Stokes equations in
On two-dimensional Navier- Stokes flows with rotational symmetries
On Strong Convergence to 3-D Axisymmetric Vortex Sheets
Vanishing of vacuum and blow-up phenomena of the compressible Navier-Stokes equations
Behaviour of the Fokker-Planck- Boltzmann equation near a Maxwellian
Boussinesq方程解的部分正则性
Mathematical Results Related to A Two-Dimensional Magneto-hydrodynamic Equations
Global upper and lower bounds on solutions to drift-diffusion semiconductor equations (Chinese)
Convergence rate to stationary solutions for Boltzmann equation with external force
Weak and Strong Solutions for the Stokes Approximation of Non-homogeneous Incompressible Navier-Stok
Vanishing Viscous Limits for the 2D Lake Equations with Navier Boundary Conditions
Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation
Existence and stability of steady-state of one-dimensional quantum hydrodynamic system for semicondu
Global solutions to 1D compressible Navier-Stokes-Poisson equations with density-dependent viscosit
Convergence of the Vlasov-Poisson- Boltzmann system to the incompressible Euler equations
stability for the Vlasov-Poisson-Boltzmann system around vacuum
Asymptotics in nonlinear evolution system with dissipation and ellipticity on quadrant
Stationary solutions to Euler equations with spherical symmetry
Boltzmann equation with external force and Vlasov-Poisson-Boltzmann system in infinite vacuum
Cauchy problem for the Vlasov- Poisson-Boltzmann system
Wellposedness of Cauchy problem for the fourth order nonlinear Schr?dinger equations in multi-dimens
Quasi-neutral limit of the drift- diffusion model for semiconductors with general sign-changing dopi
Global solutions of the Boltzmann equation with external forces
Asymptotic stability of the Relativistic Maxwellian
Combined quasineutral and inviscid limit of the Vlasov-Poisson-Fokker- Planck system
Decay rates to the planar rarefaction waves for a model system of the radiating gas in n-dimensions
Decay properties of solutions to the Cauchy problem for the damped wave equation with absorption
Convergence rate for the compressible Navier-Stokes equations with external force
Global existence and asymptotics of solutions of the Cahn-Hilliard equation
Optimal convergence rates for the compressible Navier-Stokes equations with potential forces
Convergence rates of solutions toward boundary layer solutions for generalized Benjamin-Bona-Mahony-
The Cauchy Problem for 1D Compressible Flows with Density- Dependent Viscosity Coefficients
Navier-Stokes Approximations to 2D Vortex Sheets in Half Plane,
Studies on Schr?dinger-Poisson systems (Excerpt of Dissertation)
Asymptotics toward strong nonlinear rarefaction waves for systems of 2×2 viscous conservation laws
Wellposedness for the fourth order nonlinear Schr?dinger equations
The relaxation-time limit in the quantum hydrodynamic equations for semiconductors
Zero Debye length asymptotic of the quantum hydrodynamic model for semiconductors
Lp-decay rates to nonlinear diffusion waves for p-system with nonlinear damping
Global existence to Boltzmann equation with external force in infinite vacuum
Asymptotics of dissipative nonlinear evolution equations with ellipticity: different end states
Convergence to strong nonlinear diffusion waves for solutions to p-system with damping on quadrant
Decay rates of strong planar rarefaction waves to scalar conservation laws with degenerate viscosity
Vacuum problem for 1D compressible Navier-Stokes equations with gravity and general pressure law
Nonlinear stability of rarefaction waves for the compressible Navier-Stokes equations with large ini
Stationary solutions to the exterior problems for the Boltzmann equation, I. Existence
Decay rates toward stationary waves of solutions for damped wave equations
Global Existence for compressible Navier-Stokes-Poissonequations in three and higher dimensions
Long-time self-similar asymptotic of the macroscopic quantum models
Semiclassical and relaxation limits of bipolar quantum hydrodynamic model for semiconductors
Large time behavior and relaxation energy limit of the solutions to a multi-dimensional energy trans
Large-time behavior of solutions of quantum hydrodynamic model for semiconductors
Global asymptotics of solutions to the Cauchy problem for the damped wave equation with absorption
A new energy method for the Boltzmann equation
Existence and non-existence of time-global solutions to damped wave equation on half-line
Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system
Optimal decay estimates on the linearized Boltzmann equation with time dependent force and their ap
decay rates of planar viscous rarefaction wave for scalar conservation law with degenerate viscosity
Weak and Strong Solutions for the Incompressible Navier-Stokes Equations with Damping Term
Global classical solution to the initial value problem for the relativistic Landau equation
A half-space problem for the Boltzmann equation with specular reflection boundary condition
Existence of global smooth solution to the relativistic Euler equations
Global stability of strong rarefaction waves for the generalized Kdv-Burgers equation
Diffusive property of the Fokker-Planck-Boltzmann equation
DECAY RATES TOWARD STATIONARY WAVES OF SOLUTIONS FOR DAMPED WAVE EQUATIONS
Vlasov-Maxwell-F0kker-Planck方程组的极限问题
一类四阶抛物型方程的解的渐近行为
求解随机微分方程的两种方法的稳定性分析
具有退化粘性的非齐次双曲守恒律方程的Cauchy问题
ASYMPTOTIC DECAY TOWARD RAREFACTION WAVE FOR A HYPERBOLIC-ELLIPTIC COUPLED SYSTEM ON HALF SPACE
期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
  • 邮箱：yysx_hust@163.com
  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
  • 获奖情况:
  • 中国科学引文数据库来源期刊,中国学术期刊综合评价数据库来源期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4139