位置：成果数据库 > 期刊 > 期刊详情页
关于可压液晶方程组的能量有界性
  • ISSN号：1000-8314
  • 期刊名称：《数学年刊：A辑》
  • 时间：0
  • 分类：O175.29[理学—数学;理学—基础数学]
  • 作者机构：[1]复旦大学数学科学学院,上海200433, [2]中国科学院数学与系统科学研究院,北京100190
  • 相关基金：国家自然科学基金（No.10631020 No.11071043）资助的项目
作者： 马文雅[1], 刘宪高[2]
关键词： 液晶, 有界能量弱解, 嵌入定理, Liquid crystal, Bounded energy weak solution, Embedding theorem
中文摘要：

考察可压液晶方程组有关能量的基本性质.证明了只要初始能量有界,此系统的能量就是一个与时间无关的有界量.

英文摘要：

This paper concerns the general property of the energy function for compressible liquid crystals system.It is shown that the energy is bounded independent of time when the initial energy is bounded.

同期刊论文项目
材料科学中偏微分方程相关问题的研究
期刊论文 11
非线性椭圆和非线性抛物型方程
期刊论文 82
同项目期刊论文
Extension of Reilly formula with applications to eigenvalue estimates for drifting Laplacians
GRADIENT ESTIMATES FOR POSITIVE SMOOTH f-HARMONIC FUNCTIONS
Symmetry results for classical solutions of Monge-Ampere systems on bounded planar domains
On the conditions to control curvature tensors of Ricci flow
Optimal $L_p$ Riemannian Gagliardo-Nirenberg inequalities,
INEQUALITIES OF EIGENVALUES FOR BI-KOHN LAPLACIAN ON HEISENBERG GROUP
Inhomogeneous boundary value problem for Hartree-type equation
On energy stability for the coupled nonlinear wave and Schrodinger systems
Chern-Simons invariants and isometric immersions of warped products
Stability for the time-dependent Hartree equation with positive energy
REMARKS ON COMPLETE NON-COMPACT GRADIENT RICCI EXPANDING SOLITONS
New Monotonicity Formulae for Semi-linear Elliptic and Parabolic Systems
Liouville type theorem and uniform bound for the Lichnerowicz equation and the Ginzburg–Landau equat
Finite Morse index steady states of van der Waals force driven thin film equations
Inhomogeneous Problem for the Ginzburg-Landau Equation on Two Dimensional Compact Manifolds
Classification of Positive Solitary Solutions of the Nonlinear Choquard Equation
Q-curvature flow with indefinite nonlinearity
Analytic smoothness effect of solutions for spatially homogeneous Landau equation
Curvature flow to the Nirenberg problem
Symmetry results for decay solutions of elliptic systems in the whole space
UNIVERSAL BOUNDS FOR EIGENVALUES OF LAPLACIAN OPERATOR OF ANY ORDER
A squeeze flow problem with a Navier slip condition
Existence of Global Smooth solutions to Dirichlet problem for Degenerate Elliptic Monge-Ampere equat
关于可压液晶组能量有界性
The Gevrey hypoellipticity for a class of kinetic equations
Regularity for positive weak solutions to semi-linear elliptic equations
Uniqueness for the solution of semi-linear elliptic Neumann problems in R-3
Properties of positive solutions to an elliptic equation with negative exponent
CONVERGENCE TO EQUILIBRIUM FOR PARABOLIC-HYPERBOLIC TIME-DEPENDENT GINZBURG-LANDAU-MAXWELL EQUATIONS
Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrodinger system
the local and global existence of the solutions of hyperbolic-parabolic system modeling biological p
ASYMPTOTIC BEHAVIOR OF A NONISOTHERMAL GINZBURG-LANDAU MODEL
Gradient estimate for the degenerate parabolic equation u(t)=Delta F(u)+H(u) on manifolds
Regularity of the p-harmonic maps with potential
Uniqueness of ground states of some coupled nonlinear Schrodinger systems and their application
UNIQUENESS OF POSITIVE BOUND STATES TO SCHRODINGER SYSTEMS WITH CRITICAL EXPONENTS
The Dirichlet problem of the quantum drift-diffusion model
Radial symmetry and monotonicity for an integral equation
UNIQUENESS FOR THE BREZIS-NIRENBERG PROBLEM ON COMPACT EINSTEIN MANIFOLDS
Long-time existence of mean curvature flow with external force fields
PROPAGATION OF GEVREY REGULARITY FOR SOLUTIONS OF LANDAU EQUATIONS
Global existence and asymptotic behavior for a semiconductor drift-diffusion-poisson model
液晶系统流问题的存在性
Gradient estimates for a nonlinear parabolic equation on complete non-compact Riemannian manifolds
CONVEX EIGENFUNCTION OF A DRIFTING LAPLACIAN OPERATOR AND THE FUNDAMENTAL GAP
Nonsingular Ricci flow on a noncompact manifold in dimension three
Existence, semiclassical limit and long-time behavior of weak solution to quantum drift-diffusion mo
Non-local heat flows and gradient estimates on closed manifolds
THE LANDAU-LIFSHITZ- MAXWELL EQUATION IN DIMENSION THREE
Partial regularity of weak solutions for Landau-Lifshitz system with potential
The regularity of a class of degenerate elliptic Monge-Ampère equations
Radial symmetry and uniqueness for positive solutions of a Schrodinger type system
GEVREY REGULARITY FOR SOLUTION OF THE SPATIALLY HOMOGENEOUS LANDAU EQUATION
The existence and regularity of multiple solutions for a class of infinitely degenerate elliptic equ
SEMILINEAR ELLIPTIC EQUATIONS ON FRACTAL SETS
On energy stability for the coupled nonlinear Schrodinger system
Spacelike hypersurfaces of prescribed Gauss-Kronecker curvature in exterior domains
ON GLOBAL ROUGH SOLUTIONS TO A NON-LINEAR SCHRODINGER SYSTEM
Gevrey hypoellipticity for linear and non-linear Fokker-Planck equations
Continuity estimates for the Monge-Ampere equation
Global attractor for the 1-D thin film equation
Convergence to equilibrium for a parabolic-hyperbolic phase-field system with dynamical boundary con
The existence and long-time behavior of weak solution to bipolar quantum drift-diffusion model
Asymptotic behavior of positive solutions of some quasilinear elliptic problems
Eigenvalues and lambda constants on Riemannian submersions
Curve shortening in a Riemannian manifold
Convergence to equilibrium for a parabolic-hyperbolic phase-field system with neumann boundary condi
Evolution of hypersurfaces by the mean curvature minus an external force field
Blow up of solutions to the nonlinear Schrodinger equations on manifolds
Monotone solutions to a class of elliptic and diffusion equations
Blow-up criterion for 2-D boussinesq equations in bounded domain
On existence of solutions for some hyperbolic-parabolic-type chemotaxis systems
一类Monge-Ampère方程的特征值问题
可压液晶流之解的渐近行为分析
Landau-Lifshitz方程派生的球面锥对称族及其演化
可压缩液晶系统强解的破裂准则
Globally weak solutions to the Flow of Crystals System
Strong solutions to the compressible liquid crystal system
Existence in non-smooth domain for Compressible Liquid Crystals
Global weak solutions to a general liquid crystals system
The existence and blow-up criterion of liquid crystals system in critical Besov space
Incompressible limit of compressible liquid crystals system
期刊信息
  • 《数学年刊：A辑》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:复旦大学
  • 主编：李大潜
  • 地址：上海市长乐路746号
  • 邮编：200040
  • 邮箱：edcam@fudan.edu.cn
  • 电话：021-65642338
  • 国际标准刊号：ISSN：1000-8314
  • 国内统一刊号：ISSN：31-1328/O1
  • 邮发代号:4-298
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,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:4264