期刊文献+
共找到5篇文章
< 1 >
每页显示 20 50 100
GRADIENT ESTIMATES AND LIOUVILLE THEOREMS FOR LINEAR AND NONLINEAR PARABOLIC EQUATIONS ON RIEMANNIAN MANIFOLDS 被引量:1
1
作者 朱晓宝 《Acta Mathematica Scientia》 SCIE CSCD 2016年第2期514-526,共13页
In this article, we will derive local elliptic type gradient estimates for positive solutions of linear parabolic equations (△-e/et)u(x,t)+q(x,t)u^p(x,t)=0 and nonlinear parabolic equations (△-e/et)u(x,... In this article, we will derive local elliptic type gradient estimates for positive solutions of linear parabolic equations (△-e/et)u(x,t)+q(x,t)u^p(x,t)=0 and nonlinear parabolic equations (△-e/et)u(x,t)+h(x,t)u^p(x,t)=0(p 〉 1) on Riemannian manifolds.As applications, we obtain some theorems of Liouville type for positive ancient solutions of such equations. Our results generalize that of Souplet-Zhang ([1], Bull. London Math. Soc. 38(2006), 1045-1053) and the author ([2], Nonlinear Anal. 74 (2011), 5141-5146). 展开更多
关键词 Gradient estimate linear parabolic equation nonlinear parabolic equation Liouville type theorem
下载PDF
THE BERNSTEIN ESTIMATES OF VISCOSITY SOLUTIONS OF LINEAR PARABOLIC EQUATIONS
2
作者 詹毅 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1995年第3期255-262,共8页
This paper is concerned with the Bernstein estimates of viscosity solutions of the Cauchy problems for linear parabolic equations. The techniques of viscosity solution method given by H.Ishii and P.L. Lions in [1] all... This paper is concerned with the Bernstein estimates of viscosity solutions of the Cauchy problems for linear parabolic equations. The techniques of viscosity solution method given by H.Ishii and P.L. Lions in [1] allow us to deduce the estimates without differentiating the equation,which is in a way completely different from the classical one. We mainly get the estimate of under the corresponding assumptions on the smoothness of solutions and the known functions in the equation. 展开更多
关键词 Bernstein estimates viscosity solution linear parabolic equations
原文传递
Linear spatial instability analysis in 3D boundary layers using plane-marching 3D-LPSE 被引量:2
3
作者 Jianxin LIU Shaolong ZHANG Song FU 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2016年第8期1013-1030,共18页
It is widely accepted that a robust and efficient method to compute the linear spatial amplified rate ought to be developed in three-dimensional (3D) boundary layers to predict the transition with the e^N method, es... It is widely accepted that a robust and efficient method to compute the linear spatial amplified rate ought to be developed in three-dimensional (3D) boundary layers to predict the transition with the e^N method, especially when the boundary layer varies significantly in the spanwise direction. The 3D-linear parabolized stability equation (3D- LPSE) approach, a 3D extension of the two-dimensional LPSE (2D-LPSE), is developed with a plane-marching procedure for investigating the instability of a 3D boundary layer with a significant spanwise variation. The method is suitable for a full Mach number region, and is validated by computing the unstable modes in 2D and 3D boundary layers, in both global and local instability problems. The predictions are in better agreement with the ones of the direct numerical simulation (DNS) rather than a 2D-eigenvalue problem (EVP) procedure. These results suggest that the plane-marching 3D-LPSE approach is a robust, efficient, and accurate choice for the local and global instability analysis in 2D and 3D boundary layers for all free-stream Mach numbers. 展开更多
关键词 three-dimensional linear parabolized stability equation (3D-LPSE) bi-global instability three-dimensional (3D) boundary layer Gortler fow crossflow vortex
下载PDF
A Priori Error Estimates of Finite Element Methods for Linear Parabolic Integro-Differential Optimal Control Problems
4
作者 Wanfang Shen Liang Ge +1 位作者 Danping Yang Wenbin Liu 《Advances in Applied Mathematics and Mechanics》 SCIE 2014年第5期552-569,共18页
In this paper,we study the mathematical formulation for an optimal control problem governed by a linear parabolic integro-differential equation and present the optimality conditions.We then set up its weak formulation... In this paper,we study the mathematical formulation for an optimal control problem governed by a linear parabolic integro-differential equation and present the optimality conditions.We then set up its weak formulation and the finite element approximation scheme.Based on these we derive the a priori error estimates for its finite element approximation both in H1 and L^(2)norms.Furthermore some numerical tests are presented to verify the theoretical results. 展开更多
关键词 Optimal control linear parabolic integro-differential equations optimality conditions finite element methods a priori error estimate.
原文传递
PARALLEL STABILIZATION
5
作者 J. L. LIONS(College de france,3,red’Ulm,75231 Paris Cedex 05,France) 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1999年第1期29-38,共10页
A new algorithm for the stabilization or (possibly turbulent, chaotic) distributed systems,governed by linear or non linear systems of equations is presented.The SPA (Stabilization Parallel Algorithm) is based on a sy... A new algorithm for the stabilization or (possibly turbulent, chaotic) distributed systems,governed by linear or non linear systems of equations is presented.The SPA (Stabilization Parallel Algorithm) is based on a systematic parallel decompositionof the problem (related to arbitrarily overlapping decomposition of domains) and on a penaltyargument.SPA is presented here for the case of linear parabolic equations, with distributed or boundarycontrol. It extends to practically all linear and non linear evolution equations, as it will bepresented in several other publications. 展开更多
关键词 SPA linear parabolic equation Distributed system
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部