检索结果-南通市图书馆

Global Well-posedness of the Stochastic Generalized kuramoto-sivashinsky equation with Multiplicative Noise

在线全文

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2018年第3期34卷 566-584页

作者： Wei WU Shang-bin CUI Jin-qiao DUAN Science and Information College Qingdao Agricultural University Qingdao 266109 China Department of Mathematics Sun Yat-Sen University Guangzhou 510275 China Department of Applied Mathematics Illinois Institute of Technology Chicago IL 60616 USA Center for Mathematical Sciences Huazhong University of Science and Technology Wuhan 430074 China

Global well-posedness of the initial-boundary value problem for the stochastic generalized kuramotosivashinsky equation in a bounded domain D with a multiplicative noise is studied. It is shown that under suitable sufficient conditions, for any initial data u0 ∈L2（D×Ω）, this problem has a unique global solution u in the space L2（Ω, C（[0, T ], L2（D））） for any T 〉 0, and the solution map u0 →u is Lipschitz continuous.

关键词： kuramoto-sivashinsky equation stochastic partial differential equations multiplicative noise well-posedness

Finite Difference Method for equation （2＋1）-kuramoto-sivashinsky equation

在线全文

学校读者我要写书评

暂无评论

Journal of Partial Differential equations 2018年第3期31卷 193-213页

作者： BEZIA Abdelhamid MABROUK Anouar Ben Algebra and Number Theory Laboratory Faculty of Mathematics University of Sciences and Technology Houari Boumediene BP 32 EL-Alia 16111 Bab Ezzouar Algiers Algeria. Dpartement de Mathématiques Institut Supérieur de Mathématiques Appliqées et Informatique de Kairouan Avenue Assad Ibn Al-Fourat Kairouan 3100 Tunisia. Laboratory of Algebra Number Theory and Nonlinear Analysis. Department of Mathematics Faculty of Sciences University of Monastir 5000 Monastir Tunisia. Department of Mathematics College of Sciences Tabuk University Saudi Arabia Kingdom.

This paper investigates a solution technique for solving a two-dimensional kuramoto-sivashinsky equation discretized using a finite difference method. It consists of an order reduction method into a coupled system of second-order equations, and to formulate the fully discretized, implicit time-marched system as a Lyapunov- Sylvester matrix equation. Convergence and stability is examined using Lyapunov criterion and manipulating generalized Lyapunov-Sylvester operators. Some numerical implementations are provided at the end to validate the theoretical results.

关键词： kuramoto-sivashinsky equation Finite difference method Lyapunov-Sylvester operators

Application of Exp-function Method to KdV-Burgers-kuramoto equation and kuramoto-sivashinsky equation

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Quarterly Journal of Mathematics 2012年第4期27卷 562-571页

作者：陈博奎刘伊可汪秉宏 Department of Modern Physics University of Science and Technology of China School for the Gifted Young University of Science and Technology of China The Research Center for Complex System Science University of Shanghai for Science and Technology and Shanghai Academy of System Science

This paper focuses on the application of Exp-function method to obtain generalized solutions of the KdV-Burgers-kuramoto equation and the kuramoto-sivashinsky *** is demonstrated that the Exp-function method provides ... 详细信息

关键词： Exp-function method nonlinear evolution equation KdV-Burgers-kuramoto equation kuramoto-sivashinsky equation

Fully Discrete Nonlinear Galerkin Methods for kuramoto-sivashinsky equation and Their Error Estimates

在线全文

学校读者我要写书评

暂无评论

Advances in Manufacturing 1997年第1期 20-27页

作者：杨忠华叶瑞松

In this paper,the uniform error estimates with respect to t∈[0, ∞ ) of the nonlinear Galerkin method are given for the long time integration of the kuramoto-sivashinsky equation. The nonlinear Galerkin method is use... 详细信息

关键词： kuramoto-sivashinsky equation fully discrete nonlinear Galerkin method uniform error estimates

ON THE CAUCHY PROBLEM OF THEkuramoto-sivashinsky equation WITH SINGULAR INITIAL DATA

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 1998年第1期18卷 25-34页

作者：赵会江柳再华陈世平 Young Scientist Laboratory of Mathematical Physics Wuhan Institute of Physics and Mathematics Academia Sinica Wuhan 430071 China Tongji University of Medicine Wuhan 430040 China Zhuzhou Institute of Techonology Zhuzhou 412008 China

In this paper, it is considered that the global existence, uniqueness and regularity results for the Cauchy problem of the well-known kuramoto-sivashinsky equation [GRAPHICS] only under the condition u(0)(x) is an element of L-2(R-N, R-n). Where u(t, x) = (u(1)(t, x), ..., u(n)(t, x))(T) is the unknown vector-valued function. Results show that for N < 6,.u(0)(x) is an element of L-2(R-N, R-n), the above Cauchy problem admits a unique global solution u(t, x) which belongs to C-infinity,C-infinity(R-N x (0, infinity)).

关键词： kuramoto-sivashinsky equation singular initial data Sobolev imbedding theorem

ＩＮＳＴＡＢＩＬＩＴＹＯＦＴＲＡＶＥＬＩＮＧＷＡＶＥＳＯＦＴＨＥＫＵＲＡＭＯＴＯ－ＳＩＶＡＳＨＩＮＳＫＹＥＱＵＡＴＩＯＮ

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of Mathematics,Series B 2002年第2期23卷 267-276页

作者： W.STRAUSS WANG GUANXIANG Department of Mathematics and LCDS BrownUniversitySchool Providence RI 02912USA.of Mathematical SciencesPeking UniversityBeijing

Consider any traveling wave solution of the kuramoto-sivashinsky equation that is asymp-totic to a constant as x→+∞ . The authors prove that it is nonlinearly unstable under Hl perturbations. The proof is based on a... 详细信息

关键词： Traveling wave kuramoto-sivashinsky equation Instability

On a Strongly Damped Wave equation for the Flame Front

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of Mathematics,Series B 2010年第6期31卷 819-840页

作者： Claude-Michel BRAUNER Luca LORENZI Gregory I. sivashinsky Chuanju XU School of Mathematical Sciences Xiamen University 361005 Xiamen Fujian China Dipartimento di Matematica Università degli Studi di Parma Viale Parco Area delle Scienze 53/A 43124 Parma Italy School of Mathematical Sciences Tel Aviv University 69978 Tel Aviv Israel

In two-dimensional free-interface problems, the front dynamics can be modeled by single parabolic equations such as the kuramoto-sivashinsky equation (K-S). However, away from the stability threshold, the structure of the front equation may be more involved. In this paper, a generalized K-S equation, a nonlinear wave equation with a strong damping operator, is considered. As a consequence, the associated semigroup turns out to be analytic. Asymptotic convergence to K-S is shown, while numerical results illustrate the dynamics.

关键词： Front dynamics Wave equation kuramoto-sivashinsky equation Stability Analytic semigroups Spectral method

Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern Formation

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of Mathematics,Series B 2013年第1期34卷 65-88页

作者： Claude-Michel BRAUNER Lina HU Luca LORENZI School of Mathematical Sciences Xiamen University Institut de Mathématiques de Bordeaux Université de Bordeaux Dipartimento di Matematica e Informatica Università degli Studi di ParmaParco Area delle Scienze 53/A

The authors consider a free interface problem which stems from a gas-solid model in combustion with pattern formation. A third-order, fully nonlinear, self-consistent equation for the flame front is derived. Asymptotic methods reveal that the interface approaches a solution to the kuramoto-sivashinsky equation. Numerical results which illustrate the dynamics are presented.

关键词： Asymptotics Free interface kuramoto-sivashinsky equation Pseudo-differential operator Spectral method