Attractors for the nonclassical diffusion equations of Kirchhoff type with critical nonlinearity on unbounded domain

Zhang Fanghong; Bai Lihong

首页> 外文期刊>Dynamical Systems >Attractors for the nonclassical diffusion equations of Kirchhoff type with critical nonlinearity on unbounded domain

【24h】

Attractors for the nonclassical diffusion equations of Kirchhoff type with critical nonlinearity on unbounded domain

机译：无界域上具有临界非线性的Kirchhoff型非经典扩散方程的吸引子

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

In this paper, we investigate the long-time behavior of the solutions for the following nonclassical diffusion equations of Kirchhoff type First, we prove the well-posedness of solution for the nonclassical diffusion equations of Kirchhoff type with critical nonlinearity on , then the existence of global attractor is established in the natural energy space . Finally, we obtain the existence of exponential attractors in , as a product, the global attractor has finite fractal dimension.

机译：在本文中，我们研究以下Kirchhoff型非经典扩散方程解的长期行为。首先，证明临界非线性的Kirchhoff型非经典扩散方程解的适定性，然后存在在自然能源空间建立了全球吸引子。最终，我们得到指数吸引子的存在，作为一个产品，整体吸引子具有有限的分形维数。

著录项

来源
《Dynamical Systems》 |2019年第4期|640-667|共28页
作者
Zhang Fanghong; Bai Lihong;
展开▼
作者单位

Reg Circular Econ Key Lab Gansu Higher Inst Lanzhou Gansu Peoples R China|Lanzhou Univ Finance & Econ Longqiao Coll Dept Econ & Trade Lanzhou Gansu Peoples R China;

Gansu Inst Architectural Technol Dept Basic Courses Lanzhou Gansu Peoples R China;

展开▼
收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);美国《化学文摘》(CA);
原文格式 PDF
正文语种 eng
中图分类
关键词
Nonclassical diffusion equation of Kirchhoff type; global attractor; exponential attractors; fractal dimension; critical nonlinearity;

机译：Kirchhoff型非经典扩散方程;全球吸引者指数吸引子分形维数临界非线性;

相似文献

外文文献
中文文献
专利

1. Existence of Random Attractors for 2D-Stochastic Nonclassical Diffusion Equations on Unbounded Domains [J] . Bai Lihong, Zhang Fang-hong Results in mathematics . 2016,第1a2期

机译：无界域上二维随机非经典扩散方程随机吸引子的存在
2. Uniform attractors for multi-valued process generated by non-autonomous nonclassical diffusion equations with delay in unbounded domain without uniqueness of solutions [J] . Bai Lihong, Zhang Fanghong Asymptotic analysis . 2015,第3a4期

机译：由非自治非经典扩散方程产生的多值过程的一致吸引子，在无界域内具有时滞，且没有解的唯一性
3. On Global Attractors for a Class of Reaction-Diffusion Equations on Unbounded Domains with Some Strongly Nonlinear Weighted Term [J] . Zhang Jin, Zhong Chengkui Discrete dynamics in nature and society . 2015,第Pta1期

机译：具有强非线性加权项的无界域上一类反应扩散方程的整体吸引子
4. Existence of global attractor of equations of Kirchhoff type [C] . Li Bao-ping International Conference on Natural Computation;International Conference on Fuzzy Systems and Knowledge Discovery . 2015

机译：Kirchhoff型方程整体吸引子的存在
5. Nonlinear ordinary and partial differential equations on unbounded domains. [D] . Morris, Jason Robert. 2005

机译：无界域上的非线性常微分方程和偏微分方程。
6. Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy–Sobolev exponent and singular nonlinearity [O] . Liejun Shen -1

机译：具有Hardy-Sobolev指数和奇异非线性的Kirchhoff型方程解的多重性和渐近性
7. Global Attractor for Nonlinear Wave Equations with Critical Exponent on Unbounded Domain [O] . Yuncheng You 2016

机译：非线性指数在无限域中的非线性波动方程的全局吸引子

Attractors for the nonclassical diffusion equations of Kirchhoff type with critical nonlinearity on unbounded domain

摘要

著录项

相似文献

相关主题

期刊订阅