| 分数阶阻尼项发展方程解的长期动态 |
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| 引用本文： | 张媛媛.分数阶阻尼项发展方程解的长期动态[J].华中师范大学学报(自然科学版),2018,52(3):293-297. |
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| 作者姓名： | 张媛媛 |
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| 作者单位： | 开封大学数学教研部， 河南 开封 475000 |
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| 摘 要： | 研究了有界区域下具分数阶阻尼项发展方程的整体适定性和长期动态.研究重点是非线性项的增长阶和方程整体适定性及长期动态的关系，得出非线性项在一定的增长阶条件下，所研究发展方程弱解的存在唯一性.
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| 关 键 词： | 分数阶阻尼项 存在性 唯一性 整体适定性 |
Longtime dynamics of the solutions for a class of evolution equations with fractional damping |
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| ZHANG Yuanyuan.Longtime dynamics of the solutions for a class of evolution equations with fractional damping[J].Journal of Central China Normal University(Natural Sciences),2018,52(3):293-297. |
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| Authors: | ZHANG Yuanyuan |
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| Institution: | Teaching and Research Department of Mathematics， Kaifeng University， Kaifeng， Henan 475000， China |
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| Abstract: | In this paper， the global well-posedness and the longtime dynamics of the solutions for a class of evolution equations with fractional damping on bounded domains are studied. The main results are focused on the relationships among the growth exponent of the nonlinearity， the global well-posedness and the longtime dynamics of the equations. Under certain growth exponent conditions of the nonlinearity， the existence and uniqueness of the weak solutions are established for the above-mentioned evolution equations. |
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| Keywords: | fractional damping existence uniqueness global well-posedness |
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