2015 Fiscal Year Final Research Report
A studies on existence, asymptotic behavior of solutions and invariant measure to stochastic wave equations
| Project/Area Number |
24540198
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Kurume University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
Xie Bin 信州大学, 理学部, 准教授 (50510038)
Tan kouyu 久留米大学, 経済学部, 教授 (70368968)
Nagase Noriaki 弘前大学, 理工学研究科, 准教授 (30228019)
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Keywords | 弱解 / 漸近安定 / 爆発 / 不変測度 |
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| Outline of Final Research Achievements |
In this research we have considered a stochastic wave equation with damping and source term deriven by the noise B(X(t),Y(t))dW(t). We have obtained some results on local, global existence, asymptotic behavior, explosion of weak solutions and invariant measure to the above-mentioned stochastic wave quations.
We also have obtained some results on the existence and asymptotic behavior of a weak solution to a stochastic Navier-Stokes equation on an exterior domain by the semigroup method.
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| Free Research Field |
確率偏微分方程式論
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