Global well-posedness of stochastic Burgers system
Global well-posedness of stochastic Burgers system
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DOI：
10.4310/cms.2015.v13.n1.a8
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发表时间：
2015
影响因子：
1
通讯作者：
B. Guo;Yongqian Han;Guoli Zhou
中科院分区：
文献类型：
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作者：
B. Guo;Yongqian Han;Guoli Zhou
.本文考虑了一类It型随机Burgers系统.证明了该模型的整体适定性。证明依赖于对速度的能量估计。利用确定性抛物型方程的极大值原理，克服了高阶范数引起的困难。本文的方法和结果也可推广到其它带加性白色噪声的抛物型方程，如随机反应微分方程。
. In this paper a stochastic Burgers system in Itˆo form is considered. The global well-posedness is proved. The proof relies on energy estimates for the velocity. A maximum principle of deterministic parabolic equations is used to overcome the difficulties arising from higher order norms. The methods and results can be applied to other parabolic equations with additive white noise such as stochastic reaction diffusion equations.