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Global existence for a class of large solution to the three-dimensional micropolar fluid equations with vacuum
Journal of Mathematical Analysis and Applications ( IF 1.3 ) Pub Date : 2021-01-12 , DOI: 10.1016/j.jmaa.2021.124931 Xiaofeng Hou , Hongyun Peng
中文翻译:
具有真空的三维微极性流体方程的一类大解的整体存在
更新日期:2021-01-20
Journal of Mathematical Analysis and Applications ( IF 1.3 ) Pub Date : 2021-01-12 , DOI: 10.1016/j.jmaa.2021.124931 Xiaofeng Hou , Hongyun Peng
In this paper, we investigate the existence of global classical solution to the Cauchy problem for the three-dimensional micropolar fluid equations with vacuum. Precisely, when the far-field density is vacuum, we get the global classical solution under the assumption that is suitably small, where γ is the adiabatic exponent and is the initial energy. This is a Nishida-Smoller type global solvability result to three-dimensional micropolar fluid equations and improves the results obtained by [2], [15].
中文翻译:
具有真空的三维微极性流体方程的一类大解的整体存在
在本文中,我们研究了带真空的三维微极性流体方程组柯西问题的全局经典解的存在。精确地讲,当远场密度为真空时,我们可以得到以下假设的全局经典解:适当小,其中γ是绝热指数,是初始能量。这是Nishida-Smoller型对三维微极性流体方程的整体可解性结果,并且改进了由[2],[15]获得的结果。