Global Well-Posedness to the Cauchy Problem of Two-Dimensional Nonhomogeneous Heat Conducting Navier-Stokes Equations
Global Well-Posedness to the Cauchy Problem of Two-Dimensional Nonhomogeneous Heat Conducting Navier-Stokes Equations
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DOI：
10.1007/s12220-022-00947-7
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发表时间：
2022-05
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影响因子：
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通讯作者：
X. Zhong
中科院分区：
文献类型：
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作者：
X. Zhong
在本文中，我们考虑全空间非齐次导热纳维-斯托克斯方程的柯西问题。结合精细的能量估计和对数插值不等式，我们推导出强解的全局存在性和唯一性。特别是，初始数据可以是任意大。
In the present paper, we consider the Cauchy problem of nonhomogeneous heat conducting Navier–Stokes equations in the whole space. Combining delicate energy estimates and a logarithmic interpolation inequality, we derive the global existence and uniqueness of strong solutions. In particular, the initial data can be arbitrarily large.