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Dynamics of Partial Differential Equations
Volume 18 (2021)
Number 1
Strong solutions to the Cauchy problem of two-dimensional nonhomogeneous micropolar fluid equations with nonnegative density
Pages: 49 – 69
DOI: https://dx.doi.org/10.4310/DPDE.2021.v18.n1.a4
Author
Abstract
We consider the Cauchy problem of nonhomogeneous micropolar fluid equations with zero density at infinity on the whole space $\mathbb{R}^2$. By weighted energy method, we show the local existence and uniqueness of strong solutions provided that the initial density decays not too slowly at infinity.
Keywords
nonhomogeneous micropolar fluid equations, strong solutions, Cauchy problem, nonnegative density
2010 Mathematics Subject Classification
Primary 35Q35. Secondary 76D03.
Received 3 February 2020
Published 19 February 2021