Global existence and exponential decay of strong solutions for 2D nonhomogeneous micropolar fluids with density-dependent viscosity
- 1 June 2021
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 62 (6), 061508
- https://doi.org/10.1063/5.0055689
Abstract
We study an initial boundary value problem of two-dimensional nonhomogeneous micropolar fluid equations with density-dependent viscosity and non-negative density. Applying the Desjardins interpolation inequality and delicate energy estimates, we show the global existence of a unique strong solution under the condition that is suitably small. Moreover, we prove that the velocity and the micro-rotational velocity converge exponentially to zero in H2 as time goes to infinity.
Funding Information
- National Natural Science Foundation of China (11901474, 12071359)
- The Chongqing Talent Plan for Young Topnotch Talents (CQYC202005074)
- Venture and Innovation Support Program for Chongqing Overseas Returnees (cx2020082)
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