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On upper and lower bounds of higher order derivatives for solutions to the 2D micropolar fluid equations |
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| Authors: | Bo-Qing Dong Zhi-Min Chen |
| Institution: | a School of Mathematical Sciences, Nankai University, Tianjin 300071, PR China b School of Engineering Sciences, Ship Science, University of Southampton, Southampton SO17 1BJ, United Kingdom |
| Abstract: | The present paper is concerned with asymptotic behaviours of the solutions to the micropolar fluid motion equations in R2. Upper and lower bounds are derived for the L2 decay rates of higher order derivatives of solutions to the micropolar fluid flows. The findings are mainly based on the basic estimates of the linearized micropolar fluid motion equations and generalized Gronwall type argument. |
| Keywords: | Micropolar fluid motion equations Upper and lower bounds _method=retrieve& _eid=1-s2 0-S0022247X07000972& _mathId=si3 gif& _pii=S0022247X07000972& _issn=0022247X& _acct=C000051805& _version=1& _userid=1154080& md5=151b015dfd7edce1d08017bc5b2a083a')" style="cursor:pointer L2 decay" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">L2 decay |
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