Global regularity for a class of 2D tropical climate model

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• 作者：Zhuan Ye <sup>yezhuan815@126.com" class="auth_mail" title="E-mail the corresponding authorsup>
• 关键词：Tropical atmospheric dynamics ; Global regularity
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：446
• 期：1
• 页码：307-321
• 全文大小：346 K

文摘

In this paper, we establish the global regularity of a modified version of the tropical climate model originally derived by Frierson&ndash;Majda&ndash;Pauluis (2004) <span id="bbr0060">[6]span> which couples the barotropic and baroclinic modes of the velocity and the typical midtropospheric temperature. In proving the global regularity, to bypass the difficulty caused by the very weak dissipation (any small power <span id="mmlsi1" class="mathmlsrc"><span class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304851&_mathId=si1.gif&_user=111111111&_pii=S0022247X16304851&_rdoc=1&_issn=0022247X&md5=d866281e4acd9a35800805c57c982208" title="Click to view the MathML source">α>0span><span class="mathContainer hidden"><span class="mathCode">scroll">α>0span>span>span>) of the barotropic mode, we utilize the &ldquo;weakly nonlinear&rdquo; energy estimate approach and the Maximal <span id="mmlsi2" class="mathmlsrc">source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304851&_mathId=si2.gif&_user=111111111&_pii=S0022247X16304851&_rdoc=1&_issn=0022247X&md5=4118bd2062a9225e384d2bdbca80c6ce">ss="imgLazyJSB inlineImage" height="17" width="38" alt="View the MathML source" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0022247X16304851-si2.gif">script>der="0" style="vertical-align:bottom" width="38" alt="View the MathML source" title="View the MathML source" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S0022247X16304851-si2.gif">script><span class="mathContainer hidden"><span class="mathCode">scroll">subsup>Ltqsubsup>subsup>Lxpsubsup>span>span>span> regularity for the heat kernel.