| THE REGULARITY AND UNIQUENESS OF A GLOBAL SOLUTION TO THE ISENTROPIC NAVIER-STOKES EQUATION WITH ROUGH INITIAL DATA |
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| 作者姓名： | 王海涛 张雄韬 |
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| 作者单位： | 1. Institute of Natural Sciences and School of Mathematical Sciences, LSC-MOE,Shanghai Jiao Tong University;2. School of Mathematics and Statistics, Wuhan University |
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| 基金项目： | partially supported by the National Key R&D Program of China (2022YFA1007300)；;supported by the NSFC (11901386, 12031013)；;supported by the NSFC(11801194, 11971188)； |
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| 摘 要： | A global weak solution to the isentropic Navier-Stokes equation with initial data around a constant state in the L1∩ BV class was constructed in 1].In the current paper,we will continue to study the uniqueness and regularity of the constructed solution.The key ingredients are the Holder continuity estimates of the heat kernel in both spatial and time variables.With these finer estimates,we obtain higher order regularity of the constructed solution to Navier-Stokes equation,so that al...
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