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Global solutions of the 3D incompressible inhomogeneous viscoelastic system

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arxiv 2403.00555 v1 pith:EMFHDG6R submitted 2024-03-01 math.AP

Chengfei Ai , Yong Wang This is my paper · ORCID
classification math.AP
keywords systemglobalincompressibleinhomogeneoussolutionsviscoelasticappropriateassume
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In this paper, we prove the global existence of strong solutions for the 3D incompressible inhomogeneous viscoelastic system. We do not assume the "initial state" assumption and the "div-curl" structure inspired by the works [59,61]. It is a key to transform the original system into a suitable dissipative system by introducing a new effective tensor, which is useful to establish a series of energy estimates with appropriate time weights.

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