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author:

Zhang, Qunfeng (Zhang, Qunfeng.) [1] | Liu, Hao (Liu, Hao.) [2] | Wang, Weiwei (Wang, Weiwei.) [3]

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Abstract:

This paper investigates the global strong solutions of non-isentropic incompressible viscoelastic fluids in the periodic domain. When the initial velocity, deformation and temperature is small for the given physical parameters, we prove that the global existence and uniquence of strong solutions. And the result mathematically verifies that for the large elasticity coefficient, the initial velocity and temperature can be large. Moreover, we also get decay-in-time estimates and find that the velocity decays (exponential decay) faster than the temperature (algebraic decay) in Lagrangian coordinates. © 2025 Copyright held by the owner/author(s).

Keyword:

Algebra Computation theory Decay (organic) Elasticity Incompressible flow Viscoelasticity

Community:

  • [ 1 ] [Zhang, Qunfeng]School of Mathematics and Statistics, Fuzhou University, Fujian, Fuzhou, China
  • [ 2 ] [Liu, Hao]School of Mathematics and Statistics, Fuzhou University, Fujian, Fuzhou, China
  • [ 3 ] [Wang, Weiwei]School of Mathematics and Statistics, Fuzhou University, Fujian, Fuzhou, China

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Year: 2025

Page: 466-472

Language: English

Cited Count:

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ESI Highly Cited Papers on the List: 0 Unfold All

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Chinese Cited Count:

30 Days PV: 0

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