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math.AP2021
Global Well-posedness of Incompressible Elastodynamics in Three Dimensional Thin Domain
Yuan Cai, Fan Wang
In this article, we prove global existence of classical solutions to the incompressible isotropic Hookean elastodynamics in three-dimensional thin domain $Ω_δ=\mathbb{R}^2\times [0…
math.AP2020
Uniform Bound of the Highest-order Energy of the 2D Incompressible Elastodynamics
Yuan Cai
This paper concerns the time growth of the highest-order energy of the systems of incompressible isotropic elastodynamics in two space dimensions. The global well-posedness of smoo…
math.AP2016
Global Well-posedness of the Incompressible Magnetohydrodynamics
Yuan Cai, Zhen Lei
This paper studies the Cauchy problem of the incompressible magnetohydrodynamic systems with or without viscosity . Under the assumption that the initial velocity field and the…