Global well-posedness of the non-isothermal model for incompressible nematic liquid crystals
LI, Quanrong - Personal Name
In this paper, a macromolecular non-isothermal model for the incompressible
hydrodynamics flow of nematic liquid crystals on T3 is considered. By a Galerkin
approximation, we prove the local existence of a unique strong solution if the initial
data u0, d0 and θ0 satisfy some natural conditions and provided that the viscosity
coefficients μ and the heat conductivity κ, h, which are temperature dependent, are
properly differentiable and bounded. Moreover, with small initial data, we can extend
the local strong solution to be a global one by the argument of contradiction. In this
case, the exponential time decay rate is also established.
hydrodynamics flow of nematic liquid crystals on T3 is considered. By a Galerkin
approximation, we prove the local existence of a unique strong solution if the initial
data u0, d0 and θ0 satisfy some natural conditions and provided that the viscosity
coefficients μ and the heat conductivity κ, h, which are temperature dependent, are
properly differentiable and bounded. Moreover, with small initial data, we can extend
the local strong solution to be a global one by the argument of contradiction. In this
case, the exponential time decay rate is also established.
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| EB00000003128K | Available |
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E-Jurnal
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Subject(s)
incompressible flow
nematic liquid crystals
non-isotherma
a priori estimates
local and global existence and uniqueness
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Statement of Responsibility
Quanrong Li
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