论文标题

粘弹性流体在机械隔离的容器中的无条件有限幅度稳定性,其空间不均匀壁温

Unconditional finite amplitude stability of a viscoelastic fluid in a mechanically isolated vessel with spatially non-uniform wall temperature

论文作者

Dostalík, Mark, Průša, Vít, Stein, Judith

论文摘要

我们研究了不可压缩的粘弹性流体的空间不均匀稳态的有限幅度稳定性,该稳态稳定稳定,该粘弹性流体占据了机械隔离的容器,其壁保持在空间不均匀的温度下。对于一系列不可压缩的粘弹性模型,包括Oldroyd-B模型,Giesekus模型,Fene-P模型,Johnson-Segalman模型和Phan-Thien-Thien-Tanner模型,我们证明稳定状态是稳定的。

We investigate finite amplitude stability of spatially inhomogeneous steady state of an incompressible viscoelastic fluid which occupies a mechanically isolated vessel with walls kept at spatially non-uniform temperature. For a wide class of incompressible viscoelastic models including the Oldroyd-B model, the Giesekus model, the FENE-P model, the Johnson--Segalman model, and the Phan--Thien--Tanner model we prove that the steady state is stable subject to any finite perturbation.

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