Existence and uniqueness of solutions for a class of non-Newtonian fluids with vacuum and damping

Yuan, Hongjun; Li, Huapeng

doi:10.1016/j.jmaa.2012.02.015

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction3

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2016

2024

Publication Types

Select...

Article6

Relationship

Self Cite0

Independent6

Authors

Journals

Cited by 13 publications

(3 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Renardy and Wang considered the flow of an upper convected Maxwell fluid in the limit of high Weissenberg and Reynolds number. Yuan et al , proved local existence and uniqueness of solutions for a class of non‐Newtonian fluids with vacuum and damping in one‐dimensional bounded intervals.…”

Section: Introductionmentioning

confidence: 99%

On the small time asymptotics of stochastic non‐Newtonian fluids

Liu

Sun

2016

Math Methods in App Sciences

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

On the small time asymptotics of stochastic non‐Newtonian fluids

Liu

Sun

2016

Math Methods in App Sciences

View full text Add to dashboard Cite

show abstract

“…Later, Fang and Guo had given the analytical solution to a class of non-Newtonian fluids with free boundaries in [15]. For more related results, we refer the reader to [10,[16][17][18][19] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Local strong solutions to a compressible non‐Newtonian fluid with density‐dependent viscosity

Guo

Wang

2016

Math Methods in App Sciences

View full text Add to dashboard Cite

We consider the initial boundary problem for a compressible non‐Newtonian fluid with density‐dependent viscosity. The local existence of strong solution is established that is based on some compatibility condition. Moreover, it is also proved that the solutions are to blow up, and the maximum norm of velocity gradients controls the possible break down of the strong solutions. Copyright © 2016 John Wiley & Sons, Ltd.

show abstract

“…Up to now, the results on non-Newtonian fluids are quite few. In [4], the local existence and uniqueness results of non-Newtonian fluids were given in the case of H norm is small enough. The results on fluid particle interaction non-Newtonian models, see [6][7].…”

Section: Introductionmentioning

confidence: 99%

Strong Solutions of Navier-Stokes-Poisson Equations for Compressible Non-Newtonian Fluids

Song¹

2016

SJAMS

View full text Add to dashboard Cite

This paper study the Navier-Stoke-Poisson equations for compressible non-Newtonian fluids in one dimensional bounded intervals. The motion of the fluid is driven by the compressible viscous isentropic flow under the self-gravitational and an external force. The local existence and uniqueness of strong solutions was proved based on some compatibility condition. The main condition is that the initial density vacuum is allowed.

show abstract

Existence and uniqueness of solutions for a class of non-Newtonian fluids with vacuum and damping

Cited by 13 publications

References 15 publications

On the small time asymptotics of stochastic non‐Newtonian fluids

On the small time asymptotics of stochastic non‐Newtonian fluids

Local strong solutions to a compressible non‐Newtonian fluid with density‐dependent viscosity

Strong Solutions of Navier-Stokes-Poisson Equations for Compressible Non-Newtonian Fluids

Contact Info

Product

Resources

About