Strong solutions of 3D compressible Oldroyd‐B fluids |
| |
Authors: | Daoyuan Fang Ruizhao Zi |
| |
Institution: | Department of Mathematics, Zhejiang University, , Hangzhou, 310027 China |
| |
Abstract: | This paper is concerned with a compressible viscoelastic fluids of Oldroyd‐B type. We prove the existence of unique local strong solutions for all initial data satisfying some compatibility condition. Moreover, we establish a blow‐up criterion for the strong solution in terms of the norm of the density tensor ρ and the norm of the symmetric tensor of constraints τ. All the results hold for the initial density vanishing from below. Copyright © 2012 John Wiley & Sons, Ltd. |
| |
Keywords: | compressible Oldroyd‐B fluids local strong solutions blow‐up criterion |
|
|