We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Existence, blow-up, and exponential decay estimates for a system of semilinear wave equations associated with the helicalflows of Maxwell fluid.
- Authors
Phuong Ngoc, Le Thi; Hoa, Cao Huu; Long, Nguyen Thanh
- Abstract
The paper is devoted to the study of a system of semilinear wave equations associated with the helical flows of Maxwell fluid. First, based on Faedo-Galerkin method and standard arguments of density corresponding to the regularity of initial conditions, we establish two local existence theorems of weak solutions. Next, we prove that any weak solutions with negative initial energy will blow up in finite time. Finally, we give a sufficient condition to guarantee the global existence and exponential decay of weak solutions via the construction of a suitable Lyapunov functional. Copyright © 2015 John Wiley & Sons, Ltd.
- Subjects
WAVE equation; EXPONENTIAL decay law; LYAPUNOV functions; HANKEL functions; GALERKIN methods
- Publication
Mathematical Methods in the Applied Sciences, 2016, Vol 39, Issue 9, p2334
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.3643