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The Cauchy problem of a fluid-particle interaction model with external forces
- Source :
- Mathematical Methods in the Applied Sciences. 41:212-233
- Publication Year :
- 2017
- Publisher :
- Wiley, 2017.
-
Abstract
- In this paper, we consider the Cauchy problem of a fluid-particle interaction model with external forces. We first construct the asymptotic profile of the system. The global existence and uniqueness theorem for the solution near the profile is given. Finally, optimal decay rate of the solution to the background profile is obtained by combining the decay rate analysis of a linearized equation with energy estimates for the nonlinear terms. The main method used in this paper is the energy method combining with the macro-micro decomposition.
- Subjects :
- Cauchy problem
Picard–Lindelöf theorem
General Mathematics
010102 general mathematics
Mathematical analysis
General Engineering
Interaction model
01 natural sciences
010101 applied mathematics
Fluid particle
Nonlinear system
Decomposition (computer science)
Initial value problem
0101 mathematics
Energy (signal processing)
Mathematics
Subjects
Details
- ISSN :
- 01704214
- Volume :
- 41
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi...........85abf00949e14875c63c24b5fa3035cc