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Explicit decay rates for a generalized Boussinesq–Burgers system.
- Source :
-
Applied Mathematics Letters . Feb2020, Vol. 100, pN.PAG-N.PAG. 1p. - Publication Year :
- 2020
-
Abstract
- This paper is concerned with the long-time asymptotic behavior of classical solutions to the Cauchy problem for the generalized Boussinesq–Burgers system: u t + (u w) x = ε u x x , x ∈ R , t > 0 , w t + u γ + w 2 2 x = μ w x x + δ w x x t , x ∈ R , t > 0 , (u , w) (x , 0) = (u 0 , w 0) (x) , x ∈ R , where γ ≥ 2 , ε , μ and δ are positive constants. By utilizing time-weighted energy methods, we identify the explicit decay rates of classical solutions to the Cauchy problem under mild conditions on the initial data. This generalizes the previous result obtained in Zhu and Liu (2016) by extending the exponent γ from a single value to the half real line. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CAUCHY problem
*CLASSICAL solutions (Mathematics)
*RATES
Subjects
Details
- Language :
- English
- ISSN :
- 08939659
- Volume :
- 100
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics Letters
- Publication Type :
- Academic Journal
- Accession number :
- 139192095
- Full Text :
- https://doi.org/10.1016/j.aml.2019.106054