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Global existence and asymptotic behavior of solution for Rosenau equation with Stokes damped term
Author(s) -
Wang Shubin,
Su Xiao
Publication year - 2015
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3333
Subject(s) - uniqueness , mathematics , contraction mapping , mathematical analysis , initial value problem , term (time) , cauchy problem , contraction (grammar) , amplitude , fixed point theorem , physics , medicine , quantum mechanics
We study the small‐data Cauchy problem for n ‐dimensional Stokes damped Rosenau equation. Under some assumptions, we prove the global existence and uniqueness of the small‐amplitude solution by utilizing the contraction mapping principle and study the asymptotic behavior of the solution. Copyright © 2015 John Wiley & Sons, Ltd.