TY - JOUR
T1 - Existence of Time Periodic Solution to Some Double-Diffusive Convection System in the Whole Space Domain
AU - Otani, Mitsuharu
AU - Uchida, Shun
PY - 2018/9/1
Y1 - 2018/9/1
N2 - This paper is concerned with the existence of time periodic solutions to some system which describes double-diffusive convection phenomena in the whole space RN with N= 3 and 4. In previous results for periodic problems of parabolic type equations with non-monotone perturbation terms, it seems that either of the smallness of given data or the boundedness of space domain is essential. In spite of the presence of non-monotone terms, the solvability of our problem in the whole space is shown for large external forces via the convergence of solutions to approximate equations in bounded domains.
AB - This paper is concerned with the existence of time periodic solutions to some system which describes double-diffusive convection phenomena in the whole space RN with N= 3 and 4. In previous results for periodic problems of parabolic type equations with non-monotone perturbation terms, it seems that either of the smallness of given data or the boundedness of space domain is essential. In spite of the presence of non-monotone terms, the solvability of our problem in the whole space is shown for large external forces via the convergence of solutions to approximate equations in bounded domains.
KW - Brinkman–Forchheimer equation
KW - Double-diffusive convection
KW - Large data
KW - Time periodic problem
KW - Whole space domain
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U2 - 10.1007/s00021-017-0354-1
DO - 10.1007/s00021-017-0354-1
M3 - Article
AN - SCOPUS:85051422415
SN - 1422-6928
VL - 20
SP - 1035
EP - 1058
JO - Journal of Mathematical Fluid Mechanics
JF - Journal of Mathematical Fluid Mechanics
IS - 3
ER -