Strong time-periodic solutions to the 3D primitive equations subject to arbitrary large forces

Giovanni P. Galdi; Matthias Georg Hieber; Takahito Kashiwabara

doi:10.1088/1361-6544/aa8166

Strong time-periodic solutions to the 3D primitive equations subject to arbitrary large forces

Giovanni P. Galdi, Matthias Georg Hieber, Takahito Kashiwabara

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

We show that the three-dimensional primitive equations admit a strong time-periodic solution of period T > 0, provided the forcing term f ϵ L²(0, T ; L²(Ω)) is a time-periodic function of the same period. No restriction on the magnitude of f is assumed. As a corollary, if, in. particular, f is time-independent, the corresponding solution is steady-state.

Original language	English
Pages (from-to)	3979-3992
Number of pages	14
Journal	Nonlinearity
Volume	30
Issue number	10
DOIs	https://doi.org/10.1088/1361-6544/aa8166
Publication status	Published - 2017 Sept 18
Externally published	Yes

Keywords

primitive equations
stationary solutions
strong periodic solutions
weak-strong uniqueness

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)
Applied Mathematics

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10.1088/1361-6544/aa8166

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abstract = "We show that the three-dimensional primitive equations admit a strong time-periodic solution of period T > 0, provided the forcing term f ϵ L2(0, T ; L2(Ω)) is a time-periodic function of the same period. No restriction on the magnitude of f is assumed. As a corollary, if, in. particular, f is time-independent, the corresponding solution is steady-state.",

keywords = "primitive equations, stationary solutions, strong periodic solutions, weak-strong uniqueness",

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T1 - Strong time-periodic solutions to the 3D primitive equations subject to arbitrary large forces

AU - Galdi, Giovanni P.

AU - Hieber, Matthias Georg

AU - Kashiwabara, Takahito

PY - 2017/9/18

Y1 - 2017/9/18

N2 - We show that the three-dimensional primitive equations admit a strong time-periodic solution of period T > 0, provided the forcing term f ϵ L2(0, T ; L2(Ω)) is a time-periodic function of the same period. No restriction on the magnitude of f is assumed. As a corollary, if, in. particular, f is time-independent, the corresponding solution is steady-state.

AB - We show that the three-dimensional primitive equations admit a strong time-periodic solution of period T > 0, provided the forcing term f ϵ L2(0, T ; L2(Ω)) is a time-periodic function of the same period. No restriction on the magnitude of f is assumed. As a corollary, if, in. particular, f is time-independent, the corresponding solution is steady-state.

KW - primitive equations

KW - stationary solutions

KW - strong periodic solutions

KW - weak-strong uniqueness

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JO - Nonlinearity

JF - Nonlinearity

IS - 10

ER -

Strong time-periodic solutions to the 3D primitive equations subject to arbitrary large forces

Abstract

Keywords

ASJC Scopus subject areas

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