Rigorous Numerics for PDEs with Indefinite Tail: Existence of a Periodic Solution of the Boussinesq Equation with Time-dependent Forcing
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RIS BIB ENDNOTERigorous Numerics for PDEs with Indefinite Tail: Existence of a Periodic Solution of the Boussinesq Equation with Time-dependent Forcing
Publication date: 11.04.2016
Schedae Informaticae, 2015, Volume 24, pp. 143-158
https://doi.org/10.4467/20838476SI.15.014.3486Authors
Rigorous Numerics for PDEs with Indefinite Tail: Existence of a Periodic Solution of the Boussinesq Equation with Time-dependent Forcing
We consider the Boussinesq PDE perturbed by a time-dependent forcing. Even though there is no smoothing effect for arbitrary smooth initial data, we are able to apply the method of self-consistent bounds to deduce the existence of smooth classical periodic solutions in the vicinity of 0. The proof is non-perturbative and relies on construction of periodic isolating segments in the Galerkin projections.
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Information: Schedae Informaticae, 2015, Volume 24, pp. 143-158
Article type: Original article
Delft University of Technology, Delft, The Netherlands
Jagiellonian University in Kraków, Gołębia 24, 31-007 Kraków, Poland
Published at: 11.04.2016
Article status: Open
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