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2015 | 24 |
Article title

Rigorous Numerics for PDEs with Indefinite Tail: Existence of a Periodic Solution of the Boussinesq Equation with Time-dependent Forcing

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PL
Abstracts
PL
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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Year
Volume
24
Physical description
Dates
published
2015
online
06 - 07 - 2016
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YADDA identifier
bwmeta1.element.ojs-issn-2083-8476-year-2015-volume-24-article-6342
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