- Tytuł:
- Rigorous Numerics for PDEs with Indefinite Tail: Existence of a Periodic Solution of the Boussinesq Equation with Time-dependent Forcing
- Autorzy:
-
Czechowski, Aleksander
Zgliczyński, Piotr - Powiązania:
- https://bibliotekanauki.pl/articles/1373703.pdf
- Data publikacji:
- 2015
- Wydawca:
- Uniwersytet Jagielloński. Wydawnictwo Uniwersytetu Jagiellońskiego
- Tematy:
-
Boussinesq equation
ill-posed PDEs
periodic solutions
isolating segments - Opis:
- 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.
- Źródło:
-
Schedae Informaticae; 2015, 24; 143-158
0860-0295
2083-8476 - Pojawia się w:
- Schedae Informaticae
- Dostawca treści:
- Biblioteka Nauki
Artykuł