Bifurcation of Symmetric Domain Walls for the Bénard–Rayleigh Convection Problem.
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| Title: | Bifurcation of Symmetric Domain Walls for the Bénard–Rayleigh Convection Problem. |
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| Authors: | Haragus, Mariana1 (AUTHOR) mharagus@univ-fcomte.fr, Iooss, Gérard2 (AUTHOR) |
| Source: | Archive for Rational Mechanics & Analysis. 2021, Vol. 239 Issue 2, p733-781. 49p. |
| Subjects: | Domain walls (String models), Symmetric domains |
| Abstract: | We prove the existence of domain walls for the Bénard–Rayleigh convection problem. Our approach relies upon a spatial dynamics formulation of the hydrodynamic problem, a center manifold reduction, and a normal forms analysis of an eight-dimensional reduced system. Domain walls are constructed as heteroclinic solutions connecting suitably chosen periodic solutions of this reduced system. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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