Qualitative properties of solutions to mixed-diffusion bistable equations

Bonheure, Denis; Juraj, Földes; Alberto, Saldaña

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1007/s00526-016-0987-6

Title :

Qualitative properties of solutions to mixed-diffusion bistable equations

Author(s) :

Bonheure, Denis [Auteur]
Département de mathématiques Université Libre de Bruxelles
Quantitative methods for stochastic models in physics [MEPHYSTO]
Juraj, Földes [Auteur]
Département de mathématiques Université Libre de Bruxelles
Alberto, Saldaña [Auteur]
Département de mathématiques Université Libre de Bruxelles

Journal title :

Calculus of Variations and Partial Differential Equations

Publisher :

Springer Verlag

Publication date :

2016-05

ISSN :

0944-2669

HAL domain(s) :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]

English abstract : [en]

We consider a fourth-order extension of the Allen-Cahn model with mixed-diffusion and Navier boundary conditions. Using variational and bifurcation methods, we prove results on existence, uniqueness, positivity, stability, ...
Show more >We consider a fourth-order extension of the Allen-Cahn model with mixed-diffusion and Navier boundary conditions. Using variational and bifurcation methods, we prove results on existence, uniqueness, positivity, stability, a priori estimates, and symmetry of solutions. As an application, we construct a nontrivial bounded saddle solution in the plane.Show less >

Language :

Anglais

Popular science :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

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