Global Dissipativity and Inertial Manifolds for Diffusive Burgers Equations with Low-Wavenumber Instability

Simple item page
dc.creatorVukadinovic, Jesenko
dc.date2009-05-09
dc.date.accessioned2026-07-07T13:13:29Z
dc.date.available2026-07-07T13:13:29Z
dc.descriptionGlobal well-posedness, existence of globally absorbing sets and existence of inertial manifolds is investigated for a class of diffusive Burgers equations. The class includes diffusive Burgers equation with nontrivial forcing, the Burgers-Sivashinsky equation and the Quasi-Stedy equation of cellular flames. The global dissipativity is proven in 2D for periodic boundary conditions. For the proof of the existence of inertial manifolds, the spectral-gap condition, which Burgers-type equations do not satisfy in its original form is circumvented by the Cole-Hopf transform. The procedure is valid in both one and two space dimensions.
dc.identifierhttps://arxiv.org/abs/0905.1358
dc.identifierhttp://arxiv.org/abs/0905.1358
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229904
dc.subjectMathematical Physics
dc.subject35K55, 35B41, 35B42, 37L25
dc.titleGlobal Dissipativity and Inertial Manifolds for Diffusive Burgers Equations with Low-Wavenumber Instability
dc.typetext

Files

Collections

arXiv