The existence of an exponential attractor in magneto-micropolar fluid flow via the ℓ-trajectories method

• Autorzy: Piotr Orliński
• Języki publikacji: EN

Abstrakty

EN

We consider the magneto-micropolar fluid flow in a bounded domain Ω ⊂ ℝ². The flow is modelled by a system of PDEs, a generalisation of the two-dimensional Navier-Stokes equations. Using the Galerkin method we prove the existence and uniqueness of weak solutions and then using the ℓ-trajectories method we prove the existence of the exponential attractor in the dynamical system associated with the model.

Kategorie tematyczne

• 35Q35: PDEs in connection with fluid mechanics
• 35B41: Attractors

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2013
• Tom: 132
• Numer: 2
• Strony: 221-238

Daty

wydano

2013

Twórcy

autor

Piotr Orliński

• Institute of Applied Mathematics and Mechanics, University of Warsaw, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/cm132-2-5