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On the behaviour at infinity of solutions to stationary convection-diffusion equations in a cylinder
Narvik University College, Narvik, Norway.
Narvik University College, Narvik, Norway.
2009 (engelsk)Inngår i: Discrete and continuous dynamical systems. Series B, ISSN 1531-3492, E-ISSN 1553-524X, Vol. 11, nr 4, s. 935-970Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

The work focuses on the behaviour at infinity of solutions to second order elliptic equation with first order terms in a semi-infinite cylinder. Neumann's boundary condition is imposed on the lateral boundary of the cylinder and Dirichlet condition on its base. Under the assumption that the coefficients stabilize to a periodic regime, we prove the existence of a bounded solution, its stabilization to a constant, and provide necessary and sufficient condition for the uniqueness.

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2009. Vol. 11, nr 4, s. 935-970
Emneord [en]
asymptotic behaviour., semi-infinite cylinder, Elliptic equation
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Identifikatorer
URN: urn:nbn:se:hig:diva-27159DOI: 10.3934/dcdsb.2009.11.935OAI: oai:DiVA.org:hig-27159DiVA, id: diva2:1220878
Tilgjengelig fra: 2018-06-19 Laget: 2018-06-19 Sist oppdatert: 2018-06-21bibliografisk kontrollert

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Pankratova, Iryna

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