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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 (English)In: Discrete and continuous dynamical systems. Series B, ISSN 1531-3492, E-ISSN 1553-524X, Vol. 11, no 4, p. 935-970Article in journal (Refereed) 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.

Place, publisher, year, edition, pages
2009. Vol. 11, no 4, p. 935-970
Keywords [en]
asymptotic behaviour., semi-infinite cylinder, Elliptic equation
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-27159DOI: 10.3934/dcdsb.2009.11.935OAI: oai:DiVA.org:hig-27159DiVA, id: diva2:1220878
Available from: 2018-06-19 Created: 2018-06-19 Last updated: 2018-06-21Bibliographically approved

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Pankratova, Iryna

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