On radial stationary solutions to a model of non-equilibrium growth
2013 ◽
Vol 24
(3)
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pp. 437-453
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Keyword(s):
We present the formal geometric derivation of a non-equilibrium growth model that takes the form of a parabolic partial differential equation. Subsequently, we study its stationary radial solutions by means of variational techniques. Our results depend on the size of a parameter that plays the role of the strength of forcing. For small forcing we prove the existence and multiplicity of solutions to the elliptic problem. We discuss our results in the context of non-equilibrium statistical mechanics.
1978 ◽
Vol 63
(1)
◽
pp. 224-243
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1979 ◽
Vol 71
(1)
◽
pp. 167-186
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2005 ◽
Vol 2005
(6)
◽
pp. 607-617
◽
2011 ◽
Vol 17
(05)
◽
pp. 779-794
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2015 ◽
Vol 2015
◽
pp. 1-9
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1982 ◽
Vol 24
(4)
◽
pp. 326-329
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2021 ◽
Vol 57
(2)
◽
pp. 92-100