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  • 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.
  • 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. (en)
Title
  • On radial stationary solutions to a model of non-equilibrium growth
  • On radial stationary solutions to a model of non-equilibrium growth (en)
skos:prefLabel
  • On radial stationary solutions to a model of non-equilibrium growth
  • On radial stationary solutions to a model of non-equilibrium growth (en)
skos:notation
  • RIV/67985840:_____/13:00393489!RIV14-AV0-67985840
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  • I
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  • 3
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  • 93782
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  • RIV/67985840:_____/13:00393489
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  • non-equilibrium growth; radial solutions; variational methods (en)
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  • GB - Spojené království Velké Británie a Severního Irska
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  • [7CDC0E2C5BD7]
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  • European Journal of Applied Mathematics
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  • 24
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  • Hakl, Robert
  • Torres, P. J.
  • Escudero, C.
  • Peral, I.
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  • 000319091300005
issn
  • 0956-7925
number of pages
http://bibframe.org/vocab/doi
  • 10.1017/S0956792512000484
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