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Applicable Analysis
An International Journal
Volume 60, 1996 - Issue 3-4
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Original Articles

Free energy and dissipation rate for reaction diffusion processes of electrically charged species

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Pages 201-217 | Received 01 Nov 1995, Published online: 02 May 2007

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JoséA. Cañizo, Laurent Desvillettes & Klemens Fellner. (2014) Improved Duality Estimates and Applications to Reaction-Diffusion Equations. Communications in Partial Differential Equations 39:6, pages 1185-1204.
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A. Glitzky & R. Hunlich. (1997) Global estimates and asymptotics for electro reaction diffusion systems in heterostructures. Applicable Analysis 66:3-4, pages 205-226.
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Annegret Glitzky. (2011) Uniform exponential decay of the free energy for Voronoi finite volume discretized reaction‐diffusion systems. Mathematische Nachrichten 284:17-18, pages 2159-2174.
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Alexander Mielke. (2011) A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems. Nonlinearity 24:4, pages 1329-1346.
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Annegret Glitzky & Klaus Gärtner. (2009) Energy estimates for continuous and discretized electro-reaction–diffusion systems. Nonlinear Analysis: Theory, Methods & Applications 70:2, pages 788-805.
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Marco Di Francesco, Klemens Fellner & Peter A Markowich. (2008) The entropy dissipation method for spatially inhomogeneous reaction–diffusion-type systems. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 464:2100, pages 3273-3300.
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Annegret Glitzky. (2008) Exponential decay of the free energy for discretized electro-reaction–diffusion systems. Nonlinearity 21:9, pages 1989-2009.
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Annegret Glitzky. (2008) Energy estimates for reaction‐diffusion processes of charged species. PAMM 7:1, pages 2040055-2040056.
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Laurent Desvillettes & Klemens Fellner. (2006) Exponential decay toward equilibrium via entropy methods for reaction–diffusion equations. Journal of Mathematical Analysis and Applications 319:1, pages 157-176.
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A. Glitzky & R. Hünlich. (2005) Global Existence Result for Pair Diffusion Models. SIAM Journal on Mathematical Analysis 36:4, pages 1200-1225.
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Annegret Glitzky & Rolf Hünlich. (2000) Electro-Reaction-Diffusion Systems Including Cluster Reactions of Higher Order. Mathematische Nachrichten 216:1, pages 95-118.
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Donald A. Dawson, Klaus Fleischmann & Carl Mueller. (2000) Finite time extinction of superprocesses with catalysts. The Annals of Probability 28:2.
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Donald A. Dawson & Klaus Fleischmann. (1997) Longtime behavior of a branching process controlled by branching catalysts. Stochastic Processes and their Applications 71:2, pages 241-257.
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A. Glitzky & R. Hünlich. (2006) Energetic Estimates and Asymptotics for Electro‐Reaction‐Diffusion Systems. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 77:11, pages 823-832.
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