Publikation: Positive Entropic Schemes for a Nonlinear Fourth-order Parabolic Equation
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2001
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Carrillo, José A.
Jüngel, Ansgar
Tang, Shaoqiang
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A finite-difference scheme with positivity-preserving and entropy-decreasing properties for a nonlinear fourth-order parabolic equation arising in quantum systems and interface fluctuations is derived. Initial-boundary value problems, the Cauchy problem and a rescaled equation are discussed. Based on this scheme we elucidate properties of the long-time asymptotics for this equation.
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CARRILLO, José A., Ansgar JÜNGEL, Shaoqiang TANG, 2001. Positive Entropic Schemes for a Nonlinear Fourth-order Parabolic EquationBibTex
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