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Moderate dispersion in scalar conservation laws
Travelling waves moderate dispersion Korteweg de Vries equation entropy solutions dissipative-dispersive scalar conservation laws
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2015/7/14
We consider the weakly dissipative and weakly dispersive Burgers-Hopf-Korteweg-de-Vries equation with the diffusion coefficient ε and the dispersion rate δ in the range δ/ε → 0. We study thetravelling...
We derive the representative Bernstein measure of the density of (X )− /(1− ), 0 < < 1, where X is a positive stable random variable, as a Fox-H function. Our result makes more explicit...
A Fractional Model for the Allometric Scaling Laws
Biology Allometric scaling law Caputo fractional derivative Fractional differential equation
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2008/11/10
From the available literature, the allometric scaling laws generally exist in biology, ecology, etc. These scaling laws obey power law distributions. A possibly better approach to characterize the pow...
A Direct Proof of the Equivalence Between the Entropy Solutions of Conservation Laws and Viscosity Solutions of Hamilton-Jacobi Equations In One-Space Variable
Hamilton-Jacobi equation Conservation law Viscosity solution Entropy solution Front tracking method
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2008/7/3
A Direct Proof of the Equivalence Between the Entropy Solutions of Conservation Laws and Viscosity Solutions of Hamilton-Jacobi Equations In One-Space Variable.