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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
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...
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
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.