We consider a fourth order equation, which contains nonlin- ear dispersive effects as well as fourth order dissipative effects. We prove that as the diffusion and dispersion parameters tend to zero, with a condition on the relative balance between these two param- eters, smooth solutions of the equation converge to discontinuous weak solutions of a scalar conservation law.
|Titolo:||Hamiltonian Approximation of Entropy Solutions of the Burgers Equation|
|Data di pubblicazione:||2012|
|Nome del convegno:||13th International Conference on Hyperbolic Problems, HYP 2010|
|Appare nelle tipologie:||4.1 Contributo in Atti di convegno|