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.
Hamiltonian Approximation of Entropy Solutions of the Burgers Equation / Coclite, Giuseppe Maria; Karlsen, K. H.. - 17:(2012), pp. 160-171. (Intervento presentato al convegno 13th International Conference on Hyperbolic Problems, HYP 2010 tenutosi a Beijing, China nel June 15-19, 2010).
Hamiltonian Approximation of Entropy Solutions of the Burgers Equation
COCLITE, Giuseppe Maria;
2012-01-01
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
