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.
2012
13th International Conference on Hyperbolic Problems, HYP 2010
978-981-4417-06-8
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).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/93905
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