Du micro au macro - M2 EDPMAD - 2009-2010 Sujets d’examen

When α = 2, (dKdV) is the so-called KdV-Burgers equation which models the propagation of weakly nonlinear dispersive long waves in some contexts when dissipative effects occur

Extensions to more general initial conditions for the driving process would require extra technical assumptions and computations, which are omitted to simplify the setting and focus

Key words: Second-order evolution equations, asymptotic behavior, dissipative sytems, maximal monotone operators, potential and non-potential operators, coco- ercive operators,

Les TP seront évalués. Vous avez jusqu’au 16 février 2011 pour rendre un rapport avec le code associé pour rendre compte de votre travail.. Smax est le numéro de la sauvegarde.. 2

While almost all the schemes mentioned before are based on very similar ideas, the approach proposed in [23] has been shown to be very general, since it applies to kinetic equations

Here, we intend to present a short survey of the new results of [BRS06], about the asymptotic behavior in time of the global solutions, then always assuming the existence of a

This article somehow completes the former paper [16]: numerical diffusive limits of (1+1)-dimensional kinetic models (1.1) are studied by rescaling well-balanced schemes relying

This method provides an ’Asymptotic pre- serving’ numerical scheme which generates a very good approximation of the space boundary values at the diffusive limit, without any