The Forced Inviscid Burgers Equation.

Cristina Turner, Esteban Tabak, Rubén Rosales, Fernando Menzaque

Abstract


The response to resonant and near-resonant forcing is studied in a simple model
using the forced inviscid Burgers equation ut + (u2 /2 )x = f. The nonlinear term represents
simultaneously energy transfer and dissipation mechanisms in more complex systems.
In this work we show the energetic interplay between the dissipation done by the solution of
the forced Burgers equation and the work done by the forcing function.

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ISSN 2591-3522