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(2016)PHYSICAL REVIEW E.93(2). Mark abstract The dynamics of many natural systems is dominated by nonlinear waves propagating through the medium. We show that in any extended system that supports nonlinear wave fronts with positive surface tension, the asymptotic wave-front dynamics can be formulated as a gradient system, even when the underlying evolution equations for the field variables cannot be written as a gradient system. The variational potential is simply given by a linear combination of the occupied volume and surface area of the wave front and changes monotonically over time.

Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8152606



Author: Hans Dierckx and Henri Verschelde

Source: https://biblio.ugent.be/publication/8152606



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