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19962026
most citedThe hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations

1k citations

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Showing 2009 · math.APShow all

6 papers · 2 filters

math.AP2009

A fully nonlinear equation for the flame front in a quasi-steady combustion model

C. -M. Brauner, J. Hulshof, L. Lorenzi +1

We revisit the Near Equidiffusional Flames (NEF) model introduced by Matkowsky and Sivashinsky in 1979 and consider a simplified, quasi-steady version of it. This simplification al…

math.AP2009

Analytic continuation of the resolvent of the Laplacian and the dynamical zeta function

Vesselin Petkov, Luchezar Stoyanov

Let be the abscissa of absolute convergence of the dynamical zeta function for several disjoint strictly convex compact obstacles $K_i \subset \R^N, i = 1,..., κ_0…

math.AP2009

A mathematical model for Tsunami generation using a conservative velocity-pressure hyperbolic system

Alain-Yves Le Roux

By using the Hugoniot curve in detonics as a Riemann invariant of a velocity-pressure model, we get a conservative hyperbolic system similar to the Euler equations. The only differ…

math.AP2009

Sound travellingwaves in wind instruments as solutions to non linear homogeneous gas dynamics equations

Alain-Yves Le Roux

The sound propagation is usually described by a linear homogeneous wave equation, though the air flow in a duct is described by the gas dynamics equations, using a variable cross s…

math.AP2009★ 8 cited

Dispersive Stabilization

Guy Metivier, Jeffrey Rauch

Ill posed linear and nonlinear initial value problems may be stabilized, that it converted to to well posed initial value problems, by the addition of purely nonscalar linear dispe…

math.AP2009

Existence of semilinear relaxation shocks

Guy Metivier, Kevin Zumbrun

We establish existence with sharp rates of decay and distance from the Chapman--Enskog approximation of small-amplitude shock profiles of a class of semilinear relaxation systems i…