23 citations · 51 across the 11 of their papers we have counts for
11 papers
Nonlinear response of wrinkled premixed flames to time- and space-dependent forcing and stretch
Guy Joulin, Bruno Denet
Premixed-flame wrinkling is studied via a Michelson-Sivashinsky (MS) type of evolution equation retaining the Darrieus-Landau (DL) instability, a curvature effect and a geometric n…
Premixed flame shapes and polynomials
Bruno Denet, Guy Joulin
The nonlinear nonlocal Michelson-Sivashinsky equation for isolated crests of unstable flames is studied, using pole-decompositions as starting point. Polynomials encoding the numer…
Shapes and speeds of forced premixed flames
Guy Joulin, Bruno Denet
Steady premixed flames subjected to space-periodic steady forcing are studied via inhomogeneous Michelson-Sivashinsky (MS) and then Burgers equations. For both, the flame slope is…
Resolvent methods for steady premixed flame shapes governed by the Zhdanov-Trubnikov equation
Gaëtan Borot, Bruno Denet, Guy Joulin
Using pole decompositions as starting points, the one parameter (-1 =< c < 1) nonlocal and nonlinear Zhdanov-Trubnikov (ZT) equation for the steady shapes of premixed gaseous flame…
Flame Wrinkles From the Zhdanov-Trubnikov Equation
Guy Joulin, Bruno Denet
The Zhdanov-Trubnikov equation describing wrinkled premixed flames is studied, using pole-decompositions as starting points. Its one-parameter (-1< c <1) nonlinearity generalizes t…
Wrinkled flames and geometrical stretch
Bruno Denet, Guy Joulin
Localized wrinkles of thin premixed flames subject to hydrodynamic instability and geometrical stretch of uniform intensity (S) are studied. A stretch-affected nonlinear and nonloc…