3 citations · 4 across the 4 of their papers we have counts for
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Hidden dynamics and the origin of pulsating waves in Self-propagating High temperature Synthesis
R. Monneau, G. S. Weiss
We derive the precise limit of SHS in the high activation energy scaling suggested by B.J. Matkowksy-G.I. Sivashinsky in 1978 and by A. Bayliss-B.J. Matkowksy-A.P. Aldushin in 2002…
An Unstable Elliptic Free Boundary Problem arising in Solid Combustion
Regis Monneau, G. S. Weiss
We prove a regularity result for the unstable elliptic free boundary problem related to traveling waves in a problem arising in solid combustion. The maximal so…
On the one-dimensional parabolic obstacle problem with variable coefficients
Adrien Blanchet, Jean Dolbeault, Regis Monneau
This note is devoted to continuity results of the time derivative of the solution to the one-dimensional parabolic obstacle problem with variable coefficients. It applies to the sm…
Oscillating minimizers of a fourth order problem invariant under scaling
R. Benguria, I. Catto, J. Dolbeault +1
By variational methods, we prove the inequality: $$ \int_{\mathbb{R}} u''{}^2 dx-\int_{\mathbb{R}} u'' u^2 dx\geq I \int_{\mathbb{R}} u^4 dx\quad \forall u\in L^4({\mathbb{R}}) {su…