3 problems
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Conjecture on stability of the heteroclinic waves
The heteroclinic waves arise as component waves in the multi-bump limit of a family of homoclinic orbits. Their associated linearized operators have point spectra, considered in th…
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Large-amplitude Evans-function convergence for Lax 2-shocks and overcompressive shocks
Large-amplitude Evans-function convergence conjecture. In each of these cases, the Evans function converges in the limit to the Evans function for the formal pressureless gas limit…
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Lafitte–Rousset–Zumbrun conjecture on stability in the ZND limit
Let be a family of strong detonation profiles for the reactive Navier–Stokes equations converging, as , to a strong deto…