In recent years, the Evans function has become an important tool for the determination of
stability of travelling waves. This function, a Wronskian of decaying solutions of the …

Proposed is a phenomenological modeling framework that is capable of reproducing the
diverse experimental observations of the nonlinear, combustion wave propagation in a …

We propose a theory of weakly nonlinear multidimensional self-sustained detonations
based on asymptotic analysis of the reactive compressible Navier–Stokes equations. We …

Chapman-Jouguet travelling wave for a two-steps reaction scheme Page 558 ITALIAN JOURNAL
OF PURE AND APPLIED MATHEMATICS–N. 39–2018 (544–553) 544 CHAPMAN-JOUGUET …

Here we analyze properties of an equation that we previously proposed to model the
dynamics of unstable detonation waves AR Kasimov, LM Faria, and RR Rosales, Model for …

It is a standard practice to neglect diffusive effects in stability analyses of detonation waves.
Here, with the aim of quantifying the impact of these oft-neglected effects on the stability …

The Rotating Detonation Engine (RDE) is a novel rocket combustor configuration that
features a periodic, high aspect ratio (length of flowpath versus transverse thickness) …

We present a computational analysis of a 2× 2 hyperbolic system of balance laws whose
solutions exhibit complex nonlinear behavior. Traveling-wave solutions of the system are …

Traveling Wave Solution for a Hyperbolic Differential Equation | Lobachevskii Journal of
Mathematics Skip to main content SpringerLink Account Menu Find a journal Publish with us …

Shock waves in reactive media possess very rich dynamics: from formation of cells in
multiple dimensions to oscillating shock fronts in one-dimension. Because of the extreme …