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 …

The study of supersonic jet flows from a nozzle is significant in practical applications in jet
engine and rocket technology. This paper studies supersonic reacting jet flows from a three …

Confirming a conjecture of Lyng–Raoofi–Texier–Zumbrun, we show that stability of strong
detonation waves in the ZND, or small-viscosity, limit is equivalent to stability of the limiting …

Motivated by physical and numerical observations of time oscillatory “galloping”,“spinning”,
and “cellular” instabilities of detonation waves, we study Poincaré–Hopf bifurcation of …

We are concerned with the two-dimensional steady supersonic reacting Euler flow past
Lipschitz bending walls that are small perturbations of a convex one, and establish the …

The rigorous study of spectral stability for strong detonations was begun by Erpenbeck
(Phys. Fluids 5: 604–614 1962). Working with the Zeldovitch–von Neumann–Döring (ZND) …

We establish one-dimensional spectral, or “normal modes”, stability of Z el'dovich–von N
eumann–Döring detonations in the small heat release limit and the related high overdrive …

Building on the work of Barker, Humpherys, Lafitte, Rudd, and Zumbrun in the shock wave
case, we study stability of compressive, or shock-like, boundary layers of the isentropic …

This paper studies the uniform and weak Lopatinskiĭ conditions associated with classical
(Lax) shock fronts of arbitrary amplitude for compressible hyperelastic materials of …

The rigorous study of spectral stability of strong detonations was begun by Erpenbeck in the
1960s. Working with the Zeldovitch--von Neumann--Döring (ZND) model, he identified two …