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- Anna Ghazaryan, Yuri Latushkin, Stephen Schecter
- SIAM J. Math. Analysis
- 2010

Stability results are proved for traveling waves in a class of reaction-diffusion systems that arise in chemical reaction models. The class includes systems in which there is no diffusion in someâ€¦ (More)

For the linearization of a degenerate reaction-diffusion system at a traveling pulse or front, we prove a theorem that allows one to derive information about the semigroup generated by the linearâ€¦ (More)

We consider wavefronts that arise in a mathematical model for high Lewis number combustion processes. An efficient method for the proof of the existence and uniqueness of combustion fronts isâ€¦ (More)

In this paper a mathematical model is considered that describes combustion processes characterized by a very high Lewis number. The model is known to support a wavefront that asymptotically connectsâ€¦ (More)

For gasless combustion in a one-dimensional solid, we show a type of nonlinear stability of the physical combustion front: if a perturbation of the front is small in both a spatially uniform norm andâ€¦ (More)

We study traveling wave solutions arising in Sivashinskyâ€™s model of subsonic detonation which describes combustion processes in inert porous media. Subsonic (shockless) detonation waves tend toâ€¦ (More)

- Anna Ghazaryan, BjÃ¶rn Sandstede
- SIAM J. Applied Dynamical Systems
- 2007

Fronts are travelling waves in spatially extended systems that connect two different spatially homogeneous rest states. If the rest state behind the front undergoes a supercritical Turingâ€¦ (More)

On the convective nature of the instability of a front undergoing a supercritical Turing bifurcation

- Anna Ghazaryan
- Mathematics and Computers in Simulation
- 2009

Fronts are traveling waves in spatially extended systems that connect two different spatially homogeneous rest states. If the rest state behind the front undergoes a supercritical Turing instability,â€¦ (More)

- Anna Ghazaryan, Peter Gordon, Alexander Virodov
- 2009

We consider a system of two reaction diffusion equations with the KPP type nonlinearity which describes propagation of pressure driven flames. It is known that the system admits a family of travelingâ€¦ (More)

- Anna Ghazaryan, Stephen Schecter, Peter L. Simon
- SIAM Journal of Applied Mathematics
- 2013

For a model of gasless combustion with heat loss, we use geometric singular perturbation theory to show existence of traveling combustion fronts. We show that the fronts are nonlinearly stable in anâ€¦ (More)