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- Aslan R. Kasimov, Luiz M. Faria, R. R. Rosales
- Physical review letters
- 2013

We propose the following model equation, u(t) + 1/2(u(2)-uu(s))x = f(x,u(s)) that predicts chaotic shock waves, similar to those in detonations in chemically reacting mixtures. The equation is givenâ€¦ (More)

- Luiz M. Faria, Aslan R. Kasimov, Rodolfo Ruben Rosales
- SIAM Journal of Applied Mathematics
- 2014

Here we analyze properties of an equation that we previously proposed to model the dynamics of unstable detonation waves [A. R. Kasimov, L. M. Faria, and R. R. Rosales, Model for shock wave chaos,â€¦ (More)

- Morris R. Flynn, Aslan R. Kasimov, James Nave, R. R. Rosales, B. Seibold
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2009

In analogy to gas-dynamical detonation waves, which consist of a shock with an attached exothermic reaction zone, we consider herein nonlinear traveling wave solutions to the hyperbolic ("inviscid")â€¦ (More)

- D. Scott Stewart, Aslan R. Kasimov
- SIAM Journal of Applied Mathematics
- 2005

A steady planar self-sustained detonation has a sonic surface in the reaction zone that resides behind the lead shock. In this work we address the problem of generalizing sonic conditions for aâ€¦ (More)

- Aslan R. Kasimov
- 2008

We propose a theory of a steady circular hydraulic jump based on the shallowwater model obtained from the depth-averaged Navierâ€“Stokes equations. The flow structure both upstream and downstream ofâ€¦ (More)

- Rana D. Parshad, Nitu Kumari, Aslan R. Kasimov, Hamid Ait Abderrahmane
- Mathematical biosciences
- 2014

We consider a spatially explicit three-species food chain model, describing generalist top predator-specialist middle predator-prey dynamics. We investigate the long-time dynamics of the model andâ€¦ (More)

We present an overview of the current state of detonation stability theory and discuss its implications for propulsion. The emphasis of the review is on the exact or asymptotic treatments ofâ€¦ (More)

We investigate hydrodynamic instability of a steady planar detonation wave propagating in a circular tube to three-dimensional linear perturbations, using the normal mode approach. Spinningâ€¦ (More)

We propose a theory of weakly nonlinear multi-dimensional self sustained detonations based on asymptotic analysis of the reactive compressible Navier-Stokes equations. We show that these equationsâ€¦ (More)