# Publications

- L. M. Faria, A. R. Kasimov, R. R. Rosales, Study of a model equation in detonation theory: multidimensional effects, (to appear in SIAM J. Applied Maths) Free arXiv preprint.
- A. Kasimov, L. Faria, R. Rosales, On a theoretical prediction of the dynamics of pulsating and cellular detonations in gases, (submitted)
- A. Kasimov, R. Semenko, On modeling gaseous detonation in porous media by the one-dimensional reactive Euler equations, (submitted)
- L. Faria, A. Kasimov, R.R. Rosales, Theory of weakly nonlinear self-sustained detonations, Journal of Fluid Mechanics, 784, 163-198, 2015. Free arXiv preprint.
- R. Semenko, L. Faria, A. Kasimov, B. Ermolaev, Set-valued solutions for non-ideal detonation, Shock Waves. Free arXiv preprint.
- J. Sierra, A. Kasimov, P. Markowich, R.-M. Weishäupl, On the Gross-Pitaevskii equation with pumping and decay: stationary states and their stability, Journal of Nonlinear Science, 25(3), 709-739, 2015. Free arXiv preprint.
- A. Kasimov, Detonation analogs revisited, Proceedings of the 25th ICDERS, Leeds, UK, 2015.
- L. Faria, A. Kasimov, R. R. Rosales, A toy model for multi-dimensional cellular detonations, Proceedings of the 25th ICDERS, Leeds, UK, 2015.
- L. Faria, A. Kasimov, R. R. Rosales, Weakly nonlinear dissipative detonations, Proceedings of the 25th ICDERS, Leeds, UK, 2015.
- L. Faria, A. Kasimov, Qualitative modeling of the dynamics of detonations with losses, Proceedings of the Combustion Institute, 2015. Free arXiv preprint.
- A. Kasimov, S. Korneev, Detonation in supersonic radial outflow, Journal of Fluid Mechanics, 760, 313-341, 2014 (PDF).
- L. Faria, A. Kasimov, R.R. Rosales, Study of a model equation in detonation theory, SIAM Journal on Applied Mathematics, 74(2), 547–570, 2014. Free arXiv preprint.
- L. M. Faria, A. R. Kasimov, R. R. Rosales, From Zel'dovich-von Neumann-Doering model to theories of pulsating and cellular detonations,
*Proceedings of the 3rd International Conference on Combustion and Detonation ``Zel'dovich Memorial", Moscow, Russia, 2014.* - A. R. Kasimov, S. Korneev, Detonation in supersonic radial outflow,
*Proceedings of the 21st International Conference on Nonlinear Problems of Hydrodynamic Stability and Turbulence, Moscow State University, Russia, 2014* - R. Parshad, M. Beauregard, A. Kasimov, B. Said-Houari, Global existence and finite-time blowup in a class of stochastic nonlinear wave equations, Communications in Stochastic Analysis, 8(3), 381-411, 2014
- R. Parshad, N. Kumari, A. Kasimov, H. Ait Abderrrhamane, Long-time behavior and the Turing instability in a diffusive three-species food-chain model, Mathematical Biosciences, 254, 83-102, 2014
- A. Kasimov, R. Racke, and B. Said-Houari, Global existence and decay of solutions of the Cauchy problem in thermoelasticity with second sound, Applicable Analysis, 2013.
- B. Said-Houari, A. Kasimov, Damping by heat conduction in the Timoshenko system: Fourier and Cattaneo are the same, Journal of Differential Equations, 255(4), 611-632, 2013.
- B. Seibold, M. Flynn, A. Kasimov, R. Rosales, Constructing set-valued fundamental diagrams from Jamiton solutions in second order traffic models. Special issue of Networks and Heterogeneous Media, 8(3), 745-772, 2013. Free arXiv preprint.
- A. Kasimov, L. Faria, R.R. Rosales, Model for shock wave chaos, Physical Review Letters, 110, 104104, 2013. Free arXiv preprint.
- B. Said-Houari and A. Kasimov, Decay property of Timoshenko system in thermoelasticity, Mathematical Methods in the Applied Sciences, 35, 314–333, 2012.
- M. R. Flynn, A. R. Kasimov, J.-C. Nave, R.R. Rosales, B. Seibold, Self-sustained nonlinear waves in traffic flow, Physical Review E, 79, 056113, 2009. Free arXiv preprint.
- B. Taylor, A. R. Kasimov, D.S. Stewart, Mode selection in weakly unstable two-dimensional detonations, Combustion Theory and Modelling, 13:6, 973-992, 2009. (PDF).
- M. R. Flynn, A. R. Kasimov, J.-C. Nave, R. R. Rosales, B. Seibold, On jamitons, self-sustained nonlinear traffic waves, Free arXiv preprint.
- A. R. Kasimov, A stationary circular hydraulic jump, the limits of its existence and its gasdynamic analogue, Journal of Fluid Mechanics, 601, 189-198, 2008. (PDF).
- D. S. Stewart and A. R. Kasimov, State of detonation stability theory and its application to propulsion, Journal of Propulsion and Power, 22, No. 6, 1230-1244, 2006. (PDF).
- D. S. Stewart and A. R. Kasimov, Theory of detonation with an embedded sonic locus, SIAM Journal on Applied Mathematics, 66, No. 2, 384-407, 2005. (PDF).
- A. R. Kasimov and D. S. Stewart, Asymptotic theory of evolution and failure of self-sustained detonations, Journal of Fluid Mechanics, 525, 161-192, 2005. (PDF).
- A. R. Kasimov and D. S. Stewart, On the dynamics of self-sustained detonations: A numerical study in the shock-attached frame, Physics of Fluids, 16(10), 3566-3578, 2004. (PDF).
- A. R. Kasimov and D. S. Stewart, Theory of detonation initiation and comparison with experiment, TAM Report 1035, Theoretical & Applied Mechanics, UIUC, 2004. (PDF).
- A. R. Kasimov and D. S. Stewart, Spinning instability of gaseous detonations, Journal of Fluid Mechanics, 466, 179-203, 2002. (PDF).
- A.A. Borisov, O.I. Mel'nichuk, A.R. Kasimov, B.A. Khasainov, K.Ya. Troshin, and V. Kosenkov, On the energy evolution in gaseous detonation waves, Journal de Physique IV, C4, Vol. 5, 1995. Free, possibly, from HAL archives.