Zobrazeno 1 - 10
of 93
pro vyhledávání: '"Rosales, Rodolfo R."'
Publikováno v:
Phys. Rev. E 103, 062215 (2021)
A discrete and periodic complex Ginzburg-Landau equation, coupled to a discrete mean equation, is systematically derived from a driven and dissipative oscillator model, close to the onset of a supercritical Hopf bifurcation. The oscillator model is i
Externí odkaz:
http://arxiv.org/abs/2010.12655
Publikováno v:
Proc. Roy. Soc. A, 476, 2239 (2020)
Recent experiments show that quasi-one-dimensional lattices of self-propelled droplets exhibit collective instabilities in the form of out-of-phase oscillations and solitary-like waves. This hydrodynamic lattice is driven by the external forcing of a
Externí odkaz:
http://arxiv.org/abs/2003.02220
Autor:
Faria, Luiz M., Rosales, Rodolfo R.
We introduce an alternative to the method of matched asymptotic expansions. In the "traditional" implementation, approximate solutions, valid in different (but overlapping) regions are matched by using "intermediate" variables. Here we propose to mat
Externí odkaz:
http://arxiv.org/abs/1701.05882
Akademický článek
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We extend the reactive Burgers equation presented in Kasimov et al. Phys. Rev. Lett., 110 (2013) and Faria et al. SIAM J. Appl. Maths, 74 (2014), to include multidimensional effects. Furthermore, we explain how the model can be rationally justified f
Externí odkaz:
http://arxiv.org/abs/1512.07503
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 equations can be reduced to a model consisting of a forced, uns
Externí odkaz:
http://arxiv.org/abs/1407.8466
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. Physical Review Letters, 110(10):104104, 2013]. The e
Externí odkaz:
http://arxiv.org/abs/1309.5080
We propose the following model equation: \[u_{t}+1/2(u^{2}-uu_{s})_{x}=f(x,u_{s}), \] that predicts chaotic shock waves. It is given on the half-line $x<0$ and the shock is located at $x=0$ for any $t\ge0$. Here $u_{s}(t)$ is the shock state and the
Externí odkaz:
http://arxiv.org/abs/1202.2989
Autor:
Flynn, Morris R., Kasimov, Aslan R., Nave, Jean-Christophe, Rosales, Rodolfo R., Seibold, Benjamin
Publikováno v:
Phys. Rev. E, Vol. 79, No. 5, 2009, pp. 056113
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, termed "jamitons," to the hyperbolic ("inviscid") continuum traffic equations. Ge
Externí odkaz:
http://arxiv.org/abs/0810.2820
Autor:
Fok, Pak-Wing, Rosales, Rodolfo R.
We present a multirate method that is particularly suited for integrating the systems of Ordinary Differential Equations (ODEs) that arise in step models of surface evolution. The surface of a crystal lattice, that is slightly miscut from a plane of
Externí odkaz:
http://arxiv.org/abs/0810.2517