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- Rafael D. Benguria, M. Cristina Depassier, V Haikala
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2007

We give an explicit formula for the change of speed of pushed and bistable fronts of the reaction-diffusion equation when a small cutoff is applied to the reaction term at the unstable or metastableâ€¦ (More)

- Rafael D. Benguria, M. Cristina Depassier, VicenÃ§ MÃ©ndez
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2004

We study the minimal speed of propagating fronts of convection-reaction-diffusion equations of the form u(t)+microphi(u)u(x)=u(xx)+f(u) for positive reaction terms with f(')(0)>0. The function phi(u)â€¦ (More)

We give an integral variational characterization for the speed of fronts of the nonlinear diffusion equation ut = uxx + f(u) with f(0) = f(1) = 0, and f > 0 in (0, 1), which permits, in principle,â€¦ (More)

- Rafael D. Benguria, M. Cristina Depassier
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2007

We study the effect of a small cutoff epsilon on the velocity of a pulled front in one dimension by means of a variational principle. We obtain a lower bound on the speed dependent on the cutoff, forâ€¦ (More)

We give a method for finding bounds for the lowest eigenvalue of nonlinear elliptic equations with monotone, local, nonlinearities. This is an extension to nonlinear problems of Barta's method forâ€¦ (More)

We study the dynamics of the equation obtained by Schryer and Walker for the motion of domain walls. The reduced equation is a reaction diffusion equation for the angle between the applied field andâ€¦ (More)

The 1D nonlinear diffusion equation has been used to model a variety of phenomena in different fields, e.g. population dynamics, flame propagation, combustion theory, chemical kinetics and manyâ€¦ (More)

- M. Cristina Depassier, J. Mura
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2001

We study limit cycles of nonlinear oscillators described by the equation x + nuF(x) + x = 0 with F an odd function. Depending on the nonlinearity, this equation may exhibit one or more limit cycles.â€¦ (More)

- Rafael D. Benguria, M. Cristina Depassier
- Physical review. E, Statistical physics, plasmasâ€¦
- 1999

We show that the amplitude of the limit cycle of Rayleigh's equation can be obtained from a variational principle. We use this principle to reobtain the asymptotic values for the period and amplitudeâ€¦ (More)