M. C. Depassier

activity

19932020

most citedThe Speed of Fronts of the Reaction Diffusion Equation

95 citations · 379 across the 28 of their papers we have counts for

collaborators

Showing 1994Show all

3 papers · 1 filter

patt-sol1994★ 54 cited

Variational Characterization of the Speed of Propagation of Fronts for the Nonlinear Diffusion Equation

R. D. Benguria, M. C. Depassier

We give an integral variational characterization for the speed of fronts of the nonlinear diffusion equation $u_{t} = u_{xx} + f (u)$ with $f (0) = f (1) = 0$ , and $f > 0$ in $(0, 1)$ , which p…

patt-sol1994★ 15 cited

New exact fronts for the nonlinear diffusion equation with quintic nonlinearities

R. D. Benguria, M. C. Depassier

We consider travelling wave solutions of the reaction diffusion equation with quintic nonlinearities $u_{t} = u_{xx} + μu (1 - u) (1 + α u + β u^{2} + γ u^{3})$ . If the parameters $α, β$ and…

patt-sol1994★ 47 cited

On the validity of the linear speed selection mechanism for fronts of the nonlinear diffusion equation

R. D. Benguria, M. C. Depassier

We consider the problem of the speed selection mechanism for the one dimensional nonlinear diffusion equation $u_{t} = u_{xx} + f (u)$ . It has been rigorously shown by Aronson and Wei…