A global variational structure and propagation of disturbances in reaction-diffusion systems of gradient type

60 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Linear vs. nonlinear selection for the propagation speed of the solutions of scalar reaction‐diffusion equations invading an unstable equilibrium (2004, background): “Such problems have recently been addressed in [ 22 ], where the generalization of the functional from equation (2.13) was used to study questions of propagation and convergence to traveling wave solutions for reaction-diffusion systems of gradient type in cylinders in a very general setting.”
Spreading and Vanishing for a Monostable Reaction–Diffusion Equation with Forced Speed (2018, background): “1 is closely related to the energy approach introduced in [16] and used in several papers to prove convergence to travelling wave solutions [12, 19, 20, 21, 25].”