Event Details
Título: Travelling-wave behaviour in doubly nonlinear reaction-diffusion equations.
Impartida por: Alejandro Garriz Molina.
Fecha: 23 de Junio de 2021 de 12:00 a 13:00.
Resumen: We study a family of reaction-diffusion equations that present a doubly nonlinear character given by a combination of the p-Laplacian and the porous medium operators, a problem with applications in fields as diverse as biology, chemistry or sociology. Problems in this family have a unique travelling wave with a finite front. and when the initial datum is bounded, radially symmetric and compactly supported, we will prove that solutions converging to 1 do so by approaching a translation of this unique travelling wave in the radial direction, but with a logarithmic correction in the position of the front. Most of our results are new even for the special cases of the porous medium equation and the p-Laplacian evolution equation.
Link de la reunión: https://meet.google.com/yrc-wpte-dbj
Impartida por: Alejandro Garriz Molina.
Fecha: 23 de Junio de 2021 de 12:00 a 13:00.
Resumen: We study a family of reaction-diffusion equations that present a doubly nonlinear character given by a combination of the p-Laplacian and the porous medium operators, a problem with applications in fields as diverse as biology, chemistry or sociology. Problems in this family have a unique travelling wave with a finite front. and when the initial datum is bounded, radially symmetric and compactly supported, we will prove that solutions converging to 1 do so by approaching a translation of this unique travelling wave in the radial direction, but with a logarithmic correction in the position of the front. Most of our results are new even for the special cases of the porous medium equation and the p-Laplacian evolution equation.
Link de la reunión: https://meet.google.com/yrc-wpte-dbj
