30 citations · 31 across the 5 of their papers we have counts for
5 papers
Lower bounds on blowing-up solutions of the 3D Navier--Stokes equations in , , and
David S. McCormick, Eric J. Olson, James C. Robinson +3
If is a smooth solution of the Navier--Stokes equations on with first blowup time , we prove lower bounds for in the Sobolev spaces , $\dot…
A complete characterisation of local existence for semilinear heat equations in Lebesgue spaces
Robert Laister, James C. Robinson, Mikolaj Sierzega +1
We consider the scalar semilinear heat equation , where is continuous and non-decreasing but need not be convex. We completely charact…
Minimal periods of semilinear evolution equations with Lipschitz nonlinearity revisited
James C. Robinson, Alejandro Vidal-López
We obtain a lower bound for the period of periodic solutions of semilinear evolution equations for the full range of nonlinear terms for which standard local existence theory appli…
A note on the existence of global solutions for reaction-diffusion equations with almost-monotonic nonlinearities
Aníbal Rodríguez-Bernal, Alejandro Vidal-López
We show that reaction-diffusion equations with almost-monotonic nonlinear terms are well-posed in for each and the solutions are globally defined.
Nonlinear balance and asymptotic behavior of supercritical reaction-diffusion equations with nonlinear boundary conditions
Aníbal Rodríguez-Bernal, Alejandro Vidal-López
We construct solutions of nonlinear reaction-diffusion equations with nonlinear boundary conditions in spaces where the problem is supercritical and show the nonlinear balance requ…