Alejandro Vidal-L'opez

most citedLower bounds on blowing-up solutions of the 3D Navier--Stokes equations in

H ˙^{3/2}

H ˙^{5/2}

, and

B ˙_{2, 1}^{5/2}

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2015★ 1 cited

Lower bounds on blowing-up solutions of the 3D Navier--Stokes equations in $H ˙^{3/2}$ , $H ˙^{5/2}$ , and $B ˙_{2, 1}^{5/2}$

David S. McCormick, Eric J. Olson, James C. Robinson +3

If $u$ is a smooth solution of the Navier--Stokes equations on $R^{3}$ with first blowup time $T$ , we prove lower bounds for $u$ in the Sobolev spaces $H ˙^{3/2}$ , $\dot…

math.AP2012

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…

math.AP2012

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 $L^{q} (Ω)$ for each $1 \leq q < \infty$ and the solutions are globally defined.

Lower bounds on blowing-up solutions of the 3D Navier--Stokes equations in H˙3/2, H˙5/2, and B˙2,15/2​

Minimal periods of semilinear evolution equations with Lipschitz nonlinearity revisited

A note on the existence of global solutions for reaction-diffusion equations with almost-monotonic nonlinearities

Lower bounds on blowing-up solutions of the 3D Navier--Stokes equations in $H ˙^{3/2}$ , $H ˙^{5/2}$ , and $B ˙_{2, 1}^{5/2}$