Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Vidal-López, Alejandro"'
Autor:
McCormick, David S., Olson, Eric J., Robinson, James C., Rodrigo, Jose L., Vidal-Lopez, Alejandro, Zhou, Yi
If $u$ is a smooth solution of the Navier--Stokes equations on ${\mathbb R}^3$ with first blowup time $T$, we prove lower bounds for $u$ in the Sobolev spaces $\dot H^{3/2}$, $\dot H^{5/2}$, and the Besov space $\dot B^{5/2}_{2,1}$, with optimal rate
Externí odkaz:
http://arxiv.org/abs/1503.04323
Publikováno v:
Annales de l'Institut Henri Poincar\'e - Analyse Non-Lin\'eaire, 33 (6). pp. 1519-1538 (2016)
We consider the scalar semilinear heat equation $u_t-\Delta u=f(u)$, where $f\colon[0,\infty)\to[0,\infty)$ is continuous and non-decreasing but need not be convex. We completely characterise those functions $f$ for which the equation has a local sol
Externí odkaz:
http://arxiv.org/abs/1407.2444
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 applies. This lower bound depends on the Lipschitz constant of the nonlinea
Externí odkaz:
http://arxiv.org/abs/1212.5145
We show that reaction-diffusion equations with almost-monotonic nonlinear terms are well-posed in $L^q(\Omega)$ for each $1\leq q < \infty$ and the solutions are globally defined.
Externí odkaz:
http://arxiv.org/abs/1212.2826
Publikováno v:
In Journal of Differential Equations 15 August 2019 267(5):2687-2736
We construct solutions of nonlinear reaction-diffusion equations with nonlinear boundary conditions in spaces where the problem is supercritical and show the nonlinear balance required between the nonlinear terms in order to obtain a dissipative syst
Externí odkaz:
http://arxiv.org/abs/1205.4523
Publikováno v:
In Journal of Differential Equations 1 June 2013 254(11):4279-4289
Publikováno v:
In Journal of Mathematical Analysis and Applications 2008 338(1):675-694
Publikováno v:
In Journal of Differential Equations 2008 244(12):2983-3030
Autor:
Robinson, James C. *, Vidal-López, Alejandro
Publikováno v:
In Journal of Differential Equations 2006 220(2):396-406