Reaction-diffusion inequalities in cones

Trace Hardy–sobolev Inequalities in Cones

Sharp constants are found for the trace Hardy–Sobolev inequalities in cones. The question as to whether these constants are attained is discussed. §

Existence of Global Solutions in Time for Reaction-Diffusion Systems with Inhomogeneous Terms in Cones

We consider nonnegative solutions of the initial-boundary value problems in cone domains for the reaction-diffusion systems with inhomogeneous terms dependent on space coordinates and times. In our previous paper the conditions for the nonexistence of global solutions in time were shown. In this paper we show the condition of existence of global solutions in time.

Nonexistence of Global Solutions in Time for Reaction-Diffusion Systems with Inhomogeneous Terms in Cones

We consider initial-boundary value problems for the reaction-diffusion systems with inhomogeneous terms in cones. In this paper we show the nonexistence of global solutions of the problems in time. Keyword and Phrases: reaction-diffusion, global nonexistence, inhomogeneous term, cone. AMS subject classifications: 35K45, 35K57.

Single walled carbon nanotube in the reaction layer of gas diffusion electrode for oxygen reduction reaction

In this paper, the effect of surface area of reaction layers in gas diffusion electrodes on oxygen reduction reaction was investigated. For this purpose, various amounts (0.1, 0.2, 0.3, 0.4, 0.5, 1, 1.5 and zero %wt of total loading of reaction layer) of single walled carbon nanotube (SWCNT) were inserted in the reaction layer. The performance of gas diffusion electrodes for oxygen reduction re...

Pattern formation in reaction-diffusion and reaction-diffusion-convection systems