Organic photodetectors with solution-processed all small-molecular bulk heterojunction layers detect near UV light and are stable under high-intensity lights stronger than sun light.

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We show the existence of nontrivial stationary weak solutions to the surface quasi-geostrophic equations on the two dimensional periodic torus.

Consider the Cauchy problem of incompressible Navier-Stokes equations in R 3 with uniformly locally square integrable initial data. If the square integral of the initial datum on a ball vanishes as the ball goes to infinity, the existence of a time-global weak solution has been known. However, such data do not include constants, and the only known global solutions for non-decaying data are either for perturbations of constants, or when the velocity gradients are in L p with finite p. In this paper, we construct global weak solutions for non-decaying initial data whose local oscillations decay, no matter how slowly.