A nonlinear problem occuring in water purification in aerated activated carbon biofilters

Water purification by sulfide-containing activated carbon.

We investigated a new kind of activated carbon named gaiasafe-Formstoff as an agent for powerful heavy metal reduction. This activated carbon contains highly dispersed sulfide compounds. Our investigations with lead containing wastewaters showed an outstanding metal sulfide precipitation power of the new agent. The lead reduction rates are independent of wastewater parameters like lead concentr...

Treatment of landfill leachate with aerated and non-aerated submerged biofilters.

A submerged biological filter packed with clayey schists from brick industrial waste as support material was used to treat landfill leachate. The pilot-scale plant consisted of two separated reactors, running in aerated and non-aerated conditions respectively. The leachate was taken from a landfill in Granada (southeast Spain) and was considered as partially stabilized with average chemical oxy...

On Nonlinear Water Waves in a Channel

On the Cauchy problem for a nonlocal, nonlinear Schrödinger equation occuring in plasma Physics

In this work, our goal is to study the Cauchy problem for some generalization of the following system. { iφt + ∆φ = −div(|∇ψ|2∇ψ), ∆ψ = φ. In particular we shall construct solutions in the energy space associated to this system. We give some sufficient conditions on the initial data which ensure that the solutions are global, but we show that in some cases, finite time blow up occures. ∗This wo...

Probabilistic approximation of a nonlinear parabolic equation occuring in rheology

In this paper, we are interested in a nonlinear parabolic evolution equation occuring in rheology. We give a probabilistic interpretation to this equation by associating a nonlinear martingale problem with it. We prove existence of a unique solution P to this martingale problem. For any t, the time-marginal at time t of P admits a density ρ(t, x) with respect to the Lebesgue measure and the fun...