Well-posedness and asymptotic behavior in reactive and electro-kinetic flow processes

Viac o knihe

This thesis investigates three systems of partial differential equations modeling certain fluidic processes from an analytical viewpoint. In the first part of this work we focus on reactive flows and consider two problems which stem from the class of semilinear reaction-diffusion-advection systems. Here we are concerned with global well-posedness as well as asymptotic behavior of solutions, when the reaction speed of a chemical reaction becomes infinite. Electro-kinetic effects in fluidic flows are the subject of the second part. In this regard a strongly coupled system of Navier-Stokes equations, electro-diffusion-advection equations and an elliptic equation is examined and we address the problem of local and global well-posedness as well as long-time behavior.