Abstract: This paper studies the problem of output feedback stabilization of a nonlinear diffusion equation, generally referred to as the generalized porous media equation. This equation occurs in a ...

The irregular, swirling motion of fluids we call turbulence can be found everywhere, from stirring in a teacup to currents in ...

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from water pressure to oxygen levels in human tissues.

Abstract: This study aims to develop positivity-preserving techniques to solve the steady neutron transport equation for a heterogeneous planar slab. Positivity-preserving properties are important and ...