In literature, it is usually very difficult to investigate the analytical and numerical solutions of
fractional integro-differential equations (FIDEs). In the current work, the solutions to linear …

We consider the three-dimensional magnetohydrodynamics (MHD) equations in the
presence of a spatially degenerate stochastic forcing as a model for magnetostrophic …

We consider a general class of non-diffusive active scalar equations with constitutive laws
obtained via an operator T that is singular of order r 0∈[0, 2]. For r 0∈(0, 1] we prove well …

This paper considers a family of non-diffusive active scalar equations where a viscosity type
parameter enters the equations via the constitutive law that relates the drift velocity with the …

We investigate the properties of an abstract family of advection diffusion equations in the
context of the fractional Laplacian. Two independent diffusion parameters enter the system …

We prove the global existence of classical solutions to a class of forced drift-diffusion
equations with L^ 2 L 2 initial data and divergence free drift velocity {u^ ν\} _ ν _ ≥ 0 ⊂ L^ ∞ …

1 Background The floor slab system utilized in a structure differs according to the intended
function of the area, financial constraints, and architectural specifications. The SNI 2847 …

The purpose is to apply the multifractal analysis method to the research of human
physiology in the process of sports. The mass index spectrum is used for multifractal …

Throughout her career, Friedlander has focused on the mathematical analysis of partial
differential equations (PDEs) arising in fluid dynamics. While the fundamental models are …

Many equations that model fluid behaviour are derived from systems that encompass
multiple physical forces. When the equations are written in non dimensional form …