Abstract Computational fluid dynamics (CFD) simulations are a vital part of the design process in aerospace industry. Although reliable CFD results can be obtained with turbulence models, direct numerical simulation complex bodies three spatial dimensions (3D) is impracticable due to massive amount computational elements. For instance, 3D turbulent boundary-layer over wing commercial jetliner t...

The SBV regularity of weak entropy solutions to the Burgers-Poisson equation for initial data in L 1 ( R ) is considered. We show that derivative a solution consists only absolutely continuous part and jump part.

The aim of this study is to provide the modeling and exact analytic solutions for hydromagnetic oscillatory rotating flows of an incompressible Burgers’ fluid bounded by a plate. The governing time-dependent equation for the Burgers’ fluid is different than those from the NavierStokes’ equation. The entire system is assumed to rotate around an axis normal to the plate. The governing equations f...

The fluid-particle interaction model introduced by the three last authors in [J. Differential Equations, 245 (2008), pp. 3503–3544] is the object of our study. This system consists of the Burgers equation with a singular source term (term that models the interaction via a drag force with a moving point particle) and of an ODE for the particle path. The notion of entropy solution for the singula...