We solve the St. Venant torsion problem for an infinite cylindrical rod whose behaviour is described by a family of isotropic generalized continua, including relaxed micromorphic and classical model. The results can be used to determine material parameters these models. Special attention given possible nonphysical stiffness singularity vanishing diameter, because slender specimens are, in gener...

We study tracking control for a nonlinear moving water tank system modelled by the linearized Saint-Venant equations, where output is given position of and input force acting on it. For reference signal, objective that error evolves within pre-specified performance funnel. Exploiting recent results in funnel control, this can be achieved showing inter alia system's internal dynamics are bounded...

We prove existence and asymptotic stability of the stationary solution for compressible Navier-Stokes equations isentropic gas dynamics with a density dependent diffusion in bounded interval. present necessary conditions to be imposed on boundary data which ensure uniqueness steady state, we subsequent investigate its properties by means construction suitable Lyapunov functional system. The Sai...

Gas exchange processes of internal combustion engines have an important effect on engine performances, emissions of pollutants and noise. To control the engine output torque by the intake airflow restriction, a throttle valve must be installed between the air cleaner and the intake manifold. Due to the complex nature of this unit geometry and the resulting flow field, a 3D flow model would be i...