Abstract In this paper, the mixed initial-boundary value problem for inhomogeneous quasilinear strictly hyperbolic systems with nonlinear boundary conditions in the first quadrant {(t, x)| t ≥ 0, x ≥ 0} is investigated. Under the assumption that the right hand side satisfies matching condition and the system is strictly hyperbolic and weakly linearly degenerate, we obtain the global existence a...

In this paper we study a class of quasi-variational-hemivariational inequalities in reflexive Banach spaces. The contain convex potential, locally Lipschitz superpotential, and implicit obstacle set constraints. Solution existence compactness the solution to inequality problem are established based on Kakutani–Ky Fan fixed point theorem. applicability results is illustrated by steady-state Osee...

We study a Riemann problem for the unsteady transonic small disturbance equations that results in a diverging rarefaction problem. The self-similar reduction leads to a boundary value problem with equations that change type (hyperbolic-elliptic) and a sonic line that is a free boundary. We summarize the principal ideas and present the main features of the problem. The flow in the hyperbolic par...

this paper studied the mathematical method of flow with regard to two-phase boundary layer that created over the iced surface. based on experimental results, skin drag over the iced surface compared with this force that compute with slip condition. based on this results, for iced surface blasius equation solving at non-slip condition, can replace with solving the blasius equation with slip cond...

This paper discusses flow control of fluids through porous media, specifically related to its application in petroleum science. The flow of fluids is described by the Boussinesq equation with mixed boundary conditions; a Neumann boundary condition describes no flow at the outer boundary of the porous media and a nonlinear boundary condition describes the interaction between the porous media and...

Variance parameters in mixed or multilevel models can be difficult to estimate, especially when the number of groups is small. Here we address the problem that the group-level variance estimate is often on the boundary. We propose a maximum penalized likelihood approach which is equivalent to estimating the variance by its marginal posterior mode, given a weakly informative prior distribution. ...