In this paper, we have defined the free boundary formulation for two extended Blasius problems. These problems are of interest in layer theory and deduced from governing partial differential equations by using appropriate similarity variables. The computed results, so-called missing initial condition, favorably compared with recent results available literature.

We are concerned with global solutions of multidimensional (M-D) Riemann problems for nonlinear hyperbolic systems conservation laws, focusing on their configurations and structures. present some recent developments in the rigorous analysis two-dimensional (2-D) involving transonic shock waves through several prototypes laws discuss further M-D related partial differential equations. In particu...

We are concerned with free boundary problems arising from the analysis of multidimensional transonic shock waves for Euler equations in compressible fluid dynamics. In this expository paper, we survey some recent developments and corresponding related nonlinear partial differential (PDEs) mixed type. The PDEs under our include steady potential flow, full equations, unsteady elliptic–hyperbolic ...

We develop an existence and regularity theory for a class of degenerate one-phase free boundary problems. In this way we unify the basic theories in problems like classical one-ph...