10 citations · 23 across the 15 of their papers we have counts for
4 papers · 1 filter
Asymmetric and Moving-Frame Approaches to the 2D and 3D Boussinesq Equations
Xiaoping Xu
Boussinesq systems of nonlinear partial differential equations are fundamental equations in geophysical fluid dynamics. In this paper, we use asymmetric ideas and moving frames to…
Stable-Range Approach to the Equation of Nonstationary Transonic Gas Flows
Xiaoping Xu
Using certain finite-dimensional stable range of the nonlinear terms, we obtain large families of exact solutions parameterized by functions for the equation of nonstationary trans…
New Algebraic Approaches to Classical Boundary Layer Problems
Xiaoping Xu
In this paper, we use various ansatzes with undetermined functions and the technique of moving frame to find solutions with parameter functions modulo the Lie point symmetries for…
Asymmetric and Moving-Frame Approaches to Navier-Stokes Equations
Xiaoping Xu
In this paper, we introduce a method of imposing asymmetric conditions on the velocity vector with respect to independent variables and a method of moving frame for solving the thr…