The existence of a mixed type solution for an arbitrary configuration of vortex points has been a long-standing open problem.
Having obtained the late time stagnation point flow equation, a self-similar solution is sought by posing a separation type solution form.
A wide range of boundary conditions are analysed by using a Levy type solution.
Because of the extreme difficulty experienced in finding solutions of the Euler equations for other cases, a Galerkin type solution is used to obtain approximate eigenvalues.
The principle of virtual work is used to derive the governing equations which are solved analytically using a Navier type solution technique.
Utilizing the superposition method, an analytical type solution is obtained for the free vibration eigenvalues and mode shapes of a cantilever plate with step discontinuities in plate properties.
We need a Marshall-Plan type solution, not a multitude of micro initiatives.
Writers should be making more of an effort to write interesting parts for actors of colour that defy stereotypes, or implementing a Geena Davis type solution (simply change any character in a script into a woman) for race.
It is shown that the current approximate analysis, which is essentially one dimensional, provides a simple, engineering type, solution that agrees with FEM results to within about 5%.
Numerical simulations are given, which show that the fractional Burgers model preserves the basic property that a shock wave type solution can be found.
Utilizing the superposition method an accurate analytical type solution is obtained for the free vibration frequencies and mode shapes of multi-span bridge decks.
