Breathe

If you understand the challenges that are encripted in this short description below, you are a true engineer -does not matter if your background is Mechanical, Electrical,Civil (infact if you are an engineer it is assumed that your strongest subject is Math)..if you do not appreciate what follows below then you are just another ordinary boy/girl with a degree in hand!!

At least Wiki the colored words and strengthen your Math.

So here's the passage

The talk is devoted to the investigation of the initial value problem for linearized Euler equations utilizing an idealized one-reaction detonation model in the case of three-dimensional perturbations in a circular pipe. The problem is solved using the Laplace transform in time, Fourier series in the azimuthal angle, and expansion into Bessel's functions of the radial variable. For each radial and azimuthal mode, the inverse Laplace transform can be presented as an expansion of the solution into the normal modes of discrete and continuous spectra. The dispersion relation for the discrete spectrum requires solving the homogeneous ordinary differential equations for the adjoint system and evaluation of an integral through the reaction zone. The solution of the initial-value problem gives a convenient tool for analysis of the flow receptivity to various types of perturbations in the reaction zone and in the quiescent gas.

Btw this was one of friends thesis abstract, he is defending soon..I wish him good luck!!

And the title is breathe...because all the qualifying PHD question papers have BREATHE as a watermark