Layer-type Problems. Partial Differential Equations
We have seen in Chapter II that even restricting ourselves to a few relatively simple-looking ordinary differential equations we get a great variety of types of expansions when applying singular perturbation techniques. Also, as seen in Chapter II, Section 4, replacing the middle term in eu″ + u x — u = 0 by the quasi-linear term uu x greatly increases the variety of solutions for two-point boundary value problems. Obviously, we expect the variety of solutions and the techniques necessary to be very large when we consider partial differential equations.
KeywordsReynolds Number Partial Differential Equation Stokes Equation Outer Solution Free Layer
Unable to display preview. Download preview PDF.