Non-steady flow of second-order fluids. Here
represents the velocity of the fluid. Mixed boundary conditions are posed.
2. Theory of seepage of homogenous fluids through
a fissured rock. Here
is a charcteristic of the fissured rock (increasing
corresponds to a decreasing degree of fissuring.
3. A model for heat conduction with a thermodynamic
and a conductive temperature .
(cf. Zeitschrift für Angewandte Math. Phys. 19 (1968) 614-627 (Chen
4. Benjamin-Bona-Mahony-Burgers equation.
This type of equations is called pseudoparabolic which was introduced
by R.E. Showalter and T.W. Ting in 1970, because well-posed initial-boundary-value
problems for parabolic equations remain well-posed also for Sobolev-Galpern
we get a class of parabolic equations.
A late Reference: G. Karch: Asymptotic Behaviour of Solutions to some Pseudoparabolic Equations, MMAS, 20, 3, 271-289 (1997).