G. Biondini et S. Delillo, SEMILINE SOLUTIONS OF THE BURGERS-EQUATION WITH TIME-DEPENDENT FLUX AT THE ORIGIN, Physics letters. A, 220(4-5), 1996, pp. 201-204
The initial/boundary value problem for the Burgers equation on the sem
iline is solved with a flux-type boundary condition at the origin. Ana
lytic solutions and asymptotic (large time) expansions are obtained fo
r some cases of applicative relevance.