The mathematical description of adsorption of a gas flowing along a given velocity field ∀H through a bounded C1-domain G in Rn filled by an adsorbing material leads to the system of PDE’s for the unknown functions where the gradient is with respect to x, ε is a given positive parameter, the values of a are specified at t = 0, and certain boundary conditions are fixed for u on the boundary of G. It is shown that the Cauchy-boundary-value problem is well posed in the Lp spaces, and the regularity properties of a solution are studied. We also show that the solution of (*) converges to the solution of at+ ∀H · ∀(g(a)) = 0 as ε ↓ 0.
|Original language||English (US)|
|Number of pages||18|
|Journal||Differential and Integral Equations|
|State||Published - Mar 1994|
ASJC Scopus subject areas
- Applied Mathematics