Adsorption in ℝn

Seth F. Oppenheimer, J. A. Goldstein

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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 languageEnglish (US)
Pages (from-to)483-500
Number of pages18
JournalDifferential and Integral Equations
Issue number2
StatePublished - Mar 1994
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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