## Abstract

The mathematical description of adsorption of a gas flowing along a given velocity field ∀H through a bounded C^{1}-domain G in R^{n} 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 L^{p} 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) |
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Pages (from-to) | 483-500 |

Number of pages | 18 |

Journal | Differential and Integral Equations |

Volume | 7 |

Issue number | 2 |

State | Published - Mar 1994 |

Externally published | Yes |

## ASJC Scopus subject areas

- Analysis
- Applied Mathematics

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