✦ LIBER ✦

On global stability in distributed parameter systems

✍ Scribed by Dan Luss; James C.M. Lee

Publisher: Elsevier Science
Year: 1968
Tongue: English
Weight: 860 KB
Volume: 23
Category: Article
ISSN: 0009-2509
DOI: 10.1016/0009-2509(68)89033-5

No coin nor oath required. For personal study only.

✦ Synopsis

A method 1s presented for determmmg fimte stabdlty regons for dlstnbuted parameter systems whose transient behavior IS governed by a smgle parabolic dlfferentlal equation The case of an a&abatlc catalytic reactlon IS &scussed m detad However, the same techmques can be apphed to many other systems m which chemical reacttons and dlffuslon are coupled The method 1s based on the maxlmum pnncrple for parabohc partial drfferentlal equations It 1s shown that fimte regions of stabdlty can be determined unmedlately from the knowledge of the steady state profiles, without havmg to perform any ad&tlonal computations A dIscussIon 1s included of the case m which the transient behavior 1s governed by two coupled partml differential equations

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