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Behavior of critical solutions of a nonlocal hyperbolic problem in Ohmic heating of foods
Zografou Campus, GRC.ORCID iD: 0000-0002-9743-8636
Zografou Campus, GRC.
2002 (English)In: Applied Mathematical E-Notes, Vol. 2, p. 59-65Article in journal (Refereed) Published
Abstract [en]

We study the global existence and divergence of some "critical" solutions u*(cursive Greek chi, t) of a nonlocal hyperbolic problem modeling Ohmic heating of foods. Using comparison methods, we prove that "critical" solutions of our problem diverge globally and uniformly with respect to the space-variable as t → ∞. Also, some estimates of the rate of the divergence are given

Place, publisher, year, edition, pages
Elsevier, 2002. Vol. 2, p. 59-65
National Category
Mathematical Analysis
Research subject
Mathematics
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URN: urn:nbn:se:kau:diva-88720Scopus ID: 2-s2.0-3042528542OAI: oai:DiVA.org:kau-88720DiVA, id: diva2:1639937
Available from: 2022-02-22 Created: 2022-02-22 Last updated: 2022-11-21Bibliographically approved

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Kavallaris, Nikos I.

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