A uniqueness theorem in Blot's poroelasticity theory


Altay G., Dokmeci M.

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, cilt.49, sa.5, ss.838-846, 1998 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 5
  • Basım Tarihi: 1998
  • Doi Numarası: 10.1007/pl00001489
  • Dergi Adı: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.838-846
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

The uniqueness is investigated in a solution of the initial-mixed boundary value problems defined by the generally accepted poroelastic equations presented by Blot. The solution is shown to be unique under some boundary and initial conditions, without imposing the positive definiteness conditions of material elasticities. A theorem of uniqueness is devised on the basis of the logarithmic convexity argument.