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Stress L ∞ ‐estimates and the uniqueness problem for the equations to the model of Bodner–Partom in the two‐dimensional case
Author(s) -
Chełmiński Krzysztof
Publication year - 1998
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19980110)21:1<43::aid-mma932>3.0.co;2-w
Subject(s) - mathematics , uniqueness , mathematical analysis , stress (linguistics) , calculus (dental) , medicine , philosophy , linguistics , dentistry
This paper is a continuation of the work [9]. We prove the uniqueness result for global in time large solutions of dynamic equations to an inelastic model of material behaviour of metals in the two‐dimensional case, provided a higher regularity of the solutions. Moreover, the p ‐stability for p <2 of the solutions in the case of homogeneous boundary data is established. © 1998 by B. G. Teubner Stuttgart–John Wiley & Sons Ltd.