Kisiel, Konrad and Kosiba, Kamil (2016) Dynamical poroplasticity model with mixed boundary conditions - theory for LM-type nonlinearity. Journal of Mathematical Analysis and Applications, 443 (1). pp. 187-229.

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Abstract

We investigate the existence theory to the non-coercive fully dynamic model of poroplasticity with nonhomogeneous mixed boundary condition and constitutive equation which belongs to the class LM. Existence of the solution to this model is proved by using the coercive and Yosida approximations under the lowest possible assumptions about LM-type nonlinearity of non-gradient type. Under higher assumptions about the constitutive equation and boundary conditions (see Section 7) we obtain uniqueness and higher regularity of the solutions.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Monotone operators
Journal or Publication Title:	Journal of Mathematical Analysis and Applications
Publisher:	Academic Press
ISSN:	0022-247X
Official Date:	1 November 2016
Dates:	Date Event 1 November 2016 Published 19 May 2016 Available 5 May 2016 Accepted 19 April 2016 Submitted
Date of first compliant deposit:	23 September 2016
Volume:	443
Number:	1
Page Range:	pp. 187-229
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access

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