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Dynamical poroplasticity model with mixed boundary conditions - theory for LM-type nonlinearity
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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. ISSN 0022-247X.
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Official URL: http://dx.doi.org/10.1016/j.jmaa.2016.05.013
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 | ||||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > 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: |
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Volume: | 443 | ||||||||||
Number: | 1 | ||||||||||
Page Range: | pp. 187-229 | ||||||||||
Status: | Peer Reviewed | ||||||||||
Publication Status: | Published | ||||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||||
Date of first compliant deposit: | 23 September 2016 | ||||||||||
Date of first compliant Open Access: | 19 May 2017 |
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