Analysis of an Integro-differential Equation Arising from Modelling of Flows with Fading Memory Through Fissured Media

Journal Home
Volume 37 - 2024
- Vol. 37, Issue 3 pp.235-354
- Vol. 37, Issue 2 pp.121-234
- Vol. 37, Issue 1 pp.1-120
Volume 36 - 2023
- Vol. 36, Issue 4 pp.331-453
- Vol. 36, Issue 3 pp.235-330
- Vol. 36, Issue 2 pp.119-234
- Vol. 36, Issue 1 pp.1-118
Volume 35 - 2022
- Vol. 35, Issue 4 pp.307-408
- Vol. 35, Issue 3 pp.199-306
- Vol. 35, Issue 2 pp.101-198
- Vol. 35, Issue 1 pp.1-100
Volume 34 - 2021
- Vol. 34, Issue 4 pp.297-392
- Vol. 34, Issue 3 pp.201-296
- Vol. 34, Issue 2 pp.103-200
- Vol. 34, Issue 1 pp.1-102
Volume 33 - 2020
- Vol. 33, Issue 4 pp.291-394
- Vol. 33, Issue 3 pp.193-290
- Vol. 33, Issue 2 pp.93-192
- Vol. 33, Issue 1 pp.1-92
Volume 32 - 2019
- Vol. 32, Issue 4 pp.293-380
- Vol. 32, Issue 3 pp.191-292
- Vol. 32, Issue 2 pp.93-190
- Vol. 32, Issue 1 pp.1-92
Volume 31 - 2018
- Vol. 31, Issue 4 pp.291-384
- Vol. 31, Issue 3 pp.193-290
- Vol. 31, Issue 2 pp.97-192
- Vol. 31, Issue 1 pp.1-96
Volume 30 - 2017
- Vol. 30, Issue 4 pp.281-380
- Vol. 30, Issue 3 pp.189-280
- Vol. 30, Issue 2 pp.95-188
- Vol. 30, Issue 1 pp.1-94
Volume 29 - 2016
- Vol. 29, Issue 4 pp.255-359
- Vol. 29, Issue 3 pp.161-254
- Vol. 29, Issue 2 pp.89-160
- Vol. 29, Issue 1 pp.1-88
Volume 28 - 2015
- Vol. 28, Issue 4 pp.291-382
- Vol. 28, Issue 3 pp.197-290
- Vol. 28, Issue 2 pp.95-196
- Vol. 28, Issue 1 pp.1-94
Volume 27 - 2014
- Vol. 27, Issue 4 pp.283-372
- Vol. 27, Issue 3 pp.189-282
- Vol. 27, Issue 2 pp.95-188
- Vol. 27, Issue 1 pp.1-94
Volume 26 - 2013
- Vol. 26, Issue 4 pp.289-385
- Vol. 26, Issue 3 pp.193-288
- Vol. 26, Issue 2 pp.99-192
- Vol. 26, Issue 1 pp.1-98
Volume 25 - 2012
- Vol. 25, Issue 4 pp.295-387
- Vol. 25, Issue 3 pp.199-294
- Vol. 25, Issue 2 pp.103-198
- Vol. 25, Issue 1 pp.1-102
Volume 24 - 2011
- Vol. 24, Issue 4 pp.289-385
- Vol. 24, Issue 3 pp.195-288
- Vol. 24, Issue 2 pp.97-194
- Vol. 24, Issue 1 pp.1-96
Volume 23 - 2010
- Vol. 23, Issue 4 pp.305-401
- Vol. 23, Issue 3 pp.209-304
- Vol. 23, Issue 2 pp.105-208
- Vol. 23, Issue 1 pp.1-104
Volume 22 - 2009
- Vol. 22, Issue 4 pp.299-393
- Vol. 22, Issue 3 pp.199-298
- Vol. 22, Issue 2 pp.97-198
- Vol. 22, Issue 1 pp.1-96
Volume 21 - 2008
- Vol. 21, Issue 4 pp.289-383
- Vol. 21, Issue 3 pp.193-288
- Vol. 21, Issue 2 pp.97-192
- Vol. 21, Issue 1 pp.1-96
Volume 20 - 2007
- Vol. 20, Issue 4 pp.289-384
- Vol. 20, Issue 3 pp.193-288
- Vol. 20, Issue 2 pp.97-192
- Vol. 20, Issue 1 pp.1-96
Volume 19 - 2006
- Vol. 19, Issue 4 pp.289-383
- Vol. 19, Issue 3 pp.193-288
- Vol. 19, Issue 2 pp.97-192
- Vol. 19, Issue 1 pp.1-96
Volume 18 - 2005
- Vol. 18, Issue 4 pp.289-383
- Vol. 18, Issue 3 pp.193-288
- Vol. 18, Issue 2 pp.97-192
- Vol. 18, Issue 1 pp.1-96
Volume 17 - 2004
- Vol. 17, Issue 4 pp.289-383
- Vol. 17, Issue 3 pp.193-288
- Vol. 17, Issue 2 pp.97-192
- Vol. 17, Issue 1 pp.1-96
Volume 16 - 2003
- Vol. 16, Issue 4 pp.289-383
- Vol. 16, Issue 3 pp.193-288
- Vol. 16, Issue 2 pp.97-192
- Vol. 16, Issue 1 pp.1-96
Volume 15 - 2002
- Vol. 15, Issue 4 pp.1-95
- Vol. 15, Issue 3 pp.1-80
- Vol. 15, Issue 2 pp.1-96
- Vol. 15, Issue 1 pp.1-96
Volume 14 - 2001
- Vol. 14, Issue 4 pp.289-383
- Vol. 14, Issue 3 pp.193-288
- Vol. 14, Issue 2 pp.97-192
- Vol. 14, Issue 1 pp.1-96
Volume 13 - 2000
- Vol. 13, Issue 4 pp.289-383
- Vol. 13, Issue 3 pp.193-288
- Vol. 13, Issue 2 pp.97-192
- Vol. 13, Issue 1 pp.1-96
Volume 12 - 1999
- Vol. 12, Issue 4 pp.289-383
- Vol. 12, Issue 3 pp.193-288
- Vol. 12, Issue 2 pp.97-192
- Vol. 12, Issue 1 pp.1-96
Volume 11 - 1998
- Vol. 11, Issue 4 pp.289-383
- Vol. 11, Issue 3 pp.193-288
- Vol. 11, Issue 2 pp.97-192
- Vol. 11, Issue 1 pp.1-96
Volume 10 - 1997
- Vol. 10, Issue 4 pp.289-383
- Vol. 10, Issue 3 pp.193-288
- Vol. 10, Issue 2 pp.97-192
- Vol. 10, Issue 1 pp.1-96
Volume 9 - 1996
- Vol. 9, Issue 4 pp.289-383
- Vol. 9, Issue 3 pp.193-288
- Vol. 9, Issue 2 pp.97-192
- Vol. 9, Issue 1 pp.1-96
Volume 8 - 1995
- Vol. 8, Issue 4 pp.289-383
- Vol. 8, Issue 3 pp.193-288
- Vol. 8, Issue 2 pp.97-192
- Vol. 8, Issue 1 pp.1-96
Volume 7 - 1994
- Vol. 7, Issue 4 pp.289-383
- Vol. 7, Issue 3 pp.193-288
- Vol. 7, Issue 2 pp.97-192
- Vol. 7, Issue 1 pp.1-96
Volume 6 - 1993
- Vol. 6, Issue 4 pp.289-384
- Vol. 6, Issue 3 pp.193-288
- Vol. 6, Issue 2 pp.97-192
- Vol. 6, Issue 1 pp.1-96
Volume 5 - 1992
- Vol. 5, Issue 4 pp.1-95
- Vol. 5, Issue 3 pp.1-96
- Vol. 5, Issue 2 pp.1-96
- Vol. 5, Issue 1 pp.1-96
Volume 4 - 1991
- Vol. 4, Issue 4 pp.1-96
- Vol. 4, Issue 3 pp.1-96
- Vol. 4, Issue 2 pp.1-96
- Vol. 4, Issue 1 pp.1-96
Volume 3 - 1990
- Vol. 3, Issue 4 pp.1-95
- Vol. 3, Issue 3 pp.1-96
- Vol. 3, Issue 2 pp.1-96
- Vol. 3, Issue 1 pp.1-96
Volume 2 - 1989
- Vol. 2, Issue 4 pp.1-95
- Vol. 2, Issue 3 pp.1-96
- Vol. 2, Issue 2 pp.1-96
- Vol. 2, Issue 1 pp.1-94
Volume 1 - 1988
- Vol. 1, Issue 2 pp.1-96
- Vol. 1, Issue 1 pp.1-95

Volume 8, Issue 2

Peszynska Malgorzata

J. Part. Diff. Eq., 8 (1995), pp. 159-173.

Published online: 1995-08

Preview Purchase PDF 1857 30065

Cited by

google scholar semantic scholar

Export citation

Abstract

An analysis of an integro-differential equation with a convolution term is given. Such equations arise in modelling of flows th rough fissured media, and these integral terms account for fading memory effects exhibited by the flow. We proposed a convergent semi-discrete approximation of the convolution term with a possibly singular kernel. The approximation scheme leads to the existence/uniqueness result for the problem and has strongly favorable numerical aspects.

Keywords

Integro-partial differential equations existence and uniqueness of solutions convolution integrals

AMS Subject Headings

Email address

BibTex
RIS
TXT

@Article{JPDE-8-159, author = {Malgorzata , Peszynska}, title = {Analysis of an Integro-differential Equation Arising from Modelling of Flows with Fading Memory Through Fissured Media}, journal = {Journal of Partial Differential Equations}, year = {1995}, volume = {8}, number = {2}, pages = {159--173}, abstract = { An analysis of an integro-differential equation with a convolution term is given. Such equations arise in modelling of flows th rough fissured media, and these integral terms account for fading memory effects exhibited by the flow. We proposed a convergent semi-discrete approximation of the convolution term with a possibly singular kernel. The approximation scheme leads to the existence/uniqueness result for the problem and has strongly favorable numerical aspects.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5649.html} }

TY - JOUR T1 - Analysis of an Integro-differential Equation Arising from Modelling of Flows with Fading Memory Through Fissured Media AU - Malgorzata , Peszynska JO - Journal of Partial Differential Equations VL - 2 SP - 159 EP - 173 PY - 1995 DA - 1995/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5649.html KW - Integro-partial differential equations KW - existence and uniqueness of solutions KW - convolution integrals AB - An analysis of an integro-differential equation with a convolution term is given. Such equations arise in modelling of flows th rough fissured media, and these integral terms account for fading memory effects exhibited by the flow. We proposed a convergent semi-discrete approximation of the convolution term with a possibly singular kernel. The approximation scheme leads to the existence/uniqueness result for the problem and has strongly favorable numerical aspects.

Malgorzata , Peszynska. (1995). Analysis of an Integro-differential Equation Arising from Modelling of Flows with Fading Memory Through Fissured Media. Journal of Partial Differential Equations. 8 (2). 159-173. doi:

Copy to clipboard

BibteX RIS TXT

The citation has been copied to your clipboard

- LOGIN -

- E-mail verification -

- REGISTER -