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Volume 8, Issue 2
Analysis of an Integro-differential Equation Arising from Modelling of Flows with Fading Memory Through Fissured Media

Peszynska Malgorzata

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

Published online: 1995-08

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  • 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

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@Article{JPDE-8-159, author = {Peszynska and Malgorzata and and 4889 and Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland and Peszynska Malgorzata}, 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.
Peszynska Malgorzata . (2019). 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:
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