@Article{JPDE-8-2, author = {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/1995-JPDE-5649}, url = {https://global-sci.com/article/88972/analysis-of-an-integro-differential-equation-arising-from-modelling-of-flows-with-fading-memory-through-fissured-media} }