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20182020
most citedAnalysis of Boundary-Domain Integral Equations to the Mixed BVP for a Compressible Stokes System with Variable Viscosity

25 citations · 43 across the 6 of their papers we have counts for

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math.AP2020

On the Boundary-Domain Integral Equation Method for the Dirichlet Problem of the Compressible Stokes System with Variable Viscosity

M. A. Dagnaw, C. Fresneda-Portillo

We derive two systems of boundary-domain integral equations (BDIEs) equivalent to the Dirichlet problem for the compressible Stokes system using the potential method with an explic…

math.AP2020★ 2 cited

On the Existence and Uniqueness of Solution of Boundary-Domain Integral Equations for the Dirichlet Problem for the Non-Homogeneous Heat Transfer Equation defined on a 2D Unbounded Domain

Carlos Fresneda-Portillo, Zenebe W. Woldemicheal

A system of segregated boundary-domain integral equations (BDIEs) is obtained from the Dirichlet problem for the diffusion equation in non-homogeneous media defined on an exterior…

math.AP2020

Boundary-Domain Integral Equations for the Mixed Problem for the Diffusion Equation in Inhomogeneous Media based on a New Family of Parametrices on Unbounded Domains

C. Fresneda-Portillo

A system of Boundary-Domain Integral Equations is derived from the mixed (Dirichlet-Neumann) boundary value problem for the diffusion equation in inhomogeneous media defined on an…

math.AP2019★ 5 cited

On the Existence of Solution of the Boundary-Domain Integral Equation System derived from the 2D Dirichlet Problem for the Diffusion Equation with Variable Coefficient

C. F. Portillo, Z. W. Woldemicheal

A system of boundary-domain integral equations is derived from the bidimensional Dirichlet problem for the diffusion equation with variable coefficient using the novel parametrix f…

math.AP2018★ 25 cited

Analysis of Boundary-Domain Integral Equations to the Mixed BVP for a Compressible Stokes System with Variable Viscosity

S. E. Mikhailov, C. F. Portillo

The mixed boundary value problem for a compressible Stokes system of partial differential equations in a bounded domain is reduced to two different systems of segregated direct Bou…

math.AP2018★ 11 cited

Analysis of a Boundary-Domain Integral Equation System for the Mixed Interior Diffusion BVP with Variable Coefficient Based on a New Family of Parametrices

Carlos Fresneda-Portillo, Sergey E. Mikhailov

A mixed boundary value problem for the diffusion equation in non-homogeneous media partial differential equation is reduced to a system of direct segregated parametrix-based Bounda…