Asymptotic analysis of solutions to transmission problems in solids with many inclusions
MJ Nieves - SIAM Journal on Applied Mathematics, 2017 - SIAM
We construct an asymptotic approximation to the solution of a transmission problem for a
body containing a region occupied by many small inclusions. The cluster of inclusions is …
body containing a region occupied by many small inclusions. The cluster of inclusions is …
Simulating the Hele-Shaw flow in the presence of various obstacles and moving particles
A generalization of the approach developed in the recent papers by the authors is
presented. It aims to provide a description of the Hele-Shaw cell in the presence of multiple …
presented. It aims to provide a description of the Hele-Shaw cell in the presence of multiple …
[PDF][PDF] Axisymmetric problems involving fractures with moving boundaries
DT Peck - 2018 - core.ac.uk
In the course of this work, the problems which will be examined meet four fundamental
requirements. The first is that the problems are axisymmetric in nature, with a 1D …
requirements. The first is that the problems are axisymmetric in nature, with a 1D …
Real variable Hele-Shaw problem with kinetic undercooling
S Rogosin - Lobachevskii Journal of Mathematics, 2017 - Springer
It is considered the (slow) flow of the viscous incompressible fluid in the Hele-Shaw cell at
presence of a rigid obstacle in the flow. A novel model for such a flow is proposed in terms of …
presence of a rigid obstacle in the flow. A novel model for such a flow is proposed in terms of …
[PDF][PDF] Real variable Hele-Shaw problem with kinetic undercooling//Lobachevski J. of Mathematics.–2017.–Vol. 38, No. 3.–P. 510-519.(impact 0,368)
S Rogosin - 2017 - elib.bsu.by
It is considered the (slow) flow of the viscous incompressible fluid in the Hele-Shaw cell at
presence of a rigid obstacle in the flow. A novel model for such a flow is proposed in terms of …
presence of a rigid obstacle in the flow. A novel model for such a flow is proposed in terms of …
Asymptotics of green's function and its application to an approximate solution to the Hele-Shaw problem
It is proposed the method of an approximate solution to several variants of the problems
describing 2D flow of the viscous incompressible fluid (see, eg [1]). The method is …
describing 2D flow of the viscous incompressible fluid (see, eg [1]). The method is …