An Equivalence Between the Neumann Problem and Its Boundary Domain Integral Equation Systems for Stokes Equations
摘要
For a compressible viscous fluid with variable viscosity coefficient, the Neumann boundary value problem for the steady-state Stokes system of partial differential equations is taken into account in a three-dimensional bounded domain. This problem can be reduced to two different systems of Boundary-Domain Integral Equations (BDIEs) by using parametrix. The Neumann boundary value problem related to the Stokes system and the reduced BDIE systems are equivalent.