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math.AP2021
A Convective Boundary Condition for the Navier-Stokes Equations: Existence Analysis and Numerical Implementations
John Sebastian H. Simon, Hirofumi Notsu
Due to computational complexity, fluid flow problems are mostly defined on a bounded domain. Hence, capturing fluid outflow calls for imposing an appropriate condition on the bound…
math.AP2018
Analysis of a projection method for the Stokes problem using an -Stokes approach
Masato Kimura, Kazunori Matsui, Adrian Muntean +1
We generalize pressure boundary conditions of an -Stokes problem. Our -Stokes problem connects the classical Stokes problem and the corresponding pressure…
math.AP2008
Exponential decay phenomenon of the principal eigenvalue of an elliptic operator with a large drift term of gradient type
Shuichi Jimbo, Masato Kimura, Hirofumi Notsu
We study an asymptotic behaviour of the principal eigenvalue for an elliptic operator with large advection which is given by a gradient of a potential function. It is shown that th…