most citedNon-stationary Navier-Stokes Equations with Mixed Boundary Conditions

2 citations · 4 across the 4 of their papers we have counts for

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math.AP2024

Free boundary problems for the two-dimensional Euler equations in exterior domains

Daomin Cao, Boquan Fan, Weicheng Zhan

In this paper we present some classification results for the steady Euler equations in two-dimensional exterior domains with free boundaries. We prove that, in an exterior domain,…

math.AP2024

Symmetry of uniformly rotating solutions for the vortex-wave system

Daomin Cao, Boquan Fan, Rui Li

In this paper, we study the radial symmetry properties of stationary and uniformly rotating solutions of the vortex-wave system introduced by Marchioro and Pulvirenti \cite{Mar1}.…

math.AP20192 cited

Asymptotic behavior of global vortex rings

Daomin Cao, Jie Wan, Guodong Wang +1

In this paper, we are concerned with nonlinear desingularization of steady vortex rings in with given general nonlinearity . Using the improved vorticity method,…

math.AP2016

The steady Navier-Stokes and Stokes systems with mixed boundary conditions including one-sided leaks and pressure

Tujin Kim, Daomin Cao

In this paper we are concerned with the steady Navier-Stokes and Stokes problems with mixed boundary conditions involving Tresca slip, leak condition, one-sided leak conditions, ve…

math.AP20162 cited

Non-stationary Navier-Stokes Equations with Mixed Boundary Conditions

Tujin Kim, Daomin Cao

In this paper we are concerned with the initial boundary value problem of the 2, 3-D Navier-Stokes equations with mixed boundary conditions including conditions for velocity, stati…

math.AP2016

Existence of solution to parabolic equations with mixed boundary condition on non-cylindrical domain

Tujin Kim, Daomin Cao

In this paper we are concerned with the initial boundary value problems of linear and semi-linear parabolic equations with mixed boundary conditions on non-cylindrical domains in s…