5 papers · 1 filter
Existence and stability of dissipative turbulent solutions to a simple bi-fluid model of compressible fluids
Bumja Jin, Young-Sam Kwon, Sarka Necasova +1
Following Abbatiello et al. [ DCCDS-A (41), 2020], we introduce dissipative turbulent solutions to a simple model of a mixture of two non interacting compressible fluids {\tc filli…
Global well-posedness of the half space problem of the Navier-Stokes equations in critical function spaces of limiting case
Tongkeun Chang, Bum Ja Jin
In this paper, we study the initial-boundary value problem of the Navier-Stokes equations in half-space. Let a solenoidal initial velocity be given in the function space $ \dot{B}_…
Global in time solvability of the Navier-Stokes equations in the half-space
Tongkeun Chang, Bum Ja Jin
In this paper, we study the initial value problem of the Navier-Stokes equations in the half-space. Let a solenoidal initial velocity be given in the function space $ \dot{B}_{pq,0…
Initial-Boundary value problem of the Navier-Stokes equations in the half space with nonhomogeneous data
Tongkeun Chang, Bum Ja Jin
This paper discusses the solvability (global in time) of the initial-boundary value problem of the Navier-stokes equations in the half space when the initial data $ h\in \dot{ B}_{…
Solvability of the Initial-Boundary value problem of the Navier-Stokes equations with rough data
Tongkeun Chang, Bum Ja Jin
In this paper, we study the initial and boundary value problem of the Navier-Stokes equations in the half space. We prove the unique existence of weak solution $u\in L^q(\R_+\times…