253 citations · 256 across the 13 of their papers we have counts for
13 papers
Global well-posedness and time-decay estimates of the Navier-Stokes equations in exterior domains for critical data
Tongkeun Chang, Bum Ja Jin
It is well known that the Navier-Stokes equations have unique global strong solutions for standard domains when initial data are small in . Global well-posedness has been ex…
Asymptotic properties of the Stokes flow in an exterior domain with slowly decaying initial data and its application to the Navier-Stokes equations
Tongkeun Chang, Bum Ja Jin
In this paper, we study the decay rate of the Stokes flow in an exterior domain with a slowly decaying initial data ${\bf u}_0(x)=O(|x|^{-\al}), 0<\al\leq n$. %which is not i…
Collision/No-collision results of a solid body with its container in a 3D compressible viscous fluid
Bum Ja Jin, Šárka Nečasová, Florian Oschmann +1
We consider a bounded domain and a rigid body moving inside a viscous compressible Newtonian fluid. We exploit the roughness of the b…
Global existence of non-Newtonian incompressible fluids in half space with nonhomogeneous initial-boundary data
Tongkuen Chang, Bum Ja Jin
In this study, we investigate the global existence of weak solutions of non-Newtonian incompressible fluids governed by (1.1). When $u_0 \in \dot B^{α-\frac{2}{p}}_{p,q}({\mathbb R…
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…
Initial-boundary value problem of the Navier-Stokes system in the half space
Tongkeun Chang, Bum Ja Jin
In this paper, we study the initial-boundary value problem of the Navier-Stokes system in the half space. We prove the unique solvability of the weak solution on some short time in…
Robustness of strong solutions to the compressible Navier-Stokes system
Peter Bella, Eduard Feireisl, Bum Ja Jin +1
We consider the Navier-Stokes system describing the time evolution of a compressible barotropic fluid confined to a bounded spatial domain in the 3-D physical space, supplemented w…
Boundary value problem of a non-stationary Stokes system in a bounded smooth cylinder
TongKeun Chang, Bum Ja Jin
In this paper, we intend to study the boundary value problem of the non-stationary Stokes system in a bounded smooth cylinder . As a first step, we consider the prob…
Relative entropies, suitable weak solutions, and weak strong uniqueness for the compressible Navier-Stokes system
Eduard Feireisl, Bum Ja Jin, Antonin Novotny
We introduce the notion of relative entropy for the weak solutions of the compressible Navier-Stokes system. We show that any finite energy weak solution satisfies a relative entro…