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19972023
most citedA Comprehensive Survey of Image Augmentation Techniques for Deep Learning

625 citations

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5 papers · 1 filter

math.AP2022★ 2 cited

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…

math.AP2020

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}_…

math.AP2018★ 1 cited

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}_{…

math.AP2015

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…

math.AP2011★ 253 cited

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…