• 990 Citations
  • 17 h-Index
19972019
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Research Output 1997 2019

  • 990 Citations
  • 17 h-Index
  • 71 Article
  • 5 Comment/debate
2019
1 Citation (Scopus)

Analysis of convective heat transfer in channel flow with arbitrary rough surface

Ahn, J., Choi, J. & Kang, K., 2019 Mar 1, In : ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 99, 3, e201700363.

Research output: Contribution to journalArticle

Convective Heat Transfer
Channel Flow
Rough Surface
Channel flow
Rough
1 Citation (Scopus)

Analysis of localized damping effects in channel flows with arbitrary rough boundary

Ahn, J., Choi, J. I., Kang, K. & Kim, J. M., 2019 Oct 3, In : Applicable Analysis. 98, 13, p. 2359-2377 19 p.

Research output: Contribution to journalArticle

Channel Flow
Channel flow
Rough
Quadratic Approximation
Damping

Cardinality estimation of support of the global minimizer for the interaction energy with mildly repulsive potentials

Kang, K., Kim, H. K. & Seo, G., 2019 Dec 1, In : Physica D: Nonlinear Phenomena. 399, p. 51-57 7 p.

Research output: Contribution to journalArticle

Global Minimizer
Cardinality
cards
Energy
Interaction
Global Weak Solutions
Chemotaxis
Smoothness
Logarithmic
Stabilization

Existence and temporal decay of regular solutions to non-Newtonian fluids combined with Maxwell equations

Kim, H. K., Kang, K. & Kim, J. M., 2019 Mar 1, In : Nonlinear Analysis, Theory, Methods and Applications. 180, p. 284-307 24 p.

Research output: Contribution to journalArticle

Regular Solution
Non-Newtonian Fluid
Maxwell equations
Maxwell's equations
Decay

Existence of regular solutions for a certain type of non-Newtonian fluids

Kang, K., Kim, H. K. & Kim, J. M., 2019 Aug 1, In : Zeitschrift fur Angewandte Mathematik und Physik. 70, 4, 124.

Research output: Contribution to journalArticle

Regular Solution
Non-Newtonian Fluid
Fluids
fluids
norms
1 Citation (Scopus)
Strong Solution
Magnetohydrodynamics
Viscous Fluid
Weak Solution
Existence of Solutions

Global minimisers for anisotropic attractive-repulsive interactions

Kaib, G., Kang, K. & Stevens, A., 2019 Jan 1, (Accepted/In press) In : European Journal of Applied Mathematics.

Research output: Contribution to journalArticle

Interaction
Compact Support
Power Law
Class

Global phase diagrams of run-and-tumble dynamics: Equidistribution, waves, and blowup

Kang, K., Scheel, A. & Stevens, A., 2019 May 8, In : Nonlinearity. 32, 6, p. 2128-2146 19 p.

Research output: Contribution to journalArticle

Equidistribution
Blow-up
Phase Diagram
Phase diagrams
phase diagrams

Regularity condition of the incompressible Navier–Stokes equations in terms of one velocity component

Bae, H. & Kang, K., 2019 Aug, In : Applied Mathematics Letters. 94, p. 120-125 6 p.

Research output: Contribution to journalArticle

Incompressible Navier-Stokes
Regularity Criterion
Blow-up Time
Smooth Solution
Growth Conditions
2018
2 Citations (Scopus)

Analysis of localized damping effects in channel flows with a periodic rough boundary

Ahn, J., Choi, J. I., Kang, K. & Lim, J., 2018 Apr 26, In : Applicable Analysis. 97, 6, p. 902-918 17 p.

Research output: Contribution to journalArticle

Damping Term
Navier-Stokes System
Channel Flow
Channel flow
Rough
2 Citations (Scopus)

A regularity condition and temporal asymptotics for chemotaxis-fluid equations

Chae, M., Kang, K., Lee, J. & Lee, K. A., 2018 Jan 3, In : Nonlinearity. 31, 2, 351.

Research output: Contribution to journalArticle

pulse detonation engines
Chemotaxis
Regularity Conditions
regularity
Navier-Stokes equation
2 Citations (Scopus)

Estimates of anisotropic Sobolev spaces with mixed norms for the Stokes system in a half-space

Chang, T. & Kang, K., 2018 May 1, In : Annali dell'Universita di Ferrara. 64, 1, p. 47-82 36 p.

Research output: Contribution to journalArticle

Anisotropic Sobolev Spaces
Stokes System
Half-space
Norm
Estimate

Green tensor of the Stokes system and asymptotics of stationary Navier–Stokes flows in the half space

Kang, K., Miura, H. & Tsai, T. P., 2018 Jan 7, In : Advances in Mathematics. 323, p. 326-366 41 p.

Research output: Contribution to journalArticle

Stokes System
Navier-Stokes
Half-space
Tensor
Incompressible Navier-Stokes

On maximum modulus estimates of the navier–stokes equations with nonzero boundary data

Chang, T., Choe, H. J. & Kang, K., 2018 Jan 1, In : SIAM Journal on Mathematical Analysis. 50, 3, p. 3147-3171 25 p.

Research output: Contribution to journalArticle

Modulus
Navier-Stokes Equations
Estimate
Differential equations
Blow-up Solution

Solvability for Stokes System in Hölder Spaces in Bounded domains and Its Applications

Chang, T. & Kang, K., 2018 Dec 1, In : Journal of Mathematical Fluid Mechanics. 20, 4, p. 1857-1888 32 p.

Research output: Contribution to journalArticle

Stokes System
Solvability
Bounded Domain
continuity
Continuous Solution
5 Citations (Scopus)

Stability of planar traveling waves in a Keller–Segel equation on an infinite strip domain

Chae, M., Choi, K., Kang, K. & Lee, J., 2018 Jul 5, In : Journal of Differential Equations. 265, 1, p. 237-279 43 p.

Research output: Contribution to journalArticle

Traveling Wave Solutions
Traveling Wave
Strip
Angiogenesis
Sobolev spaces

Uniqueness of solutions for Keller–Segel system of porous medium type coupled to fluid equations

Bae, H., Kang, K. & Kim, S., 2018 Apr 15, In : Journal of Differential Equations. 264, 8, p. 5360-5387 28 p.

Research output: Contribution to journalArticle

Viscosity Method
Stokes System
Vanishing Viscosity
Uniqueness of Solutions
Variable Coefficients
2017
Energy Inequality
Stokes System
Navier Stokes equations
Navier-Stokes Equations
Existence of Weak Solutions

Existence of weak solutions in wasserstein space for a chemotaxis model coupled to fluid equations

Kang, K. & Kim, H. K., 2017 Jan 1, In : SIAM Journal on Mathematical Analysis. 49, 4, p. 2965-3004 40 p.

Research output: Contribution to journalArticle

Existence of Weak Solutions
Chemotaxis
Coupled Model
Navier Stokes equations
Fluid
3 Citations (Scopus)

Hölder continuity of Keller–Segel equations of porous medium type coupled to fluid equations

Chung, Y. S., Hwang, S., Kang, K. & Kim, J., 2017 Aug 15, In : Journal of Differential Equations. 263, 4, p. 2157-2212 56 p.

Research output: Contribution to journalArticle

Porous Medium Equation
Porous Media
Porous materials
Fluid
Stokes System
6 Citations (Scopus)

Lower bound of mass in a chemotactic model with advection and absorbing reaction

Ahn, J., Kang, K., Kim, J. & Lee, J., 2017 Jan 1, In : SIAM Journal on Mathematical Analysis. 49, 2, p. 723-755 33 p.

Research output: Contribution to journalArticle

Global Well-posedness
Regular Solution
Advection
Strictly positive
Absorbing
2016
7 Citations (Scopus)

Asymptotic behaviors of solutions for an aerotaxis model coupled to fluid equations

Chae, M., Kang, K. & Lee, J., 2016 Jan 1, In : Journal of the Korean Mathematical Society. 53, 1, p. 127-146 20 p.

Research output: Contribution to journalArticle

Asymptotic Profile
Decay Estimates
Coupled Model
Incompressible Navier-Stokes Equations
Asymptotic Behavior of Solutions
30 Citations (Scopus)

Blowup and global solutions in a chemotaxis-growth system

Kang, K. & Stevens, A., 2016 Apr 1, In : Nonlinear Analysis, Theory, Methods and Applications. 135, p. 57-72 16 p.

Research output: Contribution to journalArticle

Regular Solution
Blow-up Solution
Chemotaxis
Global Solution
Elliptic Problems
4 Citations (Scopus)

Existence of global solutions for a chemotaxis-fluid system with nonlinear diffusion

Chung, Y. S. & Kang, K., 2016 Apr 1, In : Journal of Mathematical Physics. 57, 4, 041503.

Research output: Contribution to journalArticle

Chemotaxis
Nonlinear Diffusion
Global Solution
Fluid
Stokes System
1 Citation (Scopus)

Local regularity criteria of the navier-stokes equations with slip boundary conditions

Bae, H. O., Kang, K. & Kim, M., 2016 Jan 1, In : Journal of the Korean Mathematical Society. 53, 3, p. 597-621 25 p.

Research output: Contribution to journalArticle

Suitable Weak Solutions
Regularity Criterion
Slip Boundary Condition
Navier-Stokes Equations
Curved Boundary
2015
1 Citation (Scopus)

A pressure distribution imaging technique with a conductive membrane using electrical impedance tomography

Ammari, H., Kang, K., Lee, K. & Seo, J. K., 2015 Jan 1, In : SIAM Journal on Applied Mathematics. 75, 4, p. 1493-1512 20 p.

Research output: Contribution to journalArticle

Electrical Impedance Tomography
Acoustic impedance
Pressure Distribution
Inverse problems
Pressure distribution
16 Citations (Scopus)

Magnetic resonance-based reconstruction method of conductivity and permittivity distributions at the Larmor frequency

Ammari, H., Kwon, H., Lee, Y., Kang, K. & Seo, J. K., 2015 Sep 8, In : Inverse Problems. 31, 10, 105001.

Research output: Contribution to journalArticle

Magnetic Resonance
Permittivity
Magnetic resonance
Conductivity
Homogeneity
2014
7 Citations (Scopus)

Boundary regularity criteria for suitable weak solutions of the magnetohydrodynamic equations

Kang, K. & Kim, J. M., 2014 Jan 1, In : Journal of Functional Analysis. 266, 1, p. 99-120 22 p.

Research output: Contribution to journalArticle

Suitable Weak Solutions
Boundary Regularity
Regularity Criterion
Magnetohydrodynamic Equations
Norm
1 Citation (Scopus)
Lamé System
Elliptic Systems
Three-dimension
Differential equation
Coefficient
88 Citations (Scopus)

Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations

Chae, M., Kang, K. & Lee, J., 2014 Jul, In : Communications in Partial Differential Equations. 39, 7, p. 1205-1235 31 p.

Research output: Contribution to journalArticle

Keller-Segel Model
Blow-up Criterion
Regular Solution
Local Existence
Incompressible Navier-Stokes Equations
9 Citations (Scopus)

Global existence of weak solutions for a Keller-Segel-fluid model with nonlinear diffusion

Chung, Y. S., Kang, K. & Kim, J., 2014, In : Journal of the Korean Mathematical Society. 51, 3, p. 635-654 20 p.

Research output: Contribution to journalArticle

Keller-Segel Model
Existence of Weak Solutions
Nonlinear Diffusion
Fluid Model
Global Existence
11 Citations (Scopus)

How Do Cultural Classes Emerge from Assimilation and Distinction? An Extension of the Cucker-Smale Flocking Model

Kang, J. H., Ha, S. Y., Kang, K. & Jeong, E., 2014 Jan 1, In : Journal of Mathematical Sociology. 38, 1, p. 47-71 25 p.

Research output: Contribution to journalArticle

Flocking
assimilation
upper class
middle class
Model
1 Citation (Scopus)

Liouville theorem for the steady-state non-newtonian navier-stokes equations in two dimensions

Jin, B. J. & Kang, K., 2014 Jun, In : Journal of Mathematical Fluid Mechanics. 16, 2, p. 275-292 18 p.

Research output: Contribution to journalArticle

Liouville theorem
Liouville's theorem
Thinning
Navier-Stokes equation
Navier Stokes equations
5 Citations (Scopus)

On a keller-segel system with logarithmic sensitivity and non-diffusive chemical

Ahn, J. & Kang, K., 2014 Dec, In : Discrete and Continuous Dynamical Systems- Series A. 34, 12, p. 5165-5179 15 p.

Research output: Contribution to journalArticle

Logarithmic
Regular Solution
Self-similar Solutions
Global Solution
Blow-up

On the regularity of weak solutions to the stationary motion of the degenerate power-law fluids

Jin, B. J., Kang, K. & Lee, J., 2014 May, In : Annali dell'Universita di Ferrara. 60, 1, p. 169-188 20 p.

Research output: Contribution to journalArticle

Power-law Fluid
Weak Solution
Three-dimension
Regularity
Motion
4 Citations (Scopus)

Regularity for Ostwald-de Waele type shear thickening fluids

Bae, H. O., Kang, K., Lee, J. & Wolf, J., 2014 Jan 1, In : Nonlinear Differential Equations and Applications. 22, 1

Research output: Contribution to journalArticle

Shear viscosity
Regularity
Regularity Criterion
Fluid
Shear Viscosity
2013
1 Citation (Scopus)

A 2D-Model of Cell Sorting Induced by Propagation of Chemical Signals Along Spiral Waves

Kang, K., Primi, I. & Velázquez, J. J. L., 2013 Jun 1, In : Communications in Partial Differential Equations. 38, 6, p. 1069-1122 54 p.

Research output: Contribution to journalArticle

Spiral Wave
Sorting
Cells
Propagation
Cell
89 Citations (Scopus)

Existence of smooth solutions to coupled chemotaxis-fluid equations

Chae, M., Kang, K. & Lee, J., 2013 Jun 1, In : Discrete and Continuous Dynamical Systems- Series A. 33, 6, p. 2271-2297 27 p.

Research output: Contribution to journalArticle

Regular Solution
Chemotaxis
Smooth Solution
Navier Stokes equations
Three-dimension
11 Citations (Scopus)

Global classical solutions for a compressible fluid-particle interaction model

Chae, M., Kang, K. & Lee, J., 2013 Sep 1, In : Journal of Hyperbolic Differential Equations. 10, 3, p. 537-562 26 p.

Research output: Contribution to journalArticle

Global Classical Solution
Compressible Fluid
Vlasov Equation
Compressible Navier-Stokes Equations
Drag Force
1 Citation (Scopus)

Partial regularity of minimum energy configurations in ferroelectric liquid crystals

Kang, K. & Park, J., 2013 Apr 1, In : Discrete and Continuous Dynamical Systems- Series A. 33, 4, p. 1499-1511 13 p.

Research output: Contribution to journalArticle

Smectic liquid crystals
Partial Regularity
Minimizer
Liquid Crystal
Liquid crystals
2012
23 Citations (Scopus)

Asymptotics of Small Exterior Navier-Stokes Flows with Non-Decaying Boundary Data

Kang, K., Miura, H. & Tsai, T. P., 2012 Oct 1, In : Communications in Partial Differential Equations. 37, 10, p. 1717-1753 37 p.

Research output: Contribution to journalArticle

Stokes Flow
Navier-Stokes
Navier Stokes equations
Vector Field
Time-periodic Solutions
1 Citation (Scopus)

Corrigendum to "An integro-differential equation model for alignment and orientational aggregation" [J. Differential Equations 246 (4) (2009) 1387-1421]

Kang, K., Perthame, B., Stevens, A. & Velázquez, J. J. L., 2012 May 1, In : Journal of Differential Equations. 252, 9, p. 5125-5128 4 p.

Research output: Contribution to journalComment/debate

Integro-differential Equation
Aggregation
Alignment
Differential equation
Model
17 Citations (Scopus)

Emergence of multi-cluster configurations from attractive and repulsive interactions

Ha, S. Y., Jeong, E., Kang, J. H. & Kang, K., 2012 Aug 1, In : Mathematical Models and Methods in Applied Sciences. 22, 8, 12500133.

Research output: Contribution to journalArticle

Conservation
Configuration
Interaction
Order Type
Nonlocality
16 Citations (Scopus)

Regularity criteria of the magnetohydrodynamic equations in bounded domains or a half space

Kang, K. & Kim, J. M., 2012 Jul 15, In : Journal of Differential Equations. 253, 2, p. 764-794 31 p.

Research output: Contribution to journalArticle

Regularity Criterion
Magnetohydrodynamic Equations
Slip Boundary Condition
Magnetohydrodynamics
Half-space
2011
3 Citations (Scopus)

Elliptic systems with measurable coefficients of the type of Lamé system in three dimensions

Kang, K. & Kim, S., 2011 Nov 1, In : Journal of Differential Equations. 251, 9, p. 2466-2493 28 p.

Research output: Contribution to journalArticle

Elliptic Systems
Green's function
Three-dimension
Heat Kernel
Coefficient
20 Citations (Scopus)

Global existence of weak and classical solutions for the Navier-Stokes-Vlasov-Fokker-Planck equations

Chae, M., Kang, K. & Lee, J., 2011 Nov 1, In : Journal of Differential Equations. 251, 9, p. 2431-2465 35 p.

Research output: Contribution to journalArticle

Fokker Planck equation
Vlasov Equation
Existence of Weak Solutions
Fokker-Planck Equation
Classical Solution
2010
2 Citations (Scopus)
Regularity Criterion
Navier-Stokes Equations
17 Citations (Scopus)

Global pointwise estimates for Green's matrix of second order elliptic systems

Kang, K. & Kim, S., 2010 Dec 1, In : Journal of Differential Equations. 249, 11, p. 2643-2662 20 p.

Research output: Contribution to journalArticle

Green's Matrix
Pointwise Estimates
Second-order Systems
Elliptic Systems
Estimate
1 Citation (Scopus)

On the behaviour of Navier-Stokes equations near a possible singular point

Kang, K. & Lee, J., 2010 Dec 1, In : Nonlinearity. 23, 12, p. 3185-3197 13 p.

Research output: Contribution to journalArticle

Singular Point
Navier-Stokes equation
Navier Stokes equations
Navier-Stokes Equations
Suitable Weak Solutions