교원프로필

권재룡 사진
교원에 대한 정보를 나타내는 표입니다.
성명 권재룡
소속 수학과
전화번호 279-2053
E-mail kweon@postech.ac.kr
Homepage http://mathhome.postech.ac.kr/~kweon/

학력

  • 1990.09 ~ 1995.12 UNIV. OF MARYLAND (박사-수학)
  • 1984.03 ~ 1986.02 경북대학교 (석사-수학)
  • 1980.03 ~ 1984.02 경북대학교 (학사-수학)

주요경력

  • 2000.03 ~ 2001.08 : 경북대학교 수학과
  • 1997.03 ~ 2000.02 : 신라대학교 수학과
  • 1996.03 ~ 1996.08 : 서울대학교 수학과
  • 1995.09 ~ 1997.02 : 서울대학교 대역해석학 연구센터
  • 1992.09 ~ 1995.08 : 메릴랜드 대학교 수학과
  • 1986.03 ~ 1990.07 : 경북대학교

전문분야

  • Numerical Analysis and Partial Differential Equations: Compressible and incompressible flows equations, Finitte element method, adaptive mesh refinement, singular perturbation,

학술지

국제전문학술지

  • Interior Jump and Regularity of Compressible Viscous Navier-Stokes Flows through a cut, SIAM Journal on Mathematical Analysis, , 49, 1982-2008 (2017)
  • The Compressible Stokes Flows with No-Slip Boundary Condition on Non-convex Polygons, Journal of Mathematical Fluid Mechanics, , 19, 47-57 (2017)
  • Interior discontinuity for a stationary compressible Stokes system with inflow datum, COMPUTERS & MATHEMATICS WITH APPLICATIONS, , 74, 2321-2329 (2017)
  • A finite element method for singular solutions of the Navier–Stokes equations on a non-convex polygon, Journal of Computational and Applied Mathematics, , 292, 342-362 (2016)
  • Jump dynamics due to jump datum of compressible viscous Navier-Stokes flows in a bounded plane domain, Journal of Differential Equations, , 261, 3463-3492 (2016)
  • The Fourier finite element method for the corner singularity expansion of the Heat equation, COMPUTERS & MATHEMATICS WITH APPLICATIONS, , 69, 13-30 (2015)
  • Edge Singular Behavior for the Heat Equation on Polyhedral Cylinders in R^3, Potential Analysis, , 38, 589-610 (2013)
  • The Stationary Navier-Stokes System with No-Slip Boundary Condition on Polygons: Corner Singularity and Regularity, Communication in Partial Differential Equations, , 38, 1235-1255 (2013)
  • A Jump discontinuity of compressible viscous flows grazing a non-convex corner, Journal de Mathématiques Pures et Appliquées, , 100, 410-432 (2013)
  • For the parabolic Lame system on polygonal domains: The transport equation, Journal of Differential Equations, , 255, 1109-1131 (2013)
  • For the vorticity-velocity-pressure form of the Navier-Stokes equations on a bounded plane domain with corners, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, , 75, 2936-2956 (2012)
  • Corner Singularity Dynamics and Regularity of Compressible Viscous Navier-Stokes Flows, SIAM Journal on Mathematical Analysis, , 44, 3127-3161 (2012)
  • For the stationary compressible viscous Navier-Stokes equations with no-slip condition on a convex polygon, JOURNAL OF DIFFERENTIAL EQUATIONS, , 250, 2440-2461 (2011)
  • An error analysis for the corner singularity expansion of a compressible Stokes system on a non-convex polygon, APPLIED NUMERICAL MATHEMATICS, , 60, 843-861 (2010)
  • The Pressure Singularity for Compressible Stokes Flows in a Concave Polygon, JOURNAL OF MATHEMATICAL FLUID MECHANICS, , 11, 1-21 (2009)
  • The Fourier-finite element method for the Poisson problem on a non-convex polyhedral cylinder, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, , 233, 951-968 (2009)
  • For the inf-sup condition on mesh-dependent norms on a nonconvex polygon, NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, , 24, 1253-1264 (2008)
  • The evolution compressible Navier-Stokes system on polygonal domains, JOURNAL OF DIFFERENTIAL EQUATIONS, , 232, 487-520 (2007)
  • Regularity of solutions for the Navier-Stokes system of incompressible flows on a polygon, JOURNAL OF DIFFERENTIAL EQUATIONS, , 235, 166-198 (2007)
  • Boundary geometry and regularity of solution to the compressible Navier-Stokes equations in bounded domains of R-n, ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, , 86, 495-504 (2006)
  • Singularities in the density gradient, JOURNAL OF MATHEMATICAL FLUID MECHANICS, , 8, 445-454 (2006)
  • Singularities of a compressible Stokes system in a domain with concave edge in R-3, JOURNAL OF DIFFERENTIAL EQUATIONS, , 229, 24-48 (2006)
  • A discontinuous solution for an evolution compressible stokes system in a bounded domain, JOURNAL OF DIFFERENTIAL EQUATIONS, , 219, 202-220 (2005)
  • Regularity of solutions to the Navier-Stokes system for compressible flows on a polygon, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, , 35, 1451-1485 (2004)
  • A regularity result of solution to the compressible Stokes equations on a convex polygon, ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, , 55, 435-450 (2004)
  • A singular expansion of solution for a regularized compressible Stokes system, ANNALES HENRI POINCARE, , 5, 169-188 (2004)
  • An evolution compressible Stokes system in a polygon, JOURNAL OF DIFFERENTIAL EQUATIONS, , 199, 352-375 (2004)
  • A posteriori error estimates for a compressible stokes system, NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, , 20, 412-431 (2004)
  • An explicit finite element method for convection- dominated compressible viscous Stokes system with inflow boundary, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, , 156, 319-343 (2003)
  • Optimal error estimate for a mixed finite element method for compressible Navier-Stokes system, APPLIED NUMERICAL MATHEMATICS, , 45, 275-292 (2003)
  • Regularity of solutions to the Navier-Stokes equations for compressible barotropic flows on a polygon, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, , 163, 35-64 (2002)
  • Compressible Stokes problem on nonconvex polygonal domains, JOURNAL OF DIFFERENTIAL EQUATIONS, , 176, 290-314 (2001)
  • A discontinuous Galerkin method for convection-dominated compressible viscous Navier-Stokes equations with an inflow boundary condition, SIAM JOURNAL ON NUMERICAL ANALYSIS, , 38, 699-717 (2000)

국내전문학술지

일반학술지

학술회의논문

  • Discontinuity of Solutions to the Compressible Navier-Stokes Equations on Bounded Domains with Corners, RESEARCH INTERACTION TEAM (APPLIED PARTIAL DIFFERENTIAL EQUATIONS), 0, 0, - (2009)

학회발표

  • For regularity of compressible Stokes flows, KMJ, 0, 0, - (2018)
  • A finite element method for singular solutions of the Navier–Stokes equations on a non-convex polygon, ., 0, 0, - (2017)
  • Compressible viscous Navier-Stokes flows grazing a non-convex corner, ., 0, 0, - (2016)
  • What are 자연현상, Big data, and science ?, ., 0, 0, - (2016)
  • Compressible viscous Navier-Stokes flows over corners, ., 0, 0, - (2016)
  • Jump discontinuity of compressible viscous flows: existence and regularity, ., 0, 0, - (2015)
  • Compressible Navier-Stokes equations: Jump discontinuity, corner singularity, interior layer, ., 0, 0, - (2015)
  • What kinds of singularities can we deduce from the corner singularity theory of compressible viscous Stokes flows ?, ., 0, 0, - (2014)
  • Compressible viscous Navier-Stokes flows: corner singularities, existence, regularity, ., 0, 0, - (2014)
  • Compressible Viscous Navier-Stokes Flows grazing a non-convex corner, ., 0, 0, - (2013)
  • A survey of regularity results for compressible viscous Stokes flows in domains with corners, ., 0, 0, - (2013)
  • For the Navier-Stokes flows with nonstandard boundary conditions on a polygonal domains, ., 0, 0, - (2012)
  • A finite element method for the incompressible Navier-Stokes equations on non-convex polygons, ., 0, 0, - (2012)
  • Compressilble viscous Navier-Stokes flows over corners and some numerical examples, ., 0, 0, - (2011)
  • Existence and regularity of compressible Navier-Stokes equations on bounded domains with corners, ., 0, 0, - (2011)
  • Compressible viscous Navier-Stokes flows on domains with corners and some numerical experiments, ., 0, 0, - (2011)
  • Compressible viscous Navier-Stokes Flows on Polygonal domains and Numerical Simulations, ., 0, 0, - (2011)
  • For a compressible vixcous Stokes flow on a polygon and numerical examples ,, ., 0, 0, - (2010)
  • Jump discontinuities of compressible viscous flows grazing a non-convex corner, ., 0, 0, - (2010)
  • For compressible viscous Navier-Stokes flows over a grazing corner, ., 0, 0, - (2010)
  • For compressible Navier-Stokes equations on domains with corners, ., 0, 0, - (2010)
  • Jump Discontinuity of Compressible Viscous Flows grazing a non-convex corner, ., 0, 0, - (2009)
  • Discontinuity Dynamics of Compressible Viscous Flows by Corner Singularities, Third Workshop on Nonlinear Partial Differential Equations: Analysis, Computational and Application, 0, 0, - (2008)
  • For a singular behavior of compressible fluid flows on a polygon, Boundary and Interior Layers, Computational and Asymptotic Methods, 0, 0, - (2008)
  • A survey of corner singularity for compressible visocus Navier-Stokes flows, Mathematical Analysis in Fluid and Gas Dynamics, 0, 0, - (2008)
  • The Pressure Singularity for Compressible Stokes Flows on a Domain with corners, 2007 International Conference on Conservation Laws and Kinetic Equations, 0, 0, - (2007)
  • Corner Singularities of Compressible Navier-Stokes Equations on Polygonal Domains, 6TH International Congress on Industrial and Applied Mathematics, 0, 0, - (2007)
  • Corner Singularities plus some new results for Navier-Stokes equations, JNU MATH 2007 Workshop and Summer School on Numerical Analysis, 0, 0, - (2007)
  • For the Inf-Sup Condition on Mesh-Dependent Norms on a Concave Polygon, SIAM Conference on Computational Science and Engineering, 0, 0, - (2007)
  • Bellagio International Conference in Italy, For the compressible Navier-Stokes Equations in bounded domains with singular boundaries, 0, 0, - (2006)
  • Singularities of a Compressible Stokes System in a Domain in R^3, ., 0, 0, - (2006)
  • Corner singularity and compressible Navier-Stokes system on a polygon, Kyoto Conference on Navier-Stokes equations and their applications, 0, 0, - (2006)
  • The compressible Navier-Stokes equations on polygons: corner singularities, Finite Element Circus, 0, 0, - (2005)
  • Compressible Navier-Stokes equations, Mini Symposium on 2005 KNU Numerical Computations, 0, 0, - (2005)
  • The evolutionary compressible Navier-Stokes system on polygonal domains, Partial Differential Equations and Applications, 0, 0, - (2005)
  • The evolution compressible Navier-Stokes system on a polygon: corner singularities, SIAM conference on Analysis of Partial Differential Equations, 0, 0, - (2004)
  • Corner singularities for the evolution compressible Navier-Stokes system on a polygon, FRG meeting and Summer Workshop on Kinetic Theory and Conservation Law, 0, 0, - (2004)
  • Corner singularities for the evolution compressible Navier-Stokes system on a polygon, FRG meeting and Summer Workshop on Kinetic Theory and Conservation Law, 0, 0, - (0000)
  • The evolution compressible Navier-Stokes system on a polygon: corner singularities, SIAM conference on Analysis of Partial Differential Equations, 0, 0, - (0000)
  • The evolutionary compressible Navier-Stokes system on polygonal domains, Partial Differential Equations and Applications, 0, 0, - (0000)
  • Compressible Navier-Stokes equations, Mini Symposium on 2005 KNU Numerical Computations, 0, 0, - (0000)
  • The compressible Navier-Stokes equations on polygons: corner singularities, Finite Element Circus, 0, 0, - (0000)
  • Corner singularity and compressible Navier-Stokes system on a polygon, Kyoto Conference on Navier-Stokes equations and their applications, 0, 0, - (0000)
  • Parabolic and Navier-Stokes Equations in Poland, , 0, 0, - (0000)
  • Bellagio International Conference in Italy, For the compressible Navier-Stokes Equations in bounded domains with singular boundaries, 0, 0, - (0000)
  • For the Inf-Sup Condition on Mesh-Dependent Norms on a Concave Polygon, SIAM Conference on Computational Science and Engineering, 0, 0, - (0000)
  • Corner Singularities plus some new results for Navier-Stokes equations, JNU MATH 2007 Workshop and Summer School on Numerical Analysis, 0, 0, - (0000)
  • Corner Singularities of Compressible Navier-Stokes Equations on Polygonal Domains, 6TH International Congress on Industrial and Applied Mathematics, 0, 0, - (0000)
  • The Pressure Singularity for Compressible Stokes Flows on a Domain with corners, 2007 International Conference on Conservation Laws and Kinetic Equations, 0, 0, - (0000)
  • A survey of corner singularity for compressible visocus Navier-Stokes flows, Mathematical Analysis in Fluid and Gas Dynamics, 0, 0, - (0000)
  • For a singular behavior of compressible fluid flows on a polygon, Boundary and Interior Layers, Computational and Asymptotic Methods, 0, 0, - (0000)
  • Discontinuity Dynamics of Compressible Viscous Flows by Corner Singularities, Third Workshop on Nonlinear Partial Differential Equations: Analysis, Computational and Application, 0, 0, - (0000)

단행본

연구실적

  • 다각형 영역에서 압축나비어-스톡스 방정식에 대한 모서리 특이성과 수치해석 시뮬레이션, 국방과학연구소 (2001-2002)
  • 다각형 영역에서 압축 나비어-스톡스 방정식에 대한 모서리 특이성과 수치해석 시뮬레이션, 국방과학연구소 (2002-2003)
  • 오목 영역에서 압축 스톡스 문제의 연구, 포항공과대학교 (2001-2002)
  • 다각형 영역에서 압축 나비어-스톡스 방정식에 대한 모서리 특이성과 수치해석 시뮬레이션, 한국학술진흥재단 (2003-2004)
  • 특이영역에서 압축 나비어-스톡스 방정식 연구, 한국학술진흥재단 (2005-2006)
  • 특이영역에서 압축 나비어-스톡스 방정식 연구, 한국학술진흥재단 (2006-2007)
  • 5NH05014 이월과제, 한국학술진흥재단 (2006-2008)
  • 특이영역에서 압축나비어-스톡스 방정식연구, 한국학술진흥재단 (2007-2008)
  • (전사) 아연도금강판의 GAS WIPING 현상에 관한 이론적 해석, (주)포스코 (2007-2008)
  • (전사) 후판 조압연중 결함거동 메커니즘분석을 위한 판표면 형상예측 SIMULATOR개발, (주)포스코 (2007-2008)
  • 아연도금강판의 GAS WIPING현상에 관한 이론적 해석, 포항공과대학교 산학협력단 (2007-2008)
  • 후판조합연중결함거동메커니즘분석을위한판표면형상예측SIMULATOR개발, 포항공과대학교 산학협력단 (2007-2008)
  • 인건비풀링과제, 포항공과대학교 (2009-2015)
  • 자체연구개발과제, 포항공과대학교 (2009-2016)
  • 점성 압축성 유체에 의한 영역내부 특이성 역학 및 정칙성, 포항공과대학교 (2010-2011)
  • 점성 압축 나비어-스톡스 방정식에 의한 공동 유체 연구 및 수치적 방법, 재단법인한국연구재단 (2010-2011)
  • (학생)인건비풀링과제, 포항공대산학협력단 (2010-2020)
  • 경계 및 내부 층에 대한 국제학회 : COMPUTATIONAL AND ASYMPTOTIC METHODS, 포항공대산학협력단 (2011-2012)
  • 점성 압축 나비어-스톡스 방정식에 의한 공동 유체 연구 및 수치적 방법, 재단법인한국연구재단 (2011-2012)
  • 4.5468_1차년도 이월과제, 재단법인한국연구재단 (2011-2012)
  • 점성 압축 나비어-스톡스 방정식에 의한 공동 유체 연구 및 수치적 방법, 재단법인한국연구재단 (2012-2013)
  • 4.6845_2차년도 이월과제, 재단법인한국연구재단 (2012-2013)
  • 점성 압축 나비어-스톡스 방정식에 의한 공동 유체 연구 및 수치적 방법, 재단법인한국연구재단 (2013-2014)
  • 4.8256/8620_3차년도 이월과제, 재단법인한국연구재단 (2013-2014)
  • 점성 압축 나비어-스톡스 방정식에 의한 공동 유체 연구 및 수치적 방법, 재단법인한국연구재단 (2014-2015)
  • 4.10940의 이월과제, 재단법인한국연구재단 (2014-2015)
  • 자체연구개발과제[2015년 신설], 포항공과대학교 (2015-2025)
  • 수리유체역학에 기반을 둔 산업수학 문제 연구, 국가수리과학연구소 (2015-2016)
  • 모서리 CAVITY를 지나는 모서리 CAVITY를 지나는 압축 나비어-스톡스 유체에 대한 불안정성과 미분성, 재단법인한국연구재단 (2015-2016)
  • 모서리 CAVITY를 지나는 압축 나비어-스톡스 유체에 대한 불안정성과 미분성, 재단법인한국연구재단 (2016-2017)
  • 4.12831_이월과제, 재단법인한국연구재단 (2016-2017)
  • 모서리 CAVITY를 지나는 압축 나비어-스톡스 유체에 대한 불안정성과 미분성, 재단법인한국연구재단 (2017-2018)
  • 4.14113/14372 이월과제, 재단법인한국연구재단 (2017-2018)
  • 3차원 공동영역을 지나는 압축 유동의 자유내부 층과 불안전성, 재단법인한국연구재단 (2018-2019)
  • 3차원 공동영역을 지나는 압축 유동의 자유내부 층과 불안전성, 재단법인한국연구재단 (2019-2020)

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