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전임교수

Joerg Wolf 교수
Prof. Joerg Wolf
전공 Analysis
연구실 303-809
내선번호 820-5272
E-MAIL jwolf2603@gmail.com
Research Interest Nonlinear systems of partial differential equations
Regularity theory
Fluid models
Functional Analysis
Harmonic Analysis
Education 1986 - 1991 Diplom student in Mathematics at Humboldt-University of Berlin
1994 - 2001 PhD student in Mathematics at Humboldt-University of Berlin
2002 - 2006 Habilitation in Mathematics
Certificates 1991 Diploma in Mathematics
2002 Certificate of Ph.D.
2007 Certificate of habilitation and teaching competence
2010 Certificate of private docent at Humboldt University of Berlin
Working experience since 2017 Research professor at Chung-Ang University Seoul, Korea
2015-2017 Research professor at Humboldt University of Berlin
2014-2015 Guest professor at Ajou University Suwon, Korea (Brainpool program)
2012-2013 Professor substitute at University of Mainz
2008-2012 Assistance professor at University of Magdeburg
1999-2008 Teaching assistance at Humboldt University of Berlin
1996-1999 Member of graduate school „Geometrie and Nonlinear Analysis“ at Humboldt University of Berlin
List of selected publications 01) Regularity Criterion in terms of Pressure for the Navier-Stokes Equations", Nonlinear Analysis-TMA, 46 (2001), 727--735 (with D. Chae).
02) On the Regularity of Axisymmetric Solutions of the Navier-Stokes Equations", Math. Zeitschrift, 239 (2002), 645--671 (with D. Chae).
03) On the Time Singularity of the modified Navier-Stokes equations" Archive. ineq. and application, 1 (2003), 55—59
04) Local existence and Blow-up criterion of the inhomogeneous Euler equations", J. Mathematical Fluid mechanics, 5 (2003) 133--169 (with D. Chae)
05) Global well-posedness in the super-critical dissipative quasi-geostrophic equations", Comm. Math. Phys., 233 (2003), 297--311 (with D. Chae)
06) Generic solvability for the 3-D Navier-Stokes equations with nonregular force" E. JDE, (2004) 78 1—8
07) Ergodicity for the dissipative Boussinesque equations" J. Statis. Phys. 117 (2004) 929--973 (with M-Y. Wu)
08) The incompressible limits of viscous polytropic fluids with zero thermal conductivity coefficient", Comm. PDE, 30 (2005) 1169--1189. (with H. Kim)
09) On regularity criteria in conjunction with the pressure of the Navier-Stokes equations" International Mathematics Research Notices, 2006 id 80762 1--25 (with K. Kang)
10) H.J. Choe, J.Wolf and M. Yang, A new local regularity criterion for suitable weak solutions of the Navier-Stokes equations in terms of the velocity gradient. Math. Ann. (2017), doi:10.1007/s00208-017-1522-6.
11) H.-O ,Bae and J.Wolf, Boundary regularity for the steady Stokes type flow with shear thickening viscosity. J. Differential Equations 258 (2015), 3811-3850.
12) J. Wolf, On the local regularity of suitable weak solutions to the generalized Navier-Stokes equations. Ann Univ Ferrara 61 (2015), 149-171.
13) H-O. Bae, K. Kang, J. Lee and J. Wolf, Regularity for Ostwald-de Waele type shear thickening fluids. Nonlinear Differ. Equ. Appl. 22 (2015), 1-19.
14) J. Naumann and J. Wolf, On Prandtl's turbulence model: existence of weak solutions to the equations of stationary turbulent pipe-flow. Discrete Cont. Dyn. Systems, Series S 6 (2013), 1371-1390.
15) J. Naumann, M. Pokorny and J. Wolf, On the existence of weak solutions for the equations of a heat-conducting steady Fluid with dissipative heating. Nonlin. Anal., Real World Appl. 13 (2012), 1600-1620.
16) J. Naumann and J. Wolf, Existence of weak solutions to a simplified steady system of turbulence modeling. C.R. Math. Acad. Sci. Paris 350 (2012), 45-50.
17) J. Wolf, On the boundary regularity of suitable weak solutions to the Navier-Stokes equations. Ann Univ Ferrara 56 (2010), 97-139.
18) J. Wolf, A new criterion for partial regularity of suitable weak solutions to the Navier-Stokes equations. Advances in mathematical fluid mechanics, 613-630, Springer, Berlin, 2010.
19) L. Diening, M. Ruzicka and J. Wolf, Existence of weak solutions for unsteady motions of generalized Newtonian fluids. Ann. Sc. Norm. Super. Pisa Cl. Sci (5) 9 (2010), 1-46.
20) D. Bucur, E. Feireisl, S. Necasova and J. Wolf, On the asymptotic limit of the Navier-Stokes system on domains with rough boundaries. J. Differential Equations {\bf 244} (2008), 2890-2908.
21) J. Wolf, A direct proof of the Caffarelli-Kohn-Nirenberg theorem}. Banach Center Publ. 81 (2008), 533-552.
22) J. Wolf, {\it Existence of weak solutions to the equations of non-stationary motion of non-Newtonian fluids with shear rate dependent viscosity. J. Math. Fluid Mech. 9 (2007), 104-138.
23) J. Wolf, Interior C^{1,\alpha}-regularity of weak solutions to the equations of stationary motion to certain non-Newtonian fluids in two dimensions. Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 10 (2007), 317-340.
24) J. Wolf, Partial regularity of weak solutions to non-linear elliptic systems satisfying a Dini condition. Z. Anal. Anwendungen 20 (2001), 315-330.