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Prof. Joerg Wolf
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Prof. Joerg Wolf | |||
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전공 | Analysis | ||

연구실 | 303-809 | ||

내선번호 | 820-5272 | ||

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. |