Renijin Jiang
Post Doc @ Universitat Autònoma de Barcelona (UAB)
since 11/14/2014 for 1 year.
under the supervision of Prof. Albert Clop
Research
The studies are about: 1) the well-posednes/ill-posedness of the transport equations, and flows for the non-smooth vector fields with borderline integral divergence, 2) quasiconformal flows and the well-posedness of the transport equation in quasi-conformally invariant spaces, 3) applications of the transport equation to Euler type fluid equations.
Complementary training activities:
- [Course] Language courses - a.a. 2014-2015 Barcelona, Spain
Local training activities:
- [Seminars] Periodic Seminar of Analysis in Barcelona - a.a. 2014-2015 Barcelona, Spain
- [Course] Reading course: Elliptic Partial Differential Equations, - a.a. 2014-2015 Barcelona, Spain
Network-wide training activities:
- [Workshop] Analysis and Geometry in metric spaces - June 1-5, 2015 Madrid, Spain
Talks and Poster Presentations:
- [Talk] Transport equations and flows for vector fields with borderline integrable divergence at Geometric mesaure theory, optimal mass transportation and PDEs - June 15-19, 2015 Sant Feliu de Guíxols, Spain
- [Talk] On the equivalence of quantitative regularity of harmonic functions and heat kernels and its applications at Periodic Jyväskylä Analysis Seminar - a.a. 2015-2016 Jyväskylä, Finland
- [Talk] Heat Kernels and Harmonic Functions on Metric Measure Spaces at Conference on Analysis and Geometry - August 4-9, 2015 Hefei, Anhui, China
Secondment:
- TSS - Frebrurary to April 2015 Barcelona, Spain
Publications and Preprints
- Y. Liang, D. Yang, R. Jiang, Weak Musielak–Orlicz Hardy spaces and applications on Mathematische Nachrichten Vol 289 Wiley-VCH Verlag 2015 pp. 634-677
- A. Clop, R. Jiang, J. Mateu, J. Orobitg, A note on transport equation in quasiconformally invariant spaces on Advances in Calculus of Variations Vol 11 Walter De Gruyter 2016 pp. 193-202 open access version
- A. Clop, R. Jiang, J. Mateu, J. Orobitg, Linear transport equations for vector fields with subexponentially integrable divergence on Calculus of Variations and Partial Differential Equations Vol 55 Springer New York 2016 pp. 21-55 open access version
- A. Clop, R. Jiang, J. Mateu, J. Orobitg, Flows for non-smooth vector fields with subexponentially integrable divergence on Journal of Differential Equations Vol 261 Elsevier 2016 pp. 1237-1263 open access version
- R. Jiang, H. C. Zhangg, Hamilton’s gradient estimates and a monotonicity formula for heat flows on metric measure spaces on Nonlinear Analysis, Theory, Methods and Applications Vol 131 Elsevier 2016 pp. 32-47 open access version
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