2026-09-19T08:03:55Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/1129082026-06-16T18:53:34Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Gigliola Staffilani.
Fan, Chenjie.
Massachusetts Institute of Technology. Department of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2017-12-20T18:16:54Z
2017-12-20T18:16:54Z
2017
2017
http://hdl.handle.net/1721.1/112908
1015202726
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2017
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 175-181).
In this thesis, we investigate the long time behavior of focusing mass critical nonlinear Schrödinger equation (NLS). We will focus on the singularity formation and long time asymptotics. To be specific, there are two parts in the thesis. In the first part, we give a construction of log-log blow up solutions which blow up at m prescribed points simultaneously. In the second part, we show weak convergence to ground state for certain radial blow up solutions to NLS at well chosen time sequence. We also include a lecture note on concentration compactness. Concentration compactness is one of the main tool we use in the second part of the thesis.
by Chenjie Fan.
Ph.D.
Ph.D. Massachusetts Institute of Technology, Department of Mathematics
181 pages ;
eng
Massachusetts Institute of Technology
MIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission.
http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
On long time dynamic and singularity formation of NLS
On long time dynamic and singularity formation of nonlinear Schrödinger equation
Thesis
application/pdf
2019-06-17T20:30:12Z
Publication
unknown
unknown
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