We review some recent progress on the blow-up dynamics for the self-dual Chern–Simons–Schrödinger equation within equivariance. We describe the results of the recent series of works [18, 19, 20, 22, 21] by the author, Kwon, and Oh. We in particular discuss soliton resolution and rotational instability for this model.
@article{SLSEDP_2021-2022____A4_0,
author = {Kihyun Kim},
title = {Blow-up dynamics for the self-dual {Chern{\textendash}Simons{\textendash}Schr\"odinger} equation},
journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
note = {talk:2},
pages = {1--13},
publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
year = {2021-2022},
doi = {10.5802/slsedp.149},
language = {en},
url = {https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.149/}
}
TY - JOUR AU - Kihyun Kim TI - Blow-up dynamics for the self-dual Chern–Simons–Schrödinger equation JO - Séminaire Laurent Schwartz — EDP et applications N1 - talk:2 PY - 2021-2022 SP - 1 EP - 13 PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique UR - https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.149/ DO - 10.5802/slsedp.149 LA - en ID - SLSEDP_2021-2022____A4_0 ER -
%0 Journal Article %A Kihyun Kim %T Blow-up dynamics for the self-dual Chern–Simons–Schrödinger equation %J Séminaire Laurent Schwartz — EDP et applications %Z talk:2 %D 2021-2022 %P 1-13 %I Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique %U https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.149/ %R 10.5802/slsedp.149 %G en %F SLSEDP_2021-2022____A4_0
Kihyun Kim. Blow-up dynamics for the self-dual Chern–Simons–Schrödinger equation. Séminaire Laurent Schwartz — EDP et applications (2021-2022), Talk no. 2, 13 p. doi : 10.5802/slsedp.149. https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.149/
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