PreprintCC BY 4.0arXiv
Genericity of singularities of solutions to quasilinear systems on compact sets
Abstract
We study the genericity of singularities of types A2,A3,D4± in solutions of the equations of gas dynamics and nonlinear geometrical optics. The sets of solutions satisfying the corresponding transversality conditions are proved to be open and dense in spaces of smooth and real-analytic solutions equipped with the Whitney topology on compact sets.
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BibTeX
@misc{shavlukov2026genericity,
title = {{Genericity of singularities of solutions to quasilinear systems on compact sets}},
author = {Azamat Shavlukov},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.38370},
eprint = {2610.38370},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.38370},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Genericity of singularities of solutions to quasilinear systems on compact sets
AU - Azamat Shavlukov
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.38370
UR - https://arxiv.org/abs/2610.38370
AB - We study the genericity of singularities of types A_2,A_3,D_4^± in solutions of the equations of gas dynamics and nonlinear geometrical optics. The sets of solutions satisfying the corresponding transversality conditions are proved to be open and dense in spaces of smooth and real-analytic solutions equipped with the Whitney topology on compact sets.
ER -