@article {BeynDoeding22, AUTHOR = {Beyn, Wolf-J\"{u}rgen and D\"{o}ding, Christian}, TITLE = {Stability of traveling oscillating fronts in complex {G}inzburg {L}andau equations}, JOURNAL = {SIAM J. Math. Anal.}, FJOURNAL = {SIAM Journal on Mathematical Analysis}, VOLUME = {54}, YEAR = {2022}, NUMBER = {5}, PAGES = {5447--5488}, ISSN = {0036-1410,1095-7154}, MRCLASS = {35B35 (35B40 35C07 35K58 35Pxx 35Q56)}, MRNUMBER = {4487904}, DOI = {10.1137/21M1455760}, URL = {https://doi.org/10.1137/21M1455760}, EPRINT = {arxiv:2110.12953} }