In this Note the multidimensional stability of cylindrical shock profiles and the existence of a nearby perturbed structure is presented for the full Euler equations. This provides an example of a nonplanar structure for which the uniform Kreiss–Lopatinski–Majda stability condition can be explicitly verified.
Dans cette Note la stabilité multidimensionnelle des chocs cylindrique et de l'existence d'une structure perturbée voisine est présentée. Ceci fournit un exemple explicite d'une structure non planairepour laquelle la condition de stabilité uniforme de Kreiss–Lopatinsky–Majda est satisfaite.
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Nicola Costanzino 1
@article{CRMATH_2008__346_5-6_283_0, author = {Nicola Costanzino}, title = {Existence of topologically cylindrical shocks}, journal = {Comptes Rendus. Math\'ematique}, pages = {283--286}, publisher = {Elsevier}, volume = {346}, number = {5-6}, year = {2008}, doi = {10.1016/j.crma.2008.01.003}, language = {en}, }
Nicola Costanzino. Existence of topologically cylindrical shocks. Comptes Rendus. Mathématique, Volume 346 (2008) no. 5-6, pp. 283-286. doi : 10.1016/j.crma.2008.01.003. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.01.003/
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