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Asymptotic stability of scalar multi-D inviscid shock waves

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 نشر من قبل Denis Serre
 تاريخ النشر 2021
  مجال البحث
والبحث باللغة English
 تأليف Denis Serre




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In several space dimensions, scalar shock waves between two constant states u $pm$ are not necessarily planar. We describe them in detail. Then we prove their asymptotic stability, assuming that they are uniformly non-characteristic. Our result is conditional for a general flux, while unconditional for the multi-D Burgers equation.



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