An eigenvalue criterion for stability
نویسندگان
چکیده
We study the resolvent equation associated with a linear operator L arising from the linearized equation for perturbations of a steady Navier–Stokes flow U∗. We derive estimates which, together with a stability criterion from [33], show that the stability of U∗ (in the L–norm) depends only on the position of the eigenvalues of L, regardless the presence of the essential spectrum. Mathematics Subject Classification (2000). Primary: 35 Q 30, 35 B 35; secondary: 76 D 05, 76 E 09.
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