{"id":19643,"date":"2023-06-04T20:00:34","date_gmt":"2023-06-04T17:00:34","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?p=19643"},"modified":"2023-06-12T18:06:35","modified_gmt":"2023-06-12T15:06:35","slug":"math-seminar-qualitative-properties-of-a-compressible-oseen-structure-interaction-pde-dynamics-pelin-guven-geredeli-400pm-june-9-en","status":"publish","type":"post","link":"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-qualitative-properties-of-a-compressible-oseen-structure-interaction-pde-dynamics-pelin-guven-geredeli-400pm-june-9-en\/","title":{"rendered":"MATH Seminar: \u201cQualitative Properties of a Compressible Oseen-structure Interaction PDE Dynamics\u201d, Pelin G\u00fcven Geredeli, 4:00PM June 9 (EN)"},"content":{"rendered":"
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You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.<\/p>\n

Speaker: Pelin G\u00fcven Geredeli (Iowa State University)
\n\u201cQualitative Properties of a Compressible Oseen-structure Interaction PDE Dynamics\u201d<\/p>\n

Abstract: We consider the Oseen structure of the linearization of a compressible FSI system for which the interaction interface is under the effect of the material derivative term. The flow linearization is taken with respect to an arbitrary, variable ambient vector field. This process produces extra \u201cconvective derivative\u201d and \u201cmaterial derivative\u201d terms which render the coupled system highly nondissipative. We show first the wellposedness of the said FSI system which provides a continuous bounded semigroup via dissipativity and perturbation arguments. In addition, we analyze the long-time dynamics in the sense of asymptotic (strong) stability in an invariant subspace (one dimensional less) of the entire state space, where the continuous semigroup is uniformly bounded.<\/p>\n

Date: Friday, June 9, 2023
\nTime: 16:00 \u2013 17:00
\nPlace: SA-Z20<\/p>\n<\/div>\n<\/section>\n