{"id":4056,"global_id":"colleges.claremont.edu\/ccms?id=4056","global_id_lineage":["colleges.claremont.edu\/ccms?id=4056"],"author":"262","status":"publish","date":"2026-03-20 12:35:27","date_utc":"2026-03-20 19:35:27","modified":"2026-03-20 12:35:27","modified_utc":"2026-03-20 19:35:27","url":"https:\/\/colleges.claremont.edu\/ccms\/event\/a-regularity-criterion-for-the-3-d-navier-stokes-equations-based-on-finitely-many-observations-abhishek-balakrishna-usc\/","rest_url":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/tribe\/events\/v1\/events\/4056","title":"A Regularity Criterion for the 3-D Navier-Stokes Equations Based on Finitely Many Observations (Abhishek Balakrishna, USC)","description":"

Abstract:<\/strong> This talk presents a regularity criterion for the three-dimensional Navier\u2013Stokes equations based on finitely many observations of the flow. Motivated by data assimilation, we study a nudging algorithm that incorporates coarse spatial measurements through general interpolation operators.<\/p>\n

We show that suitable conditions on the observed data guarantee global regularity of the associated system and yield an exponential tracking property. As a consequence, we obtain a new regularity criterion for weak solutions formulated entirely in terms of finitely many observables, covering modal, volume, and nodal measurements.<\/div>","excerpt":"","slug":"a-regularity-criterion-for-the-3-d-navier-stokes-equations-based-on-finitely-many-observations-abhishek-balakrishna-usc","image":false,"all_day":false,"start_date":"2026-03-23 16:15:00","start_date_details":{"year":"2026","month":"03","day":"23","hour":"16","minutes":"15","seconds":"00"},"end_date":"2026-03-23 17:15:00","end_date_details":{"year":"2026","month":"03","day":"23","hour":"17","minutes":"15","seconds":"00"},"utc_start_date":"2026-03-23 23:15:00","utc_start_date_details":{"year":"2026","month":"03","day":"23","hour":"23","minutes":"15","seconds":"00"},"utc_end_date":"2026-03-24 00:15:00","utc_end_date_details":{"year":"2026","month":"03","day":"24","hour":"00","minutes":"15","seconds":"00"},"timezone":"America\/Los_Angeles","timezone_abbr":"PDT","cost":"","cost_details":{"currency_symbol":"","currency_code":"","currency_position":"","values":[]},"website":"","show_map":true,"show_map_link":true,"hide_from_listings":false,"sticky":false,"featured":false,"categories":[{"name":"Applied Math Seminar","slug":"applied-math-seminar","term_group":0,"term_taxonomy_id":15,"taxonomy":"tribe_events_cat","description":"","parent":0,"count":154,"filter":"raw","term_order":"0","id":15,"urls":{"self":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/tribe\/events\/v1\/categories\/15","collection":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/tribe\/events\/v1\/categories"}}],"tags":[],"venue":{"id":2379,"author":"233","status":"publish","date":"2021-09-19 14:16:55","date_utc":"2021-09-19 21:16:55","modified":"2024-05-05 13:16:16","modified_utc":"2024-05-05 20:16:16","url":"https:\/\/colleges.claremont.edu\/ccms\/venue\/emmy-noether-room-estella-1021-pomona-college-as-well-as-on-zoom\/","venue":"Emmy Noether Room, Estella 1021, Pomona College,","slug":"emmy-noether-room-estella-1021-pomona-college-as-well-as-on-zoom","address":"610 N. 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