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These equations describe the motion of a fluid with variable density and viscosity, which arises for example when mixing two immiscible fluids with different densities and viscosities. In this talk we prove the propagation of regularity of density patches, even for largely varying, discontinuous viscosity coefficients. This talk is based on joint work with Xian Liao.", "occurrence_notes":null, "guid":"134231-21874035@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/134231", "building_id":"1000166", "building_name":"East Hall", "campus_maps_id":"53", "room":"4088", "location_name":"East Hall", "has_livestream":0, "cost":"", "tags":["Mathematics","Applied Mathematics"], "website":"", "sponsors":[ { "group_name":"Differential Equations Seminar - Department of Mathematics", "group_id":"4888", "website":"" }, { "group_name":"Department of Mathematics", "group_id":"3791", "website":"" } ], "image_url":"", "styled_images":{ "event_thumb":"", "event_large":"", "event_large_2x":"", "event_large_lightbox":"", "group_thumb":"", "group_thumb_square":"", "group_large":"", "group_large_lightbox":"", "event_large_crop":"", "event_list":"", "event_list_2x":"", "event_grid":"", "event_grid_2x":"", "event_feature_large":"", "event_feature_thumb":"" }, "occurrence_count":1, "first_occurrence":21874035 } , "133132-21872424": { "datetime_modified":"20250228T142047", "datetime_start":"20250417T160000", "datetime_end":"20250417T170000", "has_end_time":1, "date_start":"2025-04-17", "date_end":"2025-04-17", "time_start":"16:00:00", "time_end":"17:00:00", "time_zone":"America\/Detroit", "event_title":"EEB Thursday Seminar Series - Retracing the evolutionary steps towards symbiosis", "occurrence_title":"", "combined_title":"EEB Thursday Seminar Series - Retracing the evolutionary steps towards symbiosis: Joe Parker, California Institute of Technology", "event_subtitle":"Joe Parker, California Institute of Technology", "event_type":"Workshop \/ Seminar", "event_type_id":"21", "description":"The biosphere is a network of interacting species that connects organisms across all scales, from microbes to mammals. Knowledge of the mechanisms underlying these relationships, and the evolutionary forces that shape them, is fragmentary. In this lecture, I will describe how my lab has pioneered the study of rove beetles as a model clade to break open basic problems in organismal interactions and their evolutionary origins. Most of the 66,000 rove beetle species are free-living predators. Yet, from this ancestral lifestyle, hundreds of lineages have transformed into symbiotic organisms specialized for life as imposters within the complex societies of ants. The transition from free-living to symbiotic embodies evolution in the extreme, with dramatic changes in social behavior and chemical communication that enable rove beetles to assimilate into the social fabric of host colonies. The widespread, convergent evolution of this form of symbiosis, combined with the experimental tractability of both free-living and symbiotic rove beetles, provides a virtuoso system for understanding both how and why new ecological relationships are forged by evolution. I will discuss how my lab\u2019s work is creating an integrated picture of how species recognize and interact with each other, illuminating the conditions that predispose such interactions to emerge, and pinpointing forces that shape the evolutionary path towards obligate and highly intimate relationships between species.", "occurrence_notes":null, "guid":"133132-21872424@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/133132", "building_id":"1005169", "building_name":"Biological Sciences Building", "campus_maps_id":"631", "room":"1060", "location_name":"Biological Sciences Building", "has_livestream":0, "cost":"", "tags":["evolution","seminar","Science","evolutionary biology","Ecology And Evolutionary Biology","Ecology & Biology"], "website":"http:\/\/www.beetles.caltech.edu", "sponsors":[ { "group_name":"EEB Thursday Seminars", "group_id":"3822", "website":"" }, { "group_name":"Ecology and Evolutionary Biology", "group_id":"1190", "website":"" } ], "image_url":"https:\/\/events.umich.edu\/media\/attachments\/2025\/02\/event_133132_original-1.png", "styled_images":{ "event_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_thumb\/media\/attachments\/2025\/02\/event_133132_original-1.png", "event_large":"https:\/\/events.umich.edu\/media\/cache\/event_large\/media\/attachments\/2025\/02\/event_133132_original-1.png", "event_large_2x":"https:\/\/events.umich.edu\/media\/cache\/event_large_2x\/media\/attachments\/2025\/02\/event_133132_original-1.png", "event_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/event_large_lightbox\/media\/attachments\/2025\/02\/event_133132_original-1.png", "group_thumb":"https:\/\/events.umich.edu\/media\/cache\/group_thumb\/media\/attachments\/2025\/02\/event_133132_original-1.png", "group_thumb_square":"https:\/\/events.umich.edu\/media\/cache\/group_thumb_square\/media\/attachments\/2025\/02\/event_133132_original-1.png", "group_large":"https:\/\/events.umich.edu\/media\/cache\/group_large\/media\/attachments\/2025\/02\/event_133132_original-1.png", "group_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/group_large_lightbox\/media\/attachments\/2025\/02\/event_133132_original-1.png", "event_large_crop":"https:\/\/events.umich.edu\/media\/cache\/event_large_crop\/media\/attachments\/2025\/02\/event_133132_original-1.png", "event_list":"https:\/\/events.umich.edu\/media\/cache\/event_list\/media\/attachments\/2025\/02\/event_133132_original-1.png", "event_list_2x":"https:\/\/events.umich.edu\/media\/cache\/event_list_2x\/media\/attachments\/2025\/02\/event_133132_original-1.png", "event_grid":"https:\/\/events.umich.edu\/media\/cache\/event_grid\/media\/attachments\/2025\/02\/event_133132_original-1.png", "event_grid_2x":"https:\/\/events.umich.edu\/media\/cache\/event_grid_2x\/media\/attachments\/2025\/02\/event_133132_original-1.png", "event_feature_large":"https:\/\/events.umich.edu\/media\/cache\/event_feature_large\/media\/attachments\/2025\/02\/event_133132_original-1.png", "event_feature_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_feature_thumb\/media\/attachments\/2025\/02\/event_133132_original-1.png" }, "occurrence_count":1, "first_occurrence":21872424 } , "131108-21867753": { "datetime_modified":"20250114T082513", "datetime_start":"20250417T160000", "datetime_end":"20250417T200000", "has_end_time":1, "date_start":"2025-04-17", "date_end":"2025-04-17", "time_start":"16:00:00", "time_end":"20:00:00", "time_zone":"America\/Detroit", "event_title":"Finale Dinner", "occurrence_title":"", "combined_title":"Finale Dinner", "event_subtitle":"", "event_type":"Social \/ Informal Gathering", "event_type_id":"19", "description":"The end of the year is near! To celebrate the work that our amazing team has done this year, stop by any of the dining halls for dinner. Desserts and entrees will be carefully chosen to highlight all the talent of our chefs, so it is sure to be an exquisite meal.\r\n\r\nThis event is included with your residential meal plan. Those with block plans can use a meal swipe to enter. 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