0$ is a constant).\n\nWe describe the connection with the lung a nd joint work with S. Decio\,\nM. Engelstein\, M. Filoche\, S. Mayboroda\, M. Michetti. DTSTART:20241112T193000Z DTEND:20241112T203000Z LAST-MODIFIED:20241112T144113Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Analysis and Mathematical Physics URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-37 END:VEVENT BEGIN:VEVENT UID:65326335-6535-4965-b435-313461656561 DTSTAMP:20241113T001032Z CREATED:20240909T132119Z DESCRIPTION:Topic: TBA\n\nTBD DTSTART:20241119T193000Z DTEND:20241119T203000Z LAST-MODIFIED:20240909T132133Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Analysis and Mathematical Physics URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-38 END:VEVENT BEGIN:VEVENT UID:33623437-3136-4363-b736-353932393734 DTSTAMP:20241113T001032Z CREATED:20240909T133209Z DESCRIPTION:Topic: Challenges and Breakthroughs in the Mathematics of Plasm as\n\nSpeakers: Mikaela Iacobelli\, Institute for Advanced Study\n\nThis c olloquium will explore some fundamental issues in the\nmathematics of plas mas\, focusing on the stability and instability of\nsolutions to Vlasov-ty pe equations\, which are crucial for describing\nthe behavior of charged p articles in a plasma. A general introduction\nto kinetic theory is given\, making the subject accessible to a wide\naudience of mathematicians. Key mathematical concepts such as\nwell-posedness\, stability\, and the behavi or of solutions in singular\nlimits are discussed. In addition\, a new cla ss of Wasserstein-type\ndistances is introduced\, offering new perspective s on the stability of\nkinetic equations. DTSTART:20241125T180000Z DTEND:20241125T190000Z LAST-MODIFIED:20241022T145556Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Members' Colloquium URL:https://www.ias.edu/math/events/members-colloquium-75 END:VEVENT BEGIN:VEVENT UID:37303238-6663-4161-b834-356661646432 DTSTAMP:20241113T001032Z CREATED:20240909T132142Z DESCRIPTION:Topic: New Estimates for Navier–Stokes and the Inviscid Limit P roblem\n\nSpeakers: Jincheng Yang\, Institute for Advanced Study\n\nIn thi s talk\, I will present several a priori interior and boundary\ntrace esti mates for the 3D incompressible Navier–Stokes equation\,\nwhich recover an d extend the current picture of higher derivative\nestimates in the mixed norm. Then we discuss the applications in the\ninviscid limit problem\, wi th both characteristic and noncharacteristic\nboundary conditions. In part icular\, we provide estimates on layer\nseparation and energy dissipation in the zero viscosity limit.\n\nThis talk will be based on several work in collaboration with Alexis\nVasseur\, Vincent Martinez\, and Anna Mazzucat o. DTSTART:20241126T193000Z DTEND:20241126T203000Z LAST-MODIFIED:20241107T150928Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Analysis and Mathematical Physics URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-39 END:VEVENT BEGIN:VEVENT UID:35336537-3365-4930-a363-333534613636 DTSTAMP:20241113T001032Z CREATED:20240909T133238Z DESCRIPTION:Topic: TBA\n\nSpeakers: Aaron Naber\, Institute for Advanced St udy\n\nTBD DTSTART:20241202T180000Z DTEND:20241202T190000Z LAST-MODIFIED:20241022T145412Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Members' Colloquium URL:https://www.ias.edu/math/events/members-colloquium-76 END:VEVENT BEGIN:VEVENT UID:36343261-6436-4463-a239-333263353465 DTSTAMP:20241113T001032Z CREATED:20240909T132209Z DESCRIPTION:Topic: TBA\n\nTBD DTSTART:20241203T193000Z DTEND:20241203T203000Z LAST-MODIFIED:20240909T132221Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Analysis and Mathematical Physics URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-40 END:VEVENT BEGIN:VEVENT UID:32366561-3964-4661-b361-326535633238 DTSTAMP:20241113T001032Z CREATED:20240909T133257Z DESCRIPTION:Topic: TBA\n\nSpeakers: Anna Erschler\, Institute for Advanced Study\n\nTBD DTSTART:20241209T180000Z DTEND:20241209T190000Z LAST-MODIFIED:20241022T145443Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Members' Colloquium URL:https://www.ias.edu/math/events/members-colloquium-77 END:VEVENT BEGIN:VEVENT UID:32646333-3162-4132-a365-346238643231 DTSTAMP:20241113T001032Z CREATED:20240909T132225Z DESCRIPTION:Topic: Spectral Minimal Partitions: Local vs Global Minimality \n\nSpeakers: Gregory Berkolaiko\, Institute for Advanced Study\n\nIn this overview talk we will explore a variational approach to the\nproblem of S pectral Minimal Partitions (SMPs). The problem is to\npartition a domain or a manifold into k subdomains so that the first\nDirichlet eigenvalue on each subdomain is as small as possible. We\nexpand the problem to consid er Spectral Critical Partitions\n(partitions where the max of the Dirichle t eigenvalues is experiencing\na critical point) and show that a locally m inimal bipartite partition\nis automatically globally minimal. Extensions of this result to\nnon-bipartite partitions\, as well as its connections t o counting nodal\ndomains of the eigenfunctions and to a two-sided Dirichl et-to-Neumann\nmap defined on the partition boundaries\, will also be disc ussed.\n\nThe talk is based on joint work with Yaiza Canzani\, Graham Cox\ ,\nBernard Helffer\, Peter Kuchment\, Jeremy Marzuola\, Uzy Smilansky and \nMikael Sundqvist\, with and without the speaker. DTSTART:20241210T193000Z DTEND:20241210T203000Z LAST-MODIFIED:20241104T181517Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Analysis and Mathematical Physics URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-41 END:VEVENT BEGIN:VEVENT UID:62343834-3531-4237-a135-653531633138 DTSTAMP:20241113T001032Z CREATED:20240909T132247Z DESCRIPTION:Topic: TBA\n\nTBD DTSTART:20241217T193000Z DTEND:20241217T203000Z LAST-MODIFIED:20240909T132301Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Analysis and Mathematical Physics URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-42 END:VEVENT END:VCALENDAR