- Analysis-seminar - Mailing list — Dipartimento di Matematica, UniPI

[Indico] Elia Bruè, Non-uniqueness of Leray solutions of the forced Navier-Stokes equations, 28/06/2022, 16:30 Europe/Rome
by maria.stella.gelli＠unipi.it 03 Oct '22

03 Oct '22

Title: Non-uniqueness of Leray solutions of the forced Navier-Stokes equations, Speaker(s): Elia Bruè, Institute for Advanced Study (Princeton), Date and time: 28 Jun 2022, 16:30 (Europe/Rome), Lecture series: Analysis Seminar, Venue: Dipartimento di Matematica (Aula Magna). You can access the full event here: https://events.dm.unipi.it/e/100 Abstract -------- In his seminal work, Leray demonstrated the existence of global weak solutions, with nonincreasing energy, to the Navier-Stokes equations in three dimensions. In this talk, we exhibit two distinct Leray solutions with zero initial velocity and identical body force. Building on a recent work of Vishik, we construct a linear unstable self-similar solution to the 3D Navier-Stokes with force. We employ the linear instability of the latter to build the second solution, which is a trajectory on the unstable manifold, in accordance with the predictions of Jia and Šverák. -- Indico :: Email Notifier https://events.dm.unipi.it/e/100

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[Indico] Carlo Mantegazza , The Riemannian Penrose inequality via nonlinear potential theory, 11/07/2022, 17:30 Europe/Rome
by maria.stella.gelli＠unipi.it 11 Jul '22

11 Jul '22

Title: The Riemannian Penrose inequality via nonlinear potential theory, Speaker(s): Carlo Mantegazza , Università di Napoli, Date and time: 11 Jul 2022, 17:30 (Europe/Rome), Lecture series: Analysis Seminar, Venue: Dipartimento di Matematica (Aula Magna). You can access the full event here: https://events.dm.unipi.it/e/101 Abstract -------- We will discuss the Riemannian Penrose inequality in an asymptotically flat 3-manifold with nonnegative scalar curvature and the main points of a new proof by means of a monotonicity formula holding along the level sets of the p-capacitary potentials of the horizon boundary. Joint work with Virginia Agostiniani, Lorenzo Mazzieri and Francesca Oronzio. -- Indico :: Email Notifier https://events.dm.unipi.it/e/101

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[Indico] Carlo Mantegazza , The Riemannian Penrose inequality via nonlinear potential theory, 7/11/22, 5:30 PM Europe/Rome
by maria.stella.gelli＠unipi.it 07 Jul '22

07 Jul '22

Title: The Riemannian Penrose inequality via nonlinear potential theory, Speaker(s): Carlo Mantegazza , Università di Napoli, Date and time: Jul 11, 2022, 5:30 PM (Europe/Rome), Lecture series: Analysis Seminar, Venue: Dipartimento di Matematica (Aula Magna). You can access the full event here: https://events.dm.unipi.it/e/101 Abstract -------- We will discuss the Riemannian Penrose inequality in an asymptotically flat 3-manifold with nonnegative scalar curvature and the main points of a new proof by means of a monotonicity formula holding along the level sets of the p-capacitary potentials of the horizon boundary. Joint work with Virginia Agostiniani, Lorenzo Mazzieri and Francesca Oronzio. Note ---- Note the change of title and abstract!!! Time and location are the same -- Indico :: Email Notifier https://events.dm.unipi.it/e/101

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[Indico] Carlo Mantegazza , Li & Yau estimates for some semilinear heat equations, 11/07/2022, 17:30 Europe/Rome
by maria.stella.gelli＠unipi.it 07 Jul '22

07 Jul '22

Title: Li & Yau estimates for some semilinear heat equations, Speaker(s): Carlo Mantegazza , Università di Napoli, Date and time: 11 Jul 2022, 17:30 (Europe/Rome), Lecture series: Analysis Seminar, Venue: Dipartimento di Matematica (Aula Magna). You can access the full event here: https://events.dm.unipi.it/e/101 Abstract -------- We will show some Li & Yau–type gradient estimates for positive solutions of the semilinear heat equations $u_t =\Delta u + u^p$ with p>1, on a complete n–dimensional Riemannian manifold (M,g) with nonnegative Ricci tensor. We then discuss some applications to ancient and eternal solutions. Joint work with Giacomo Ascione, Daniele Castorina and Giovanni Catino. -- Indico :: Email Notifier https://events.dm.unipi.it/e/101

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[Indico] Elia Bruè, Non-uniqueness of Leray solutions of the forced Navier-Stokes equations, 28/06/2022, 16:30 Europe/Rome
by maria.stella.gelli＠unipi.it 23 Jun '22

23 Jun '22

Title: Non-uniqueness of Leray solutions of the forced Navier-Stokes equations, Speaker(s): Elia Bruè, Institute for Advanced Study (Princeton), Date and time: 28 Jun 2022, 16:30 (Europe/Rome), Lecture series: Analysis Seminar, Venue: Dipartimento di Matematica (Aula Magna). You can access the full event here: https://events.dm.unipi.it/e/100 Abstract -------- In his seminal work, Leray demonstrated the existence of global weak solutions, with nonincreasing energy, to the Navier-Stokes equations in three dimensions. In this talk, we exhibit two distinct Leray solutions with zero initial velocity and identical body force. Building on a recent work of Vishik, we construct a linear unstable self-similar solution to the 3D Navier-Stokes with force. We employ the linear instability of the latter to build the second solution, which is a trajectory on the unstable manifold, in accordance with the predictions of Jia and Šverák. -- Indico :: Email Notifier https://events.dm.unipi.it/e/100

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[Indico] Salvatore Stuvard, Existence of canonical multi-phase Brakke flows-VAREG seminar, 25/05/2022, 16:00 Europe/Rome
by maria.stella.gelli＠unipi.it 25 May '22

25 May '22

Title: Existence of canonical multi-phase Brakke flows-VAREG seminar, Speaker(s): Salvatore Stuvard, Università degli Studi di Milano, Date and time: 25 May 2022, 16:00 (Europe/Rome), Lecture series: Analysis Seminar, Venue: room Sala Seminari. You can access the full event here: https://events.dm.unipi.it/e/94 Abstract -------- VAREG-Seminar -Abstract -- Indico :: Email Notifier https://events.dm.unipi.it/e/94

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[Indico] Prof. Eduard Feireisl, Long time behavior of solutions to open fluid systems, 25/05/2022, 17:00 Europe/Rome
by maria.stella.gelli＠unipi.it 25 May '22

25 May '22

Title: Long time behavior of solutions to open fluid systems, Speaker(s): Prof. Eduard Feireisl, Institute of Mathematics, Czech Academy of Sciences, Date and time: 25 May 2022, 17:00 (Europe/Rome), Lecture series: Analysis Seminar, Venue: room Sala Seminari. You can access the full event here: https://events.dm.unipi.it/e/93 Abstract -------- We consider the physically relevant fully compressible setting of the Rayleigh-Benard problem of a fluid confined between two parallel plates, heated from the bottom, and subjected to the gravitational force. Under suitable restrictions imposed on the constitutive relations we show that this open system is dissipative in the sense of Levinson, meaning there exists a bounded absorbing set for any global-in-time weak solution. In addition, global-in-time trajectories are asymptotically compact in suitable topologies and the system possesses a global compact trajectory attractor. The standard technique of Krylov and Bogolyubov then yields the existence of an invariant measure - a stationary statistical solution sitting on the global attractor. In addition, the Birkhoff--Khinchin ergodic theorem provides convergence of ergodic averages of solutions belonging to the attractor a.s. with respect to the invariant measure. -- Indico :: Email Notifier https://events.dm.unipi.it/e/93

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[Indico] Salvatore Stuvard, Existence of canonical multi-phase Brakke flows-VAREG seminar, 25/05/2022, 16:00 Europe/Rome
by maria.stella.gelli＠unipi.it 23 May '22

23 May '22

Title: Existence of canonical multi-phase Brakke flows-VAREG seminar, Speaker(s): Salvatore Stuvard, Università degli Studi di Milano, Date and time: 25 May 2022, 16:00 (Europe/Rome), Lecture series: Analysis Seminar, Venue: room Sala Seminari. You can access the full event here: https://events.dm.unipi.it/e/94 Abstract -------- VAREG-Seminar -Abstract -- Indico :: Email Notifier https://events.dm.unipi.it/e/94

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[Indico] Prof. Eduard Feireisl, Long time behavior of solutions to open fluid systems, 25/05/2022, 17:00 Europe/Rome
by maria.stella.gelli＠unipi.it 23 May '22

23 May '22

Title: Long time behavior of solutions to open fluid systems, Speaker(s): Prof. Eduard Feireisl, Institute of Mathematics, Czech Academy of Sciences, Date and time: 25 May 2022, 17:00 (Europe/Rome), Lecture series: Analysis Seminar, Venue: room Sala Seminari. You can access the full event here: https://events.dm.unipi.it/e/93 Abstract -------- Abstract. -- Indico :: Email Notifier https://events.dm.unipi.it/e/93

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[Indico] Angela Pistoia, Segregated solutions for some nonlinear Schrödinger systems, 04/05/2022, 17:00 Europe/Rome
by maria.stella.gelli＠unipi.it 02 May '22

02 May '22

Title: Segregated solutions for some nonlinear Schrödinger systems, Speaker(s): Angela Pistoia, Sapienza Università di Roma, Date and time: 4 May 2022, 17:00 (Europe/Rome), Lecture series: Analysis Seminar, Venue: Department of Mathematics (Aula Magna). You can access the full event here: https://events.dm.unipi.it/e/91 Abstract -------- Abstract. I will focus on the existence and multiplicity of positive non-radial solutions for some systems of Schrödinger equations in a weak fully attractive or repulsive regime in presence or in absence of an external radial trapping. The results have been obtained in collaboration with Haixia Chen (Central China Normal University, Wuhan), Maria Medina (Universidad Autonoma de Madrid ) and Giusi Vaira (Università di Bari). -- Indico :: Email Notifier https://events.dm.unipi.it/e/91

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