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Alexander Shnirelman - Topics in Mathematical Fluid Dynamics / Part 7
The Ideal Incompressible Fluid is the most fundamental model of a continuous media. In this model, the configuration space of the fluid is the group D of volume- preserving diffeomorphisms of the flow domain M. D is an infinite-dimensonal manifold endowed with a weak Riemannian metric (the kinetic energy). The fluid flows (in the absence of the external forces) are the geodesics in this metric. There are two basic problems about the geodesics:
Find the geodesic trajectory for the given initial fluid configuration and velocity (the initial-value problem);
Find the geodesic for given fluid configurations at two different time moments, say at t=0 and t=1 (the 2-point problem).
Unfortunately we had an audio equipment failure. The sound will be back at 20:29.
Переглядів: 92

Відео

Alexander Shnirelman - Topics in Mathematical Fluid Dynamics / Part 6
Переглядів 6314 днів тому
The Ideal Incompressible Fluid is the most fundamental model of a continuous media. In this model, the configuration space of the fluid is the group D of volume- preserving diffeomorphisms of the flow domain M. D is an infinite-dimensonal manifold endowed with a weak Riemannian metric (the kinetic energy). The fluid flows (in the absence of the external forces) are the geodesics in this metric....
Alexander Shnirelman - Topics in Mathematical Fluid Dynamics / Part 5
Переглядів 334Місяць тому
The Ideal Incompressible Fluid is the most fundamental model of a continuous media. In this model, the configuration space of the fluid is the group D of volume- preserving diffeomorphisms of the flow domain M. D is an infinite-dimensonal manifold endowed with a weak Riemannian metric (the kinetic energy). The fluid flows (in the absence of the external forces) are the geodesics in this metric....
Alexander Shnirelman - Topics in Mathematical Fluid Dynamics / Part 4
Переглядів 138Місяць тому
The Ideal Incompressible Fluid is the most fundamental model of a continuous media. In this model, the configuration space of the fluid is the group D of volume- preserving diffeomorphisms of the flow domain M. D is an infinite-dimensonal manifold endowed with a weak Riemannian metric (the kinetic energy). The fluid flows (in the absence of the external forces) are the geodesics in this metric....
Alexander Shnirelman - Topics in Mathematical Fluid Dynamics / Part 3
Переглядів 89Місяць тому
The Ideal Incompressible Fluid is the most fundamental model of a continuous media. In this model, the configuration space of the fluid is the group D of volume- preserving diffeomorphisms of the flow domain M. D is an infinite-dimensonal manifold endowed with a weak Riemannian metric (the kinetic energy). The fluid flows (in the absence of the external forces) are the geodesics in this metric....
Alexander Shnirelman - Topics in Mathematical Fluid Dynamics / Part 2
Переглядів 131Місяць тому
The Ideal Incompressible Fluid is the most fundamental model of a continuous media. In this model, the configuration space of the fluid is the group D of volume- preserving diffeomorphisms of the flow domain M. D is an infinite-dimensonal manifold endowed with a weak Riemannian metric (the kinetic energy). The fluid flows (in the absence of the external forces) are the geodesics in this metric....
Alexander Shnirelman - Topics in Mathematical Fluid Dynamics / Part 1
Переглядів 301Місяць тому
The Ideal Incompressible Fluid is the most fundamental model of a continuous media. In this model, the configuration space of the fluid is the group D of volume- preserving diffeomorphisms of the flow domain M. D is an infinite-dimensonal manifold endowed with a weak Riemannian metric (the kinetic energy). The fluid flows (in the absence of the external forces) are the geodesics in this metric....
In conversation about UNIVERSE+
Переглядів 8513 місяці тому
We celebrated the highly successful start to the ERC Synergy project “UNIVERSE Positive Geometry in Particle Physics and Cosmology”. In this video interview, the project leaders, Johannes Henn from the Max Planck Institute for Physics in Munich, Daniel Baumann from the University of Amsterdam, and our director Bernd Sturmfels, share profound insights into the project’s objectives as well as the...
In Conversation with Svitlana Mayboroda
Переглядів 4775 місяців тому
Lukas Hauger (MPI MiS) asks Svitlana Mayboroda (ETH Zürich) questions about her work, wave localization and mathematics in general. Timestamps: 00:00:00 Intro 00:00:59 Research 00:04:04 Wave Localization Research 00:05:28 Path to Mathematics 00:06:58 International Reasearch 00:08:16 Ukraine 00:10:43 Women in Mathematical Research 00:12:11 Collaborations 00:13:50 Important Skills for Mathematici...
Ladyzhenskaya Lecture 2023 | Svitlana Mayboroda - Wave Localization
Переглядів 6055 місяців тому
Svitlana Mayboroda (ETH Zürich) Wave Localization Waves of all kinds permeate our world. We are surrounded by light (electromagnetic waves), sound (acoustic waves), and mechanical vibrations. Quantum mechanics revealed that, at the atomic level, all matter has a wavelike character. And it was only recently that classical gravitational waves were detected. At the cutting edge of today's science,...
In conversation with June Huh
Переглядів 17 тис.7 місяців тому
Two PhD students, Laura Casabella (MPI MiS) and Dante Luber (TU Berlin), ask June Huh (Princeton University) questions about his work, winning the Fields medal and mathematics in general. Unfortunately we had an audio equipment failure, please enable subtitles. Timestamps: 00:00:00 Intro 00:01:03 Research 00:01:49 Lorentzian polynomials 00:03:05 Examples 00:04:07 Open problems 00:04:44 What's b...
Shocking Developments: New Directions in Compressible and Incompressible Flows // Roman Shvydkoy
Переглядів 20711 місяців тому
Shocking Developments: New Directions in Compressible and Incompressible Flows // Roman Shvydkoy
Shocking Developments: New Directions in Compressible and Incompressible Flows // Peter Constantin
Переглядів 21011 місяців тому
Shocking Developments: New Directions in Compressible and Incompressible Flows // Peter Constantin
Shocking Developments: New Directions in Compressible and Incompressible Flows // Moon-Jin Kang
Переглядів 14811 місяців тому
Shocking Developments: New Directions in Compressible and Incompressible Flows // Moon-Jin Kang
Shocking Developments: New Directions in Compressible and Incompressible Flows // Raphaël Danchin
Переглядів 13711 місяців тому
Shocking Developments: New Directions in Compressible and Incompressible Flows // Raphaël Danchin
Shocking Developments: New Directions in Compressible and Incompressible Flows /Laurent Desvillettes
Переглядів 8611 місяців тому
Shocking Developments: New Directions in Compressible and Incompressible Flows /Laurent Desvillettes
Shocking Developments: New Directions in Compressible and Incompressible Flows // Matthew Novack
Переглядів 11211 місяців тому
Shocking Developments: New Directions in Compressible and Incompressible Flows // Matthew Novack
Shocking Developments: New Directions in Compressible and Incompressible Flows // François Golse
Переглядів 9211 місяців тому
Shocking Developments: New Directions in Compressible and Incompressible Flows // François Golse
Shocking Developments: New Directions in Compressible and Incompressible Flows // Thierry Goudon
Переглядів 6311 місяців тому
Shocking Developments: New Directions in Compressible and Incompressible Flows // Thierry Goudon
Shocking Developments: New Directions in Compressible and Incompressible Flows // Laurel Ohm
Переглядів 6711 місяців тому
Shocking Developments: New Directions in Compressible and Incompressible Flows // Laurel Ohm
Shocking Developments: New Directions in Compressible and Incompressible Flows // Gui-Qiang Chen
Переглядів 17311 місяців тому
Shocking Developments: New Directions in Compressible and Incompressible Flows // Gui-Qiang Chen
Shocking Developments: New Directions in Compressible and Incompressible Flows // Alessio Figalli
Переглядів 18811 місяців тому
Shocking Developments: New Directions in Compressible and Incompressible Flows // Alessio Figalli
Shocking Developments: New Directions in Compressible and Incompressible Flows /Pierre-EmmanuelJabin
Переглядів 8011 місяців тому
Shocking Developments: New Directions in Compressible and Incompressible Flows /Pierre-EmmanuelJabin
Shocking Developments: New Directions in Compressible and Incompressible Flows // Yann Brenier
Переглядів 19511 місяців тому
Shocking Developments: New Directions in Compressible and Incompressible Flows // Yann Brenier
Shocking Developments: New Directions in Compressible and Incompressible Flows // Maria Gualdani
Переглядів 11611 місяців тому
Shocking Developments: New Directions in Compressible and Incompressible Flows // Maria Gualdani
Shocking Developments: New Directions in Compressible and Incompressible Flows // Luis Silvestre
Переглядів 13011 місяців тому
Shocking Developments: New Directions in Compressible and Incompressible Flows // Luis Silvestre
Shocking Developments: New Directions in Compressible and Incompressible Flows // Denis Serre
Переглядів 8811 місяців тому
Shocking Developments: New Directions in Compressible and Incompressible Flows // Denis Serre
Shocking Developments: New Directions in Compressible and Incompressible Flows // Cyril Imbert
Переглядів 8511 місяців тому
Shocking Developments: New Directions in Compressible and Incompressible Flows // Cyril Imbert
Shocking Developments: New Directions in Compressible and Incompressible Flows // Felix Otto
Переглядів 22111 місяців тому
Shocking Developments: New Directions in Compressible and Incompressible Flows // Felix Otto
Anomalous Dissipation and the Strong Onsager Conjecture // Matthew Novack // Part 2 // @mpiMathSci
Переглядів 24911 місяців тому
Anomalous Dissipation and the Strong Onsager Conjecture // Matthew Novack // Part 2 // @mpiMathSci

КОМЕНТАРІ

  • @CaptainPhilosophical
    @CaptainPhilosophical 17 днів тому

    Questions in a box are either answered or not. So until you open the box the questions are simultaneously answered and not answered

  • @arlenestanton9955
    @arlenestanton9955 27 днів тому

    Read the transcript

  • @Deereklops
    @Deereklops Місяць тому

    This was really motivational and helpful. Thanks for delivering this interview and thanks to June Huh.

  • @BruceCooper-dc8bc
    @BruceCooper-dc8bc Місяць тому

    Wow the sound is awful!

  • @Chuchuguitar
    @Chuchuguitar Місяць тому

    Well played Hans Kim!

  • @xyz.......494
    @xyz.......494 Місяць тому

    Bad audio quality

  • @user-jy3if4pn7x
    @user-jy3if4pn7x Місяць тому

    wonderful

  • @kmunson007
    @kmunson007 Місяць тому

    Not sure why I clicked on this, but I am so glad that I did. What an inspiration he is. The best part? I suspect he would not think of himself in that way. And to attribute a lot, even most, of his success to luck, very humble. Boy did I need to hear this as I am feeling stuck in the journey I am on (related to mathematics). I am renewed!

  • @migfed
    @migfed Місяць тому

    This guy's need desperately a couple of good mics!

  • @fredrikfalkerstedt2134
    @fredrikfalkerstedt2134 Місяць тому

    The audio quality is painfully bad.

  • @MinecraftMasterNo1
    @MinecraftMasterNo1 Місяць тому

    Is it the month of May? June. Huh?

  • @elziraaparecidadossantos9395
    @elziraaparecidadossantos9395 3 місяці тому

    Nima arkani é um, visionário.

  • @linzihong9520
    @linzihong9520 3 місяці тому

    such uninspiring questions... and yet he still managed to give interesting answers to many of them

  • @kimbuktu6117
    @kimbuktu6117 4 місяці тому

    This is very informative!! Thank you!

  • @ivanc2863
    @ivanc2863 4 місяці тому

    love it. im not a mathematician or anywhere in academia, a film student actually, and i love there's this poetic-ness in the way june speaks.

  • @Simon-xi8tb
    @Simon-xi8tb 4 місяці тому

    When I'm met with a math problem that I don't know how to solve, I just go "Huh?"

  • @daddyneedsmilk4562
    @daddyneedsmilk4562 4 місяці тому

    nice sound quality! lmao

    • @mpiMathSci
      @mpiMathSci 4 місяці тому

      Unfortunately we had an equipment failure and had to fall back to in-built mics and sound reconstruction to even be able to get this out of it. Sorry about that. We've added subtitles though.

  • @jisoo-wk5bk
    @jisoo-wk5bk 5 місяців тому

    👍👍

  • @jisoo-wk5bk
    @jisoo-wk5bk 5 місяців тому

  • @edzielinski
    @edzielinski 5 місяців тому

    Excellent. Thank you. **For anyone concerned about the audio quality, I have found that turning on the closed captions works quite well.

  • @garcia-rubio
    @garcia-rubio 5 місяців тому

    Everyone talking about the audio 🙄🤦🏻‍♀️

  • @AlgoNudger
    @AlgoNudger 5 місяців тому

    Thanks.

  • @MoonMan_Lpz
    @MoonMan_Lpz 5 місяців тому

    Allegations of serious fraud involving doctoral theses in physics have emerged at the MPI MiS in Leipzig. It is alleged that Max Planck fellows have copied numerous pages of articles from their professors, who also act as supervisors at the MPI MiS. The university is already investigating the matter. Why is nothing being heard from the MPI MiS? It is important to note that the Max Planck Society financed the years of fraud and paid the doctoral students generous salaries.

    • @mpiMathSci
      @mpiMathSci 5 місяців тому

      We are aware of the allegations. However, it is policy of the MPI MiS not to comment on ongoing University procedures.

  • @MoonMan_Lpz
    @MoonMan_Lpz 5 місяців тому

    Am Leipziger MPI MiS soll es zu schwerem Betrug mit Physik-Doktorarbeiten gekommen sein. Max-Planck-Stipendiaten haben seitenweise aus Artikeln ihrer Professoren abgeschrieben, die wiederum als Betreuer des MPI MiS fungieren. Die Uni führt bereits eine Untersuchung dazu. Warum hört man vom MPI MiS nichts? Schließlich hat die Max-Planck-Gesellschaft die jahrelangen Betrügereien finanziert und den Doktoranden üppige Gehälter gezahlt.

    • @mpiMathSci
      @mpiMathSci 5 місяців тому

      Die Vorwürfe sind uns bekannt. Es ist jedoch die Richtlinie des MPI MiS, laufende Hochschulverfahren nicht zu kommentieren.

  • @persistenthomology
    @persistenthomology 5 місяців тому

    It seems like everyone is wearing mics. Did the mics fail, or is using the room sound an error on the video production side? Edit: I'm about halfway in, and even at maximum volume on my laptop it's difficult to make out some of what is being said. If there is any way the audio can be fixed (or even improved) and the video re-uploaded, we would all be greatly appreciative!

    • @mpiMathSci
      @mpiMathSci 5 місяців тому

      Unfortunately we had an equipment failure and had to fall back to in-built mics and sound reconstruction to even be able to get this out of it. Sorry about that. We've added subtitles though.

  • @minseoksong4714
    @minseoksong4714 6 місяців тому

    It's a shame that the audio quality is so bad

    • @mpiMathSci
      @mpiMathSci 5 місяців тому

      Unfortunately we had an equipment failure and had to fall back to in-built mics and sound reconstruction to even be able to get this out of it. Sorry about that. We've added subtitles though.

    • @user-nk4bj9gb4e
      @user-nk4bj9gb4e 5 місяців тому

      Thank you so much, and thanks for interviewing him!

    • @omerelhagahmed551
      @omerelhagahmed551 2 місяці тому

      @@mpiMathSci I recommend reproducing the audio quality by a profesional and upload it again, cause It's a real problem

    • @bini420
      @bini420 2 дні тому

      @@omerelhagahmed551 agreed

  • @buddhistjustbud
    @buddhistjustbud 7 місяців тому

    Mr. Huh, Poet turned Mathematician is one of my inspirations in today’s world!

    • @buddhistjustbud
      @buddhistjustbud 7 місяців тому

      Rather now he’s both poet and mathematician 😊

  • @watcher8582
    @watcher8582 Рік тому

    Probably not necessary to go on tangent about race relations. Either way, I wish them success on their goal of putting their statistics applications on the map.

  • @amirabsoud
    @amirabsoud Рік тому

    Legend !

  • @NOUREDDINB1
    @NOUREDDINB1 2 роки тому

    love and enjoy every piece of math ( Algabriac Statistics) you produce ...

  • @buddhahalder780
    @buddhahalder780 2 роки тому

    Excellent discussion.. also it would be good to organise discussions on emergence of India's right-wing presence on social media.

  • @ShadowZZZ
    @ShadowZZZ 2 роки тому

    Interesting.

  • @jennytasiopoulou3453
    @jennytasiopoulou3453 2 роки тому

    Great talk. Thank you.

  • @tuongnguyen9391
    @tuongnguyen9391 3 роки тому

    optimized calibration of combustion engine link please ?

  • @sergiogerardogomezgalicia4272
    @sergiogerardogomezgalicia4272 3 роки тому

    Great. It's also a very enjoyable book

  • @jesuisquunamour
    @jesuisquunamour 3 роки тому

    interesting! thank you :)

  • @jonaidrovo3947
    @jonaidrovo3947 3 роки тому

    Hello, I started reading the book and I wanted to know if I could find the solutions of the exercises (chapter 1), since I cannot do all of them by myself. Can you help me ?

    • @mpiMathSci
      @mpiMathSci 3 роки тому

      Dear Jona, unfortunately there are no solution sheets available for this book. Perhaps you can try a forum or study group.

  • @muhammadfarrukh8005
    @muhammadfarrukh8005 3 роки тому

    Hiw can i have all lectures

    • @mpiMathSci
      @mpiMathSci 3 роки тому

      You can find all lectures in this series in the "Twelve lectures on Tropical Geometry" playlist: ua-cam.com/play/PLRy_Pn1LtSpfYE39TuCZrJAi7-0z44sQB.html

  • @williamb9895
    @williamb9895 3 роки тому

    9:45

  • @vruz
    @vruz 3 роки тому

    I'm trying to guess how Petri Net theory and BPMN knowledge can be reused. There's so much overlap that creating yet another formal graphical language to describe games seems overkill.

  • @kimbuktu6117
    @kimbuktu6117 3 роки тому

    Go Bernd!

  • @bryanbischof4351
    @bryanbischof4351 4 роки тому

    Is there a technical talk available on the new structures?

    • @mpiMathSci
      @mpiMathSci 4 роки тому

      A paper is in the works, after that Noémie will probably prepare something. There is a talk on operads though: www.mis.mpg.de/calendar/lectures/2020/abstract-31522.html