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Home » Incompressible Fluid Flows at High Reynolds Number

Summer Graduate School

Incompressible Fluid Flows at High Reynolds Number July 27, 2015 - August 07, 2015
Location: MSRI: Simons Auditorium
Organizers Jacob Bedrossian (University of Maryland), LEAD Vlad Vicol (Princeton University)
Lecturer(s)

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Speaker(s)

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Description

The purpose of this two week workshop is to introduce graduate students to state-of-the-art methods and results in mathematical fluid dynamics. In the first week, we will discuss the mathematical foundations and modern analysis aspects of the Navier-Stokes and Euler equations. In the second week, we will run two courses concurrently on the topics of inviscid limits and hydrodynamic stability. Specifically, one course will focus on boundary layers in high Reynolds number flows and the Prandtl equations while the other will focus on mixing and connections to turbulence. Through the lectures and associated problem sessions, the students will learn about a number of new analysis tools and principles of fluid mechanics that are not always taught in a graduate school curriculum.

Bibliography (PDF)
Bibliography from Organizers
Homework_1
Lectures Day_1
Appendices
Lectures Day_2
Lectures Day 3
Lectures Day 4

FujitaKatNotes

Lectures Day 5

HW2

MSRI_Onsager_notes

StabilityNotesI

PrandtlNotes

JacobcourseIII

Group Photo

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For eligibility and how to apply, see the Summer Graduate Workshop homepage

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Secondary Mathematics Subject Classification No Secondary AMS MSC
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Schedule
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Jul 27, 2015
Monday
08:45 AM - 09:00 AM
  MSRI Intro
09:00 AM - 10:30 AM
  Lecture
Vlad Vicol (Princeton University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Teaching Assistant Session
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 03:00 PM
  Lecture
Jacob Bedrossian (University of Maryland)
03:00 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Teaching Assistant Session
Jul 28, 2015
Tuesday
09:00 AM - 10:30 AM
  Lecture
Vlad Vicol (Princeton University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Teaching Assistant Session
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 03:00 PM
  Lecture
Jacob Bedrossian (University of Maryland)
03:00 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Teaching Assistant Session
Jul 29, 2015
Wednesday
08:30 AM - 10:00 AM
  Lecture
Vlad Vicol (Princeton University)
10:00 AM - 10:30 AM
  Break
10:30 AM - 11:30 AM
  Teaching Assistant Session
11:30 AM - 02:00 PM
  BBQ Lunch
02:00 PM - 03:30 PM
  Lecture
Vlad Vicol (Princeton University)
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Teaching Assistant Session
Jul 30, 2015
Thursday
09:00 AM - 10:30 AM
  Lecture
Jacob Bedrossian (University of Maryland)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Teaching Assistant Session
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 03:00 PM
  Lecture
Jacob Bedrossian (University of Maryland)
03:00 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Teaching Assistant Session
Jul 31, 2015
Friday
09:00 AM - 10:30 AM
  Lecture
Jacob Bedrossian (University of Maryland)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Teaching Assistant Session
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 03:00 PM
  Lecture
Vlad Vicol (Princeton University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 05:00 PM
  Lecture
Roman Shvydkoy (University of Illinois, Chicago)
Aug 03, 2015
Monday
09:00 AM - 10:30 AM
  Lecture
Vlad Vicol (Princeton University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Teaching Assistant Session
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 03:00 PM
  Lecture
Jacob Bedrossian (University of Maryland)
03:00 PM - 03:30 PM
  Tea
04:00 PM - 05:00 PM
  Teaching Assistant Session
Aug 04, 2015
Tuesday
09:00 AM - 10:30 AM
  Lecture
Vlad Vicol (Princeton University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Teaching Assistant Session
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 03:00 PM
  Lecture
Jacob Bedrossian (University of Maryland)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 05:00 PM
  Lecture
Roman Shvydkoy (University of Illinois, Chicago)
Aug 05, 2015
Wednesday
09:00 AM - 10:30 AM
  Lecture
Vlad Vicol (Princeton University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Teaching Assistant Session
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 03:00 PM
  Lecture
Jacob Bedrossian (University of Maryland)
03:00 PM - 04:00 PM
  Tea
03:30 PM - 05:00 PM
  Lecture
Roman Shvydkoy (University of Illinois, Chicago)
Aug 06, 2015
Thursday
09:00 AM - 10:30 AM
  Lecture
Vlad Vicol (Princeton University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Teaching Assistant Session
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 03:00 PM
  Lecture
Jacob Bedrossian (University of Maryland)
03:00 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Teaching Assistant Session
Aug 07, 2015
Friday
09:00 AM - 10:30 AM
  Lecture
Vlad Vicol (Princeton University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Teaching Assistant Session
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 03:00 PM
  Lecture
Jacob Bedrossian (University of Maryland)
03:00 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Teaching Assistant Session