AGAPI Research group (CSIC-UAM-UPM)

On Non-uniqueness of Leray-Hopf Solutions to Navier Stokes (Ladysenskaya Problem)

Program

Fall-Winter 2022-23

November 23rd 2022. 17:00-19:00: Marcos Solera (UAM) Jia Sverak 1
The reading course is about the approach suggested by Jia-Sverak to prove non uniqueness of weak solutions for Navier Stokes analyzing selfsimilar Variables. We will carefully read the paperand cover the relevant background. The main references are [1] H. Jia and V. Sverák. Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions. Invent. Math., 196(1):233–265, 2014. [2] H. Jia and V. Sverák. Are the incompressible 3d Navier-Stokes equations locally ill-posed in the natural energy space J. Funct. Anal., 268(12):3734–3766, 2015.
November 30th 2022. 17:00-19:00: Marcos Solera (UAM) Jia Sverak 2
The reading course is about the approach suggested by Jia-Sverak to prove non uniqueness of weak solutions for Navier Stokes analyzing selfsimilar Variables. We will carefully read the paperand cover the relevant background. The main references are [1] H. Jia and V. Sverák. Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions. Invent. Math., 196(1):233–265, 2014. [2] H. Jia and V. Sverák. Are the incompressible 3d Navier-Stokes equations locally ill-posed in the natural energy space J. Funct. Anal., 268(12):3734–3766, 2015.
December 6th 2022. 17:00-19:00: Claudia García (UAM) Jia Sverak 3
The reading course is about the approach suggested by Jia-Sverak to prove non uniqueness of weak solutions for Navier Stokes analyzing selfsimilar Variables. We will carefully read the paperand cover the relevant background. The main references are [1] H. Jia and V. Sverák. Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions. Invent. Math., 196(1):233–265, 2014. [2] H. Jia and V. Sverák. Are the incompressible 3d Navier-Stokes equations locally ill-posed in the natural energy space J. Funct. Anal., 268(12):3734–3766, 2015.
December 13th 2022. 17:00-19:00: Bjron Gebhard (UAM) Jia Sverak 4
The reading course is about the approach suggested by Jia-Sverak to prove non uniqueness of weak solutions for Navier Stokes analyzing selfsimilar Variables. We will carefully read the paperand cover the relevant background. The main references are [1] H. Jia and V. Sverák. Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions. Invent. Math., 196(1):233–265, 2014. [2] H. Jia and V. Sverák. Are the incompressible 3d Navier-Stokes equations locally ill-posed in the natural energy space J. Funct. Anal., 268(12):3734–3766, 2015.
December 20th 2022. 17:00-19:00: Bjron Gebhard (UAM) Jia Sverak 5
The reading course is about the approach suggested by Jia-Sverak to prove non uniqueness of weak solutions for Navier Stokes analyzing selfsimilar Variables. We will carefully read the paperand cover the relevant background. The main references are [1] H. Jia and V. Sverák. Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions. Invent. Math., 196(1):233–265, 2014. [2] H. Jia and V. Sverák. Are the incompressible 3d Navier-Stokes equations locally ill-posed in the natural energy space J. Funct. Anal., 268(12):3734–3766, 2015.
December 21st 2022. 17:00-19:00: Claudia García (UAM) Jia Sverak 6
The reading course is about the approach suggested by Jia-Sverak to prove non uniqueness of weak solutions for Navier Stokes analyzing selfsimilar Variables. We will carefully read the paperand cover the relevant background. The main references are [1] H. Jia and V. Sverák. Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions. Invent. Math., 196(1):233–265, 2014. [2] H. Jia and V. Sverák. Are the incompressible 3d Navier-Stokes equations locally ill-posed in the natural energy space J. Funct. Anal., 268(12):3734–3766, 2015.
February 4th 2023. 17:00-19:00: Marcos Solera (UAM) Jia Sverak 7
The reading course is about the approach suggested by Jia-Sverak to prove non uniqueness of weak solutions for Navier Stokes analyzing selfsimilar Variables. We will carefully read the paperand cover the relevant background. The main references are [1] H. Jia and V. Sverák. Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions. Invent. Math., 196(1):233–265, 2014. [2] H. Jia and V. Sverák. Are the incompressible 3d Navier-Stokes equations locally ill-posed in the natural energy space J. Funct. Anal., 268(12):3734–3766, 2015.
February 11th 2023. 17:00-19:00: Bjron Gebhard (UAM) Jia Sverak 8
The reading course is about the approach suggested by Jia-Sverak to prove non uniqueness of weak solutions for Navier Stokes analyzing selfsimilar Variables. We will carefully read the paperand cover the relevant background. The main references are [1] H. Jia and V. Sverák. Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions. Invent. Math., 196(1):233–265, 2014. [2] H. Jia and V. Sverák. Are the incompressible 3d Navier-Stokes equations locally ill-posed in the natural energy space J. Funct. Anal., 268(12):3734–3766, 2015.
February 17th 2023. 17:00-19:00: Marcos Solera (UAM) Jia Sverak 9
The reading course is about the approach suggested by Jia-Sverak to prove non uniqueness of weak solutions for Navier Stokes analyzing selfsimilar Variables. We will carefully read the paperand cover the relevant background. The main references are [1] H. Jia and V. Sverák. Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions. Invent. Math., 196(1):233–265, 2014. [2] H. Jia and V. Sverák. Are the incompressible 3d Navier-Stokes equations locally ill-posed in the natural energy space J. Funct. Anal., 268(12):3734–3766, 2015.

Venue ^

UAM - Facultad de Ciencias - Matemáticas

Departamento de Matemáticas, aula C-17-520
Departamento de Matemáticas
Universidad Autónoma de Madrid - Facultad de Ciencias
Campus de Cantoblanco
Madrid, Spain

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