Graduate Analysis Seminar


Spring 2019
Organizers: Juhi Jang, Igor Kukavica, and Nabil Ziane


Mon Feb 4 12:00-1:00

David Massatt:

De Rham Decomposition, Part 1 (after Wang)


Mon Feb 11 1:00-2:00

David Massatt:

De Rham Decomposition, Part 2 (after Wang)


Mon Feb 25 1:00-2:00

David Massatt:

Strong Lp solutions of the Navier-Stokes equation in R^m, Part 1 (after Kato)


Mon Mar 4 1:00-2:00

David Massatt:

Strong Lp solutions of the Navier-Stokes equation in R^m, Part 2 (after Kato)


Mon Mar 18 1:00-2:00

Linfeng Li:

Remarks on the breakdown of smooth solutions for the 3-D Euler equations I (after Beale-Kato-Majda)


Mon Apr 1 1:00-2:00

Linfeng Li:

Remarks on the breakdown of smooth solutions for the 3-D Euler equations II (after Beale-Kato-Majda)


Mon Apr 8 1:00-2:00

David Massatt:

Calderon-Zygmund theorem I


Mon Apr 15 1:00-2:00

David Massatt:

Calderon-Zygmund theorem II



Fall 2018
Organizers: Juhi Jang, Igor Kukavica, and Nabil Ziane


Mon Nov 26 2:00-3:00

David Massatt:

Maximum Principle for the Heat Equation


Mon Dec 10 1:00-2:00

David Massatt:

Navier-Stokes equations, Part 1 (after the book by Constantin and Foias)


Mon Dec 17 1:00-2:00

David Massatt:

Gagliardo-Nirenberg inequalities (after Nirenberg)

Linfeng Li:

Poincare inequality (after Constantin-Foias)


Spring 2018
Organizers: Juhi Jang, Igor Kukavica, and Nabil Ziane


Wed Jan 24 4:30-5:30

Guher Camliyurt:

Carleman estimates I (Kenig)


Fri Jan 26 3:00-3:50

Zhanerke Temirgaliyeva:

Semigroups of operators


Wed Jan 31 4:30-6:00

Guher Camliyurt:

Carleman estimates II (Kenig)


Fri Feb 2 4:30-5:15

Zachary Wickham:

Stochastic NSE I (Flandoli)

5:15-6:00

Weinan Wang:

Kato-Ponce inequality I (Kato-Ponce)


Wed Feb 7 4:30-6:00

Guher Camliyurt:

Carleman estimates III (Lerner)


Fri Feb 9 4:30-6:00

Zachary Wickham:

Stochastic NSE II (Flandoli)


Wed Feb 14 3:30-4:30

Guher Camliyurt:

Carleman estimates IV (Lerner)


Wed Feb 21 3:30-4:15

Zachary Wickham:

Stochastic NSE III (Flandoli)

4:15-5:00

Guher Camliyurt:

Carleman estimates V (Lerner)


Wed Feb 28 3:30-4:15

Guher Camliyurt:

Carleman estimates VI (Lerner)

4:15-5:00

Zachary Wickham:

Stochastic NSE IV (Flandoli)


Wed Mar 7 4:00-4:45

Zachary Wickham:

Stochastic NSE V (Flandoli)

4:45-5:30

Guher Camliyurt:

Carleman estimates VII (Lerner)


Wed Mar 21 3:30-4:15

Zachary Wickham:

Bochner integral

4:15-5:00

Guher Camliyurt:

Carleman estimates VIII (Lerner)


Fri Apr 6 3:00-4:00

Calum Rickard:

Global smooth solutions to Euler equations for a perfect gas (Grassin)


Wed Apr 11 3:30-4:30

Calum Rickard:

Global smooth solutions to Euler equations for a perfect gas II (Grassin)


Wed Apr 18 3:30-4:15

Calum Rickard:

Global smooth solutions to Euler equations for a perfect gas III (Grassin)

4:15-5:00

Zhanerke Temirgaliyeva:

Global smooth solutions to the n-dimensional damped model of Euler equation (Wu-Xu-Ye)


Wed Apr 25 3:30-4:15

Zhanerke Temirgaliyeva:

Global smooth solutions to the n-dimensional damped model of Euler equation II (Wu-Xu-Ye)




Fall 2017
Organizers: Igor Kukavica and Nabil Ziane

Monday, August 28, 2017, 1-1:50, KAP 245

Zhanerke Temirgaliyeva:

Euler equations of incompressible perfect fluid I (Temam)


Friday, September 1, 2017, 1-1:50, KAP 245

Weinan Wang:

Weak solutions to the Navier-Stokes equations in R^n I


Friday, September 8, 2017, 1-1:50, KAP 245

Weinan Wang:

Weak solutions to the Navier-Stokes equations in R^n II


Friday, September 15, 2017, 1-1:50, KAP 245

Weinan Wang:

Weak solutions to the Navier-Stokes equations in R^n III


Monday, September 18, 2017, 1-1:50, KAP 245

Zachary Wickham:

Energy methods for the Euler and the Navier-Stokes equations I (Majda-Bertozzi)


Wednesday, September 20, 2017, 1-1:50, KAP 245

Zhanerke Temirgaliyeva:

Existence of a weak solution of Navier-Stokes equations due to Leray and Hopf I


Friday, September 22, 2017, 1-1:50, KAP 245

Weinan Wang:

Decay of weak solutions to the Navier-Stokes equations I (Lemarie-Rieusset)


Monday, September 25, 2017, 1-1:50, KAP 245

Zachary Wickham:

Energy methods for the Euler and the Navier-Stokes equations II (Majda-Bertozzi)


Wednesday, September 27, 2017, 1-1:50, KAP 245

Zhanerke Temirgaliyeva:

Existence of a weak solution of Navier-Stokes equations due to Leray and Hopf II


Friday, September 29, 2017, 1-1:50, KAP 245

Weinan Wang:

Decay of weak solutions to the Navier-Stokes equations II (Lemarie-Rieusset)


Monday, October 2, 2017, 1-1:50, KAP 245

Zachary Wickham:

Energy methods for the Euler and the Navier-Stokes equations III (Majda-Bertozzi)


Wednesday, October 4, 2017, 3:30-4:20, KAP 245

Zhanerke Temirgaliyeva:

Existence of a weak solution of Navier-Stokes equations due to Leray and Hopf III


Friday, October 6, 2017, 3:30-4:20, KAP 147

Weinan Wang:

Decay of weak solutions to the Navier-Stokes equations III (Lemarie-Rieusset)


Monday, October 9, 2017, 1-1:50, KAP 245

Zachary Wickham:

Energy methods for the Euler and the Navier-Stokes equations IV (Majda-Bertozzi)


Wednesday, October 11, 2017, 3:30-4:20, KAP 245

Zhanerke Temirgaliyeva:

Existence of a weak solution of Navier-Stokes equations due to Leray and Hopf IV


Friday, October 13, 2017, 3:30-4:20, KAP 147

Weinan Wang:

Decay of weak solutions to the Navier-Stokes equations IV (Lemarie-Rieusset)


Monday, October 16, 2017, 1-1:50, KAP 245

Zachary Wickham:

Energy methods for the Euler and the Navier-Stokes equations V (Majda-Bertozzi)


Wednesday, October 18, 2017, 3:30-4:20, KAP 245

Zhanerke Temirgaliyeva:

Existence of a weak solution of Navier-Stokes equations due to Leray and Hopf V


Friday, October 20, 2017, 3:30-4:20, KAP 147

Weinan Wang:

Decay for the QGE I (F. Wang-Kukavica-Ziane)


Monday, October 23, 2017, 1-1:50, KAP 245

Zachary Wickham:

Energy methods for the Euler and the Navier-Stokes equations VI (Majda-Bertozzi)


Wednesday, October 25, 2017, 3:30-4:20, KAP 245

Zachary Wickham:

Energy methods for the Euler and the Navier-Stokes equations VII (Majda-Bertozzi)


Wednesday, November 1, 2017, 4:00-4:50, KAP 245

Zachary Wickham:

Energy methods for the Euler and the Navier-Stokes equations VIII (Majda-Bertozzi)


Wednesday, November 8, 2017, 4:00-4:50, KAP 245

Zhanerke Temirgaliyeva:

Existence of a weak solution of Navier-Stokes equations due to Leray and Hopf VI


Friday, November 10, 2017, 3:30-4:20, KAP 147

Weinan Wang:

Decay for the QGE II (F. Wang-Kukavica-Ziane)


Wednesday, November 15, 2017, 4:00-4:50, KAP 245

Zachary Wickham:

Boussinesq equations in a bounded domain I


Friday, November 10, 2017, 4:30-5:20, KAP 245

Weinan Wang:

Behavior of the 2D quasi-geostrophic equation (Constantin-Wu)


Wednesday, November 29, 2017, 4:00-4:50, KAP 147

Zachary Wickham:

Boussinesq equations in a bounded domain II




Spring 2017
Organizers: Igor Kukavica and Nabil Ziane

Monday, January 23, 2017

Fei Wang

The exponential growth of the vorticity for the Euler equations (1)


Friday, January 27, 2017

Fei Wang

The exponential growth of the vorticity for the Euler equations (2)


Monday, January 30, 2017

Fei Wang

The exponential growth of the vorticity of the Euler equations (3)


Friday, February 3, 2017

Weinan Wang

On the interior regularity of the Navier-Stokes equations (1)


Monday, February 6, 2017

Fei Wang

The exponential growth of the vorticity of the Euler equations (4)


Wednesday, February 8, 2017

Guher Camliyurt

On the possible rate of decay at infinity of 2nd order PDEs (1)


Friday, February 10, 2017

Weinan Wang

On the interior regularity of Navier-Stokes equations (2)


Monday, February 13, 2017

Fei Wang

Double exponential growth of Euler equations in a disk (1)


Wednesday, February 15, 2017

Guher Camliyurt

Carleman type inequalities


Friday, February 17, 2017

Weinan Wang

On the interior regularity of Navier-Stokes equations (3)


Wednesday, February 22, 2017

Guher Camliyurt

On the possible rate of decay at infinity of 2nd order PDEs (2)


Friday, February 24, 2017

Weinan Wang

On the interior regularity of Navier-Stokes equations (4)


Monday, February 27, 2017

Fei Wang

Double exponential growth of Euler equations in a disk (2)


Friday, March 3, 2017

Weinan Wang

On the interior regularity of Navier-Stokes equations (5)


Wednesday, March 8, 2017

Guher Camliyurt

On the possible rate of decay at infinity of 2nd order PDEs (3)


Wednesday, March 20, 2017

Guher Camliyurt

On the possible rate of decay at infinity of 2nd order PDEs (4)


Friday, March 24, 2017

Fei Wang

Landau damping (1)


Monday, March 27, 2017

Weinan Wang

Decay for the weak solutions of Navier-Stokes equations (1)


Friday, April 7, 2017

Fei Wang

Landau damping (2)


Monday, April 10, 2017

Weinan Wang

Decay for the weak solutions of Navier-Stokes equations (2)


Friday, April 14, 2017

Fei Wang

Landau damping (3)


Monday, April 17, 2017

Weinan Wang

Decay for the weak solutions of Navier-Stokes equations (3)