Department of Mathematics - RIT on Applied PDE

Organizers: C. David Levermore, Jacob Bedrossian
When: Mondays @ 3pm
Where: Math 1311
Website: http://www.terpconnect.umd.edu/~lvrmr/2018-2019-F/Classes/RIT.shtml

Archives: 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020

Organizational Meeting

Speaker: David Levermore (University of Maryland) -
When: Mon, August 26, 2019 - 3:00pm
Where: Kirwan Hall 1311

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Weakly Nonlinear Approximations for Wave Equations

Speaker: David Levermore (University of Maryland ) -
When: Mon, September 9, 2019 - 3:00pm
Where: Kirwan Hall 1311

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Computer Assisted Proofs in Analysis with Applications to Differential Equations I

Speaker: Jacob Bedrossian (University of Maryland) -
When: Mon, September 16, 2019 - 3:00pm
Where: Kirwan Hall 1311

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Computer Assisted Proofs in Analysis with Applications to Differential Equations II

Speaker: Jacob Bedrossian (University of Maryland) -
When: Mon, September 23, 2019 - 3:00pm
Where: Kirwan Hall 1311

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Nonideal Gases, Clausius, Boltzmann, and the Birth of Ergodic Theory

Speaker: David Levermore (University of Maryland) -
When: Mon, September 30, 2019 - 3:00pm
Where: Kirwan Hall 1311

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Reduction of Linear Models with an Application to Moment Closures of the Linearized Boltzmann Equation

Speaker: David Levermore (University of Maryland) -
When: Mon, October 7, 2019 - 3:00pm
Where: Kirwan Hall 1311

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Besov Spaces and Onsager's Conjecture

Speaker: Stavros Papathanasiou (University of Maryland) -
When: Mon, October 14, 2019 - 3:00pm
Where: Kirwan Hall 1311

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Regularity Theory for Nonlocal Elliptic Operators and Free Boundary Problems

Speaker: Yijing Wu (University of Maryland) -
When: Mon, October 21, 2019 - 3:00pm
Where: Kirwan Hall 1311

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Introduction to the Space-Time Resonances Method

Speaker: Kyle Liss (University of Maryland) -
When: Mon, October 28, 2019 - 3:00pm
Where: Kirwan Hall 1311

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Inviscid Limit Problem for 2D and 3D Navier-Stokes Equations

Speaker: Fei Wang (University of Maryland) -
When: Mon, November 4, 2019 - 3:00pm
Where: Kirwan Hall 1311

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Ruelle-Takens Route to Hydrodynamic "Turbulence" (but Actually Just to Chaos)

Speaker: Alex Blumenthal (University of Maryland) -
When: Mon, November 11, 2019 - 3:00pm
Where: Kirwan Hall 1311

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Euler Equations as a Geodesic Flow on the Space of Lagrangian Flow Diffeomorphisms

Speaker: Alex Blumenthal (University of Maryland) -
When: Mon, November 18, 2019 - 3:00pm
Where: Kirwan Hall 1311

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Finite-Time Blow-Up for an Averaged 3D Navier-Stokes Equation I

Speaker: Pranava Jayanti (University of Maryland) -
When: Mon, November 25, 2019 - 3:00pm
Where: Kirwan Hall 1311

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Existence of Smooth Solutions to the Euler/Vlasov-Fokker-Planck System

Speaker: Anqi Ye (University of Maryland) -
When: Mon, December 2, 2019 - 3:00pm
Where: Kirwan Hall 1311

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Finite-Time Blow-Up for an Averaged 3D Navier-Stokes Equation II

Speaker: Pranava Jayanti (University of Maryland) -
When: Mon, December 9, 2019 - 3:00pm
Where: Kirwan Hall 1311

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Organizational meeting

Speaker: () -
When: Mon, February 3, 2020 - 3:00am
Where: Kirwan Hall 1311
Statistical properties of chaotic strange attractors

Speaker: Alex Blumenthal (University of Maryland, College Park) - http://math.umd.edu/~alexb123/
When: Mon, February 10, 2020 - 3:00pm
Where: Kirwan Hall 1311
Chaotic attractors for random dynamical systems

Speaker: Alex Blumenthal (University of Maryland, College Park) -
When: Mon, February 24, 2020 - 3:00pm
Where: Kirwan Hall 1311
Holder estimates for the kinetic Fokker-Planck equation

Speaker: Stavros Papathanasiou (UMD) -
When: Mon, March 2, 2020 - 3:00pm
Where: Kirwan Hall 1311
Introduction to hypocoercivity

Speaker: Kyle Liss (UMD) -
When: Mon, March 9, 2020 - 3:00pm
Where: Kirwan Hall 1311
Dial's Shortest Path Algorithm for Solving the Eikonal Equation

Speaker: Manyuan Tao (UMD) -
When: Mon, March 30, 2020 - 3:00pm
Where: Online -- email organizer (Jacob Bedrossian) for zoom link
An Introduction to the Mountain Pass Theorem

Speaker: Stephen Sorokanich (UMD) -
When: Mon, April 6, 2020 - 3:00pm
Where: Online -- Email organizer (Jacob Bedrossian) for access
Existence, uniqueness and regularity of the minimizer of energy related to perimeter minus fractional perimeter

Speaker: Yijing wu (UMD) -
When: Mon, April 13, 2020 - 3:00pm
Where: Online -- contact Jacob Bedrossian for zoom link
Lyapunov Exponents of Nilpotent Ito Systems

Speaker: Chi-Hao Wu (UMD) -
When: Mon, April 20, 2020 - 3:00pm
Where: Online -- contact Jacob Bedrossian for link
Equilibration of aggregation-diffusion equations with weak interaction forces

Speaker: Ruiwen Shu () -
When: Mon, April 27, 2020 - 3:00pm
Where: Online zoom meeting -- contact Jacob Bedrossian for link

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Abstract: This paper studies the large time behavior of aggregation-diffusion equations. For one spatial dimension with certain assumptions on the interaction potential, the diffusion index $m$, and the initial data, we prove the convergence to the unique steady state as time goes to infinity (equilibration), with an explicit algebraic rate. The proof is based on a uniform-in-time bound on the first moment of the density distribution, combined with an energy dissipation rate estimate. This is the first result on the equilibration of aggregation-diffusion equations for a general class of weakly confining potentials $W(r)$: those satisfying $\lim_{r\rightarrow\infty}W(r)
Finite-Time Singularity Formation for C^{1,alpha} Solutions to the Incompressible Euler Equations on R^3.

Speaker: Fei Wang (UMD) -
When: Mon, May 4, 2020 - 3:00pm
Where: Online - Email Jacob Bedrossian for link

4176 Campus Drive - William E. Kirwan Hall
College Park, MD 20742-4015
P: 301.405.5047 | F: 301.314.0827

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RIT on Applied PDE

Speaker: David Levermore (University of Maryland) -

Speaker: David Levermore (University of Maryland ) -

Speaker: Jacob Bedrossian (University of Maryland) -

Speaker: Jacob Bedrossian (University of Maryland) -

Speaker: David Levermore (University of Maryland) -

Speaker: David Levermore (University of Maryland) -

Speaker: Stavros Papathanasiou (University of Maryland) -

Speaker: Yijing Wu (University of Maryland) -

Speaker: Kyle Liss (University of Maryland) -

Speaker: Fei Wang (University of Maryland) -

Speaker: Alex Blumenthal (University of Maryland) -

Speaker: Alex Blumenthal (University of Maryland) -

Speaker: Pranava Jayanti (University of Maryland) -

Speaker: Anqi Ye (University of Maryland) -

Speaker: Pranava Jayanti (University of Maryland) -

Speaker: () -

Speaker: Alex Blumenthal (University of Maryland, College Park) - http://math.umd.edu/~alexb123/

Speaker: Alex Blumenthal (University of Maryland, College Park) -

Speaker: Stavros Papathanasiou (UMD) -

Speaker: Kyle Liss (UMD) -

Speaker: Manyuan Tao (UMD) -

Speaker: Stephen Sorokanich (UMD) -

Speaker: Yijing wu (UMD) -

Speaker: Chi-Hao Wu (UMD) -

Speaker: Ruiwen Shu () -

Speaker: Fei Wang (UMD) -