Analytical Aspects of Emergent Dynamics in Systems of Collective Behavior
Explore analytical aspects of emergent dynamics in collective behavior systems, focusing on alignment dynamics in disconnected flocks and new approaches using topological fractional diffusion and random fluctuations.
Gaussian Lower Bounds for the Boltzmann Equation Without Cut-off - SIAM PDE Seminar
Explore Gaussian lower bounds for the Boltzmann equation, examining particle density evolution in gases and conditional estimates for solving global well-posedness challenges in fluid dynamics.
Optimal Transport of Matrix-Valued Measures - SIAM PDE Seminar
Explore optimal transport of matrix-valued measures, inspired by incompressible Euler equations. Discover a matricial analogue of Hellinger-Kantorovich metric spaces in this advanced mathematical seminar.
Optimal Transport for Inverse Problems and Implicit Regularization
Exploring optimal transport theory for inverse problems, addressing nonconvexity and noise sensitivity in least-squares methods, with applications in industry and broader data-fitting challenges.
How Much Math Do You Need to Know to Solve an Initial Value Problem - SIAM PDE Seminar
Explore mathematical techniques for solving nonlinear Schrödinger equations, from harmonic analysis to dynamical systems, focusing on long-time dynamics and energy transfer in initial value problems.
Ginzburg-Landau Model in Superconductivity - Old and New Results
Explore Ginzburg-Landau model of superconductivity, analyzing vortex patterns in 2D and 3D, energy minimizers, and vortex dynamics with expert Sylvia Serfaty from NYU's Courant Institute.
Auxiliary Functionals - A Path to Solving the Problem of Turbulence
Explore innovative approaches to solving turbulence in fluid dynamics using auxiliary functionals and sum-of-squares polynomial optimization, with applications to Kuramoto-Sivashinsky and Navier-Stokes equations.
Finite Dimensional Approximations of Hamilton-Jacobi-Bellman Equations in Probability Measure Spaces - SIAM PDE Seminar
Explore finite dimensional approximations of Hamilton-Jacobi-Bellman equations in probability measure spaces, focusing on convergence of viscosity solutions and representation formulas for limiting equations.
The Calderon Problem: 40 Years Later - Seminar in the Analysis and Methods of PDE
Explore Calderon's inverse problem, its applications in medical imaging and geophysics, recent developments, and open questions with expert Gunther Uhlmann in this insightful seminar.
Speeding up Langevin Dynamics by Mixing
Explore a method to accelerate Langevin dynamics using mixing drift, improving convergence to stationary distribution in polynomial time for systems with multiple local minima.
Magnetohydrodynamic Turbulence - Weak Solutions and Conserved Quantities
Explore magnetohydrodynamic turbulence, weak solutions, and conserved quantities in ideal systems. Analyze the mathematical structures behind Taylor-Woltjer relaxation theory and Faraday systems.
Effective Gaps for Time-Periodic Hamiltonians Modeling Floquet Materials
Exploration of Floquet materials and their energy transport properties, focusing on effective quasi-energy gaps in parametrically forced Schrödinger equations and their implications for band-limited Dirac wave-packets.
Optimal Shape of Tree Roots and Branches - Seminar in Analysis and Methods of PDE
Explore mathematical models for optimal shapes in nature, focusing on tree roots and branches. Examine functionals for sunlight capture and nutrient collection, combined with transportation costs.
Survey of the Benjamin-Ono Equation with Periodic Boundary Conditions
Explore the Benjamin-Ono equation's dynamics, including explicit solutions, well-posedness, and long-term behavior, with insights from Lax pair analysis in periodic boundary conditions.
Coarse-graining, Renormalization, and Quantitative Homogenization in PDE Analysis
Explore quantitative homogenization in elliptic and parabolic equations, focusing on coarse-graining and renormalization techniques. Discuss applications to degenerate equations and mathematical physics models.
The Flow of Polynomial Roots Under Differentiation - SIAM PDE Seminar
Explores the movement of polynomial roots under differentiation, connecting it to a hydrodynamic PDE model similar to those in mathematical biology, with focus on global regularity and trigonometric polynomials.
Gibbs Measures and Propagation of Randomness in Nonlinear Dispersive PDE
Explore Gibbs measures and randomness propagation in nonlinear dispersive PDE flows with Andrea R. Nahmod. Gain insights into advanced mathematical concepts and their applications in this engaging seminar.
Directed Mean Curvature Flow in Noisy Environment
Explore directed mean curvature flow in noisy environments and its connection to the KPZ equation through advanced mathematical analysis and stochastic PDEs.
An Obstacle Problem for Cell Polarization
Explore cell polarization modeling through diffusion equations and reaction-diffusion systems. Discover obstacle-type problems, steady-state stability, and polarization onset parameters in this mathematical biology seminar.
Quantum Dynamics and Optimal Transport
Explore quantum dynamics and optimal transport with François Golse, discussing the application of Monge's theory to quantum states and its implications for mean-field and classical limits in quantum mechanics.
Symmetry and Uniqueness in Nonlocal PDEs - A Variational Approach
Explore symmetry and uniqueness in nonlocal PDEs using variational approaches. Yao Yao discusses recent progress in aggregation-diffusion equations and 2D Euler equations, focusing on steady states and radial symmetry.