Mean-Field Limits for Singular Flows
Explore mean-field limits for singular flows, focusing on Coulomb and Riesz interactions in gradient and conservative systems, with insights on convergence methods.
Reversal in the Stationary Prandtl Equations
Explore reversal and recirculation in stationary Prandtl equations, examining the Goldstein singularity and analyzing the system as a quasilinear, mixed-type, free-boundary problem.
Instability and Non-uniqueness for the Euler and Navier-Stokes Equations
Explore recent advances in non-unique solutions for incompressible Navier-Stokes and Euler equations, including groundbreaking work on forced Navier-Stokes equations' non-uniqueness.
The Quartic Integrability and Long Time Existence of Steep Water Waves in 2D
Explore advanced mathematical analysis of 2D water waves, focusing on quartic integrability and long-term existence of steep waves in infinite depth scenarios.
Mathematical General Relativity - Seventy-Two Years after Yvonne Choquet-Bruhat's Foundational Acta Paper
Explorez les avancées majeures en relativité générale mathématique depuis l'article fondateur d'Y.C. Bruhat, en examinant son impact durable sur le domaine.
Spacetime Harmonic Functions and Applications in Positive Mass Theorems and Comparison Geometry
Explore recent developments in level set techniques for elliptic equations, focusing on spacetime harmonic functions and their applications to positive mass theorems and comparison geometry.
Hydrodynamic Alignment with Pressure - Tutorial IV, Part 2
Explore advanced concepts in hydrodynamic alignment with pressure, building on previous knowledge and delving into complex mathematical models and applications.
Hydrodynamic Alignment with Pressure - Tutorial III, Part 1
Explore hydrodynamic alignment with pressure in this advanced mathematical tutorial by Prof. Eitan Tadmor, delving into complex fluid dynamics concepts.
Hydrodynamics of Multi-Species Systems - Tutorial II
Explore multi-species hydrodynamics with Professor Eitan Tadmor, delving into advanced mathematical concepts and their applications in fluid dynamics.
Inhomogeneous Helmholtz Equations in Wave Guides - Existence and Uniqueness Results with Energy Methods
Analyse mathématique des équations de Helmholtz inhomogènes dans les guides d'ondes, démontrant l'existence et l'unicité des solutions par des méthodes énergétiques pour des coefficients périodiques.
Dynamics and Steady State of Squirmer Motion in Liquid Crystal
Analyse mathématique du mouvement des micro-nageurs dans les cristaux liquides, établissant l'existence d'états stables et dérivant un modèle homogénéisé pour la nage collective.
Facing Challenges in Computational Fluid Mechanics with Lattice Boltzmann Methods
Explore advanced fluid flow simulation and optimization using Lattice Boltzmann Methods. Learn integrative approaches combining numerical simulation, HPC, and mathematical optimization techniques.
Mean-Field Disordered Systems and Hamilton-Jacobi Equation
Explore mean-field disordered systems and their connection to Hamilton-Jacobi equations in this advanced physics workshop by J.C Mourrat.
Recent Progress in Membrane Theory and Reduced Yang Mills - 2023
Explore recent advancements in Membrane Theory and reduced Yang Mills, delving into cutting-edge research and theoretical developments in these complex fields of physics.
Modeling the Impact of Stochasticity and Spatial Structure on Homing-Based Gene Drive Spread
Explore gene drive systems' spatial spread using reaction-diffusion models. Compare deterministic and stochastic approaches, examining effects on fitness costs, wave speed, and barrier penetration.
Potential Theoretic Methods for Deterministic Schrödinger Operators
Explorez les méthodes de théorie du potentiel pour les opérateurs de Schrödinger déterministes, présentées par Wilhelm Schlag de l'Université Yale.
Instability and Non-Uniqueness for the Euler and Navier-Stokes Equations
Explore instability and non-uniqueness in Euler and Navier-Stokes equations, focusing on effective theories in classical and quantum particle systems.
Instability and Non-Uniqueness for the Euler and Navier-Stokes Equations
Explore instability and non-uniqueness in Euler and Navier-Stokes equations, focusing on effective theories in classical and quantum particle systems.
Introduction to Green's Function: 2-D Example - Evaluating Constants - Part 2
Explore advanced concepts in Green's Function for 2D problems, focusing on evaluating constants in the second part of this mathematical analysis.
Mean Field Limits of Heterogeneous Networks - Informal Systems Seminar
Explore mean field limits of heterogeneous networks, focusing on interacting particle systems coupled on digraphs and their macroscopic behavior. Gain insights into Vlasov equations and digraph measures.
Energy Dissipation of Navier-Stokes Equation with Non-Characteristic Boundary
Explore energy dissipation in Navier-Stokes equations with non-characteristic boundaries, presented by Jincheng Yang from the Institute for Advanced Study.