Construction of Weak Solutions for the Landau Equation by Approximations of Solutions to
Explore the construction of weak solutions for the Landau equation through approximations of Boltzmann equation solutions in grazing collision limit scenarios.
Second Order Conformally Invariant Elliptic Equations - Lecture 4
Explore advanced mathematical concepts in conformally invariant elliptic equations, focusing on second-order systems and their applications in geometry, physics, and probability theory.
Finding a Taylor Series Using Differential Equations
Explore an innovative approach to deriving Taylor series using differential equations, offering a fresh perspective on this fundamental mathematical concept.
Mathematics for Public Health - Inaugural Lecture by Henri Berestycki
Exploring diffusion in epidemiology models, including SIR equations and reaction-diffusion systems, with applications to COVID-19 spread and the impact of individual behaviors on epidemic dynamics.
Dichotomy Interlacement Versus Hardy in Definable ODE's
Explore the interplay between dichotomy interlacement and Hardy's theory in definable ordinary differential equations, delving into advanced mathematical concepts and their applications.
Modelling of Disease Spread Through Heterogeneous Population
Explore spatial variability in disease spread using PDEs with state-dependent diffusion. Examine density-dependent infection rates and super-diffusive propagation, with a case study on coronavirus in Nova Scotia.
Adaptive Numerical Solution Methods for PDEs
Explore adaptive methods for PDEs, including error estimation, vertex bisection, and finite element techniques, enhancing numerical solutions for complex mathematical problems.
On Density of Sobolev Functions on Euclidean Domains
Explore recent findings on Sobolev space density, removability of measure zero sets, and extension operators in Euclidean domains. Gain insights into advanced mathematical concepts and their applications.
Entropy Techniques for Nonlinear Partial Differential Equations - A Few Examples
Explore entropy techniques for nonlinear PDEs, focusing on Fokker-Planck equations. Learn applications in polymeric fluids, molecular dynamics, and high-dimensional algorithms.
Borderline Sobolev Inequalities on Symmetric Spaces with Applications
Explores Bourgain-Brezis estimate for symmetric spaces, applying it to wave, Schrodinger, Maxwell equations and 2D Navier-Stokes flow. Presents joint research on advanced mathematical concepts in functional analysis.
Edgard Pimentel - Regularity Theory for Nonlinear PDEs
Explore recent developments in regularity theory for nonlinear PDEs, covering compactness, stability, and scaling arguments. Learn about fully nonlinear PDEs, Isaacs equation, and free boundary problems.
Henrik Shahgholian - Free Boundaries on Lattice, and Their Scaling Limits
Explore lattice-based potential theory, examining harmonic functions and free boundary problems. Discover intriguing numerical results and their implications for facet formation in scaling limits.
NOC - Partial Differential Equations for Engineers - Solution
Explore advanced techniques for solving partial differential equations in engineering, covering various coordinate systems and problem types across multiple dimensions.
Ordinary Differential Equations and Applications
Explore differential equations, from basic concepts to advanced topics like stability analysis and Poincaré-Bendixon theory, enhancing problem-solving skills in various applications.
Mathematics I
Explore advanced calculus concepts including theorems, integrals, and series. Master differentiation, integration, and multivariable calculus for a strong mathematical foundation.
Mathematics III
Explore advanced mathematical concepts including ODEs, improper integrals, series solutions, Bessel functions, Laplace transformations, and partial differential equations.
Mathematical Methods and Its Applications
Explore linear differential equations, including solutions for homogeneous and non-homogeneous cases, Wronskian, and Euler-Cauchy equations in this comprehensive mathematical methods course.
A Levels P3 Differential Equations
Comprehensive guide to solving differential equations for A Level Mathematics, covering both proof and non-proof methods in P3 syllabus.
Families of Polynomials in Biochemical Reaction Networks
Exploring polynomial systems in biochemical reaction networks, focusing on computational techniques for analyzing families of polynomials with combinatorial structures derived from reaction digraphs.
Comprehensive Fluids, Entropy Hierarchies, and Flocking - SIAM PDE Seminar
Exploring compressible fluid equations, entropy hierarchies, and flocking dynamics. Covers Navier-Stokes models, nonlocal collective dynamics, and mathematical proofs for fluid behavior and emergent organization.
Wave Enhancement Through Spectral Optimization - 33rd IMAGINE Seminar
Explore efficient optimization of wave transmission in cavities through boundary condition adjustments, using spectral analysis and layer potential methods for accurate eigenvalue calculations.