Mathematics - Analysis of PDEs

Analysis of PDEsThe Superhero Struggle: Survival in Nature

Explore how habitat differences impact population survival amid challenges.

Jakub Hesoun, Petr Stehlík

2025-02-05T14:11:20+00:00 ― 6 min read

Analysis of PDEsEfficient Data Clustering with Volume Constraints

Discover how the volume-constrained MBO scheme improves data organization and analysis.

Fabius Krämer, Tim Laux

2025-02-04T06:13:20+00:00 ― 5 min read

ProbabilityUnpacking the Zero-Range Process: Particle Play

Discover how the Zero-Range Process explains particle movements through fun analogies.

Daniel Marahrens, Angeliki Menegaki, Clément Mouhot

2025-02-04T05:07:24+00:00 ― 7 min read

Mathematical PhysicsUnderstanding Dense Gas Behavior Through Kinetic Models

Explore how collision integrals reveal the dynamics of dense gases.

Frédérique Charles, Zhe Chen, François Golse

2025-02-04T02:44:06+00:00 ― 6 min read

ProbabilityDiving into Green's Functions and Their Applications

Discover how Green's functions shape our understanding of physics and mathematics.

Anthony Graves-McCleary, Laurent Saloff-Coste

2025-02-02T19:35:30+00:00 ― 6 min read

Analysis of PDEsThe Dance of Cells: Movement and Connection

Explore how cells move and stick together, blending biology and math in research.

Thierno Mamadou Balde, Vuk Milisic

2025-02-02T14:15:50+00:00 ― 5 min read

Analysis of PDEsFinding the Best Designs in Physics and Engineering

Minimizing energy in material design for safety and efficiency.

Jonathan Bevan, Martin Kružík, Jan Valdman

2025-02-02T08:56:10+00:00 ― 6 min read

Analysis of PDEsUnderstanding Parabolic Equations and Their Applications

Learn the basics of parabolic equations and their significance in real-world scenarios.

Pascal Auscher, Khalid Baadi

2025-02-02T00:56:40+00:00 ― 4 min read

Analysis of PDEsThe Curious Case of Fractional Heat Equations

Exploring how singularities affect heat distribution in unique mathematical scenarios.

Joan Hernández

2025-02-01T19:37:00+00:00 ― 5 min read

Numerical AnalysisUnderstanding Non-local Conservation Laws in Real Life

Explore how non-local laws affect various real-world systems.

Nikhil Manoj, G. D. Veerappa Gowda, Sudarshan Kumar K

2025-01-31T22:18:20+00:00 ― 5 min read

Analysis of PDEsThe Fascinating World of Large Solutions

Discover the mysteries of large solutions in mathematics and their real-world applications.

Indranil Chowdhury, N. N. Dattatreya

2025-01-31T06:19:20+00:00 ― 6 min read

General Relativity and Quantum CosmologyBlack Holes: The Mystery of Mass Inflation

Explore the strange phenomenon of mass inflation near black holes.

Onyx Gautam

2025-01-30T14:27:50+00:00 ― 6 min read

Differential GeometryThe Enigma of Special Lagrangian Pants

Discover the unique geometric shapes behind the Donaldson-Scaduto conjecture.

Gorapada Bera, Saman Habibi Esfahani, Yang Li

2025-01-30T01:01:10+00:00 ― 6 min read

Analysis of PDEsSecrets of Group Movement Revealed

Discover how science explains synchronized movement in nature.

Shikun Cui, Lili Wang, Wendong Wang

2025-01-29T19:41:30+00:00 ― 7 min read

Analysis of PDEsThe Intricate Dance of Cells: Chemotaxis and Gametes

Exploring the connection between chemotaxis and reproductive success in biology.

Crystianne L. De Andrade, Alexander A. Kiselev

2025-01-28T11:43:30+00:00 ― 8 min read

Analysis of PDEsThe Fractional Nonlinear Schrödinger Equation: A Deep Dive

Explore the fractional nonlinear Schrödinger equation and its significance in math and physics.

Divyang G. Bhimani, Diksha Dhingra, Vijay Kumar Sohani

2025-01-27T11:45:00+00:00 ― 6 min read

ProbabilityNavigating Uncertainty with BSVIEs

BSVIEs blend finance and mathematics to manage uncertainty in decision-making.

Qian Lei, Chi Seng Pun

2025-01-26T22:38:00+00:00 ― 5 min read

Dynamical SystemsBistable Differential Equations on Trees

Discover the dynamics of bistable systems within tree structures and their implications.

Petr Stehlík

2025-01-26T14:26:20+00:00 ― 7 min read

Dynamical SystemsThe Colorful Dynamics of Reaction-Diffusion Equations

Discover the vibrant world of reaction-diffusion equations and perfect stationary solutions.

Vladimír Švígler, Jonáš Volek

2025-01-20T19:55:00+00:00 ― 6 min read

Differential GeometryThe Secrets of Yang-Mills Theory

Discover the complex world of Yang-Mills theory and its significance in physics.

Anuk Dayaprema, Alex Waldron

2025-01-20T03:56:00+00:00 ― 7 min read

Analysis of PDEsSimplifying Complex Graph Distances

Learn how local ultrametric approximations make graph distance calculations easier.

Patrick Erik Bradley

2025-01-20T03:41:20+00:00 ― 6 min read

Analysis of PDEsUnderstanding Differential Inequalities and Their Applications

Explore how differential inequalities relate to shapes and real-world applications.

Anuk Dayaprema

2025-01-19T22:36:20+00:00 ― 5 min read

Analysis of PDEsThe Dance of Solitary Waves in Physics

Discover how solitary waves behave in various physical systems.

Nabile Boussaïd, Andrew Comech, Niranjana Kulkarni

2025-01-18T00:44:16+00:00 ― 5 min read

Mathematical PhysicsQuantum Tunneling: The Hidden Journey of Particles

Explore the quirky world of quantum tunneling and its surprising effects.

Charles L. Fefferman, Jacob Shapiro, Michael I. Weinstein

2025-01-17T23:56:30+00:00 ― 7 min read