Mathematics - Analysis of PDEs

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Analysis of PDEs Functionals and Their Growth: A Closer Look

Exploring the behavior of functionals, Orlicz growth, and regularity in mathematics.

Paul Stephan

2025-03-12T15:58:40+00:00 ― 5 min read

Latest Articles

Analysis of PDEs The Dynamics of Water Waves Explained

Discover how mathematicians unravel the mysteries of water waves with complex equations.

Sultan Aitzhan, David M. Ambrose

2025-03-03T02:53:00+00:00 ― 8 min read

Analysis of PDEs Decoding Capacitary Measures and Sobolev Spaces

A fun look at complex math concepts and their real-world uses.

Anna Lentz

2025-03-01T05:35:50+00:00 ― 6 min read

Analysis of PDEs Unlocking the Secrets of Elliptic Systems

Discover how elliptic systems shape our understanding of material behavior.

Michael Tsopanopoulos

2025-03-01T02:56:00+00:00 ― 6 min read

Analysis of PDEs Unlocking the Secrets of Plasma Physics

A deep dive into the Vlasov-Poisson system and its role in plasma behavior.

Wenrui Huang, Benoît Pausader, Masahiro Suzuki

2025-02-27T08:18:40+00:00 ― 8 min read

Analysis of PDEs Fluid Dynamics: The Dance of Liquids

Explore the fascinating world of fluid behavior and its real-world applications.

Sauli Lindberg

2025-02-26T16:19:40+00:00 ― 6 min read

Analysis of PDEs The Vaccination Challenge: A Game of Strategy

A look at the competition over vaccinations amid skepticism and health efforts.

Mauro Garavello, Elena Rossi, Abraham Sylla

2025-02-25T21:40:50+00:00 ― 7 min read

Analysis of PDEs Unraveling Two-Phase Flow Dynamics

Dive into the exciting world of two-phase fluid interactions and modeling methods.

Jens Keim, Hasel-Cicek Konan, Christian Rohde

2025-02-25T20:59:02+00:00 ― 6 min read

Differential Geometry Understanding Riemannian Manifolds: A Deep Dive

Explore the shape and properties of curved spaces through Riemannian geometry.

Gioacchino Antonelli, Marco Pozzetta, Kai Xu

2025-02-25T19:01:00+00:00 ― 6 min read

Numerical Analysis Navigating Complex Equations: Simplified Solutions

Discover clever approaches to tackle challenging mathematical equations and their significance.

Yvonne Alama Bronsard, Xi Chen, Matthieu Dolbeault

2025-02-25T08:21:40+00:00 ― 7 min read

Analysis of PDEs Connecting Kinetic and Graph Theories

Exploring the links between particle behavior and network relationships.

Datong Zhou

2025-02-23T16:24:10+00:00 ― 6 min read

Number Theory Discovering the p-adic Upper Half Plane

Dive into the fascinating world of the p-adic number system and its applications.

Patrick Erik Bradley

2025-02-23T00:25:10+00:00 ― 7 min read

Analysis of PDEs The Dance of Stability and Instability

Discover how stability shapes mathematical systems and real-world phenomena.

Bogdan-Vasile Matioc, Lina Sophie Schmitz, Christoph Walker

2025-02-22T08:26:10+00:00 ― 6 min read

Analysis of PDEs Fluid Dynamics: The Science of Flow

Discover the fascinating world of fluid movement and its real-world applications.

Timothée Crin-Barat, Nicola De Nitti, Stefan Škondrić

2025-02-22T00:26:40+00:00 ― 7 min read

Analysis of PDEs The Science Behind Waves: A Simple Guide

Learn how scientists study and predict wave behavior using equations.

Jack Keeler, Alberto Alberello, Ben Humphries

2025-02-21T07:55:00+00:00 ― 7 min read

Analysis of PDEs The Social Dynamics of Weighted Graphs

Explore how weighted graphs reflect relationships and behaviors in mathematics.

Lu Hao, Yuhua Sun

2025-02-19T13:50:20+00:00 ― 7 min read

Dynamical Systems Navigating Hamilton-Jacobi Equations: A Simple Guide

Learn how Hamilton-Jacobi equations impact systems and measure chaos.

Wei Cheng, Jiahui Hong, Zhi-Xiang Zhu

2025-02-18T21:51:20+00:00 ― 6 min read

Analysis of PDEs Bake Your Way Through Non-Autonomous Functionals

Discover the sweet journey of understanding non-autonomous functionals in a fun way.

Lukas Fussangel, Buddhika Priyasad, Paul Stephan

2025-02-18T05:52:20+00:00 ― 5 min read

Analysis of PDEs Bubbles and Sound: A Deep Dive into Acoustics

Discover how bubbles shape sound waves in fascinating ways.

Arpan Mukherjee, Mourad Sini

2025-02-17T13:53:20+00:00 ― 6 min read

Analysis of PDEs The Silent Threat: Corrosion Detection Through Mathematics

Learn how math helps find and prevent corrosion damage.

David Johansson

2025-02-17T08:33:40+00:00 ― 7 min read

Analysis of PDEs Unraveling the Fractional Helmholtz Equation

Discover the significance of the fractional Helmholtz equation in wave behavior.

Giovanni Covi, Maarten de Hoop, Mikko Salo

2025-02-16T16:34:40+00:00 ― 8 min read

Analysis of PDEs The Dance of Waves: Insights into Turbulence

A look into the complex interactions of wave functions and vortex filaments.

Valeria Banica, Luis Vega

2025-02-16T05:18:56+00:00 ― 6 min read

Mathematical Physics Dive Into the World of Bose-Einstein Condensates

Uncover the mysterious behavior of particles at ultra-low temperatures.

Marius Lemm, Simone Rademacher, Jingxuan Zhang

2025-02-16T03:43:24+00:00 ― 5 min read

Analysis of PDEs The In-Depth Study of Gradient Integrability

A look into minimizing functions through smooth behavior.

Lisa Beck, Ferdinand Eitler, Franz Gmeineder

2025-02-14T05:58:20+00:00 ― 8 min read

Analysis of PDEs The Frustration of Spin Systems

Explore the complex behaviors of spin systems and their real-world implications.

Marco Cicalese, Dario Reggiani, Francesco Solombrino

2025-02-13T19:19:00+00:00 ― 6 min read

Analysis of PDEs The Wonders of Non-Newtonian Fluids

Discover the unique behaviors and applications of non-Newtonian fluids.

Christina Lienstromberg, Katerina Nik

2025-02-13T05:59:50+00:00 ― 6 min read

Probability Unraveling Logarithmic Potentials: The Hidden Forces

Explore how logarithmic potentials interact with external fields in mathematics.

Giacomo Colombo, Alessio Figalli

2025-02-13T00:40:10+00:00 ― 8 min read

Analysis of PDEs Unpacking the Brezis-Nirenberg Problem

A look into unique solutions in mathematical functions and their symmetry.

Naoki Shioji, Satoshi Tanaka, Kohtaro Watanabe

2025-02-12T08:41:10+00:00 ― 6 min read

Analysis of PDEs Taming Noise in Images: A Scientific Approach

Learn how advanced models clear noise from images for better clarity.

Yihui Tong, Wenjie Liu, Zhichang Guo

2025-02-11T06:02:50+00:00 ― 6 min read

Analysis of PDEs Uncovering Hidden Shapes: A Deep Dive into Inverse Scattering Problems

Learn about uncovering hidden shapes using waves and advanced techniques.

Isaac Harris, Victor Hughes, Andreas Kleefeld

2025-02-10T19:23:30+00:00 ― 6 min read

Mathematical Physics The Dynamics of Water and Magnetism

Discover how water interacts with magnetic fields in fascinating ways.

Andronikos Paliathanasis, Amlan Halder

2025-02-10T04:25:24+00:00 ― 6 min read

Analysis of PDEs The Fascinating World of Kink Clusters

Discover the dynamics of kink clusters in physics and their significance.

Jacek Jendrej, Andrew Lawrie

2025-02-05T20:55:44+00:00 ― 6 min read

Analysis of PDEs Waves, Chaos, and Entropy: A Complex Dance

Explore how kinetic wave equations reveal the chaos of waves in physical systems.

Miguel Escobedo, Pierre Germain, Joonhyun La

2025-02-05T18:32:26+00:00 ― 6 min read

Analysis of PDEs The 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 PDEs Efficient 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

Probability Unpacking 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 Physics Understanding 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

Probability Diving 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 PDEs The 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 PDEs Finding 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 PDEs Understanding 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 PDEs The 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 Analysis Understanding 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 PDEs The 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 Cosmology Black 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 Geometry The 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 PDEs Secrets 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 PDEs The 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 PDEs The 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

Probability Navigating 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 Systems Bistable 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 Systems The 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 Geometry The 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 PDEs Simplifying 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 PDEs Understanding 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 PDEs The 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 Physics Quantum 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