Mathematics - Analysis of PDEs

RSS

Machine Learning Innovative Approaches in Physics-Informed Neural Networks

Combining meta-learning and GAMs to enhance PINN solutions for complex equations.

Michail Koumpanakis, Ricardo Vilalta

2025-04-23T17:03:15+00:00 ― 6 min read

Latest Articles

Analysis of PDEs Demystifying Mathematical Solutions

A clear guide to understanding solutions in mathematics.

Hussein Cheikh-Ali, Bruno Premoselli

2025-04-16T09:46:30+00:00 ― 6 min read

Exactly Solvable and Integrable Systems The Intricacies of Non-Commutative KP Equations

A look into the complex world of non-commutative equations and their implications.

Gordon Blower, Simon J. A. Malham

2025-04-15T20:50:24+00:00 ― 6 min read

Dynamical Systems Waves, Chaos, and Homoclinic Orbits

Discover the fascinating world of wave behavior and homoclinic orbits.

Inmaculada Baldomá, Marcel Guardia, Dmitry E. Pelinovsky

2025-04-15T20:02:38+00:00 ― 7 min read

Analysis of PDEs Waves, Particles, and Potentials: The Hartree Equation Puzzle

Dive into the complexities of nonlinear Hartree equations and their real-world impacts.

Shuang Ji, Jing Lu, Fanfei Meng

2025-04-15T09:48:00+00:00 ― 6 min read

Analysis of PDEs Hamilton-Jacobi Equations: Pathways to Solutions

A look into Hamilton-Jacobi equations and their practical uses.

Marco Pozza

2025-04-13T15:10:40+00:00 ― 7 min read

Analysis of PDEs Battling Tumors: The Immune System's Game

Explore how constraints shape tumor growth and immune responses.

Kevin Atsou, Thierry Goudon, Pierre-Emmanuel Jabin

2025-04-08T12:38:20+00:00 ― 7 min read

General Relativity and Quantum Cosmology Understanding the Big Bang: A Cosmic Journey

Explore the origins and evolution of the universe through the Big Bang formation.

Liam Urban

2025-04-07T16:59:48+00:00 ― 7 min read

Analysis of PDEs Exploring the World of Half-Wave Maps

Uncover the mysteries of half-wave maps and their significance in mathematics.

Patrick Gérard, Enno Lenzmann

2025-04-07T16:12:02+00:00 ― 6 min read

Analysis of PDEs Simplifying Complex Dynamics with Autoencoders

A new model streamlines population dynamics, helping researchers predict changes effectively.

Kanav Singh Rana, Nitu Kumari

2025-04-06T18:01:00+00:00 ― 6 min read

Analysis of PDEs Simplifying Complex Functions: The Art of Relaxation

Discover how relaxation techniques simplify complex mathematical functions.

Valeria Chiadò Piat, Virginia De Cicco, Anderson Melchor Hernandez

2025-04-06T04:41:50+00:00 ― 6 min read

Analysis of PDEs Riding the Waves of Knowledge

Discover the fascinating world of travelling waves and their many applications.

F. Achleitner, C. M. Cuesta, X. Diez-Izagirre

2025-04-04T07:24:40+00:00 ― 6 min read

Analysis of PDEs The Fascinating World of Fluid Magnetics

Discover the unique behavior of ferromagnetic fluids in magnetic fields.

Noah Vinod, Thanh Tran

2025-04-02T12:47:20+00:00 ― 6 min read

Analysis of PDEs The Complex World of Three-Phase Flows

Uncover the dynamics of fluids in porous media with undercompressive shock waves.

L. F. Lozano, I. Ledoino, B. J. Plohr

2025-04-01T23:28:10+00:00 ― 7 min read

Analysis of PDEs Understanding the Cahn-Hilliard-Biot Equations

Explore how materials behave during phase changes and their practical applications.

Erlend Storvik, Carina Bringedal

2025-04-01T04:49:20+00:00 ― 5 min read

Analysis of PDEs Understanding Space-Time Fractional Diffusion Equations

Explore how fractional diffusion equations explain complex particle movements.

Mohamed BenSalah, Salih Tatar

2025-03-30T15:31:40+00:00 ― 5 min read

Analysis of PDEs The Dance of Light: Nonlinear Optics Revealed

Discover how light behaves in materials and its real-world impact.

Nils Margenberg, Markus Bause

2025-03-29T22:01:38+00:00 ― 5 min read

Analysis of PDEs The Fascinating World of Vortex Filaments

Discover the swirling motions of fluids and their chaotic beauty.

Valeria Banica, Daniel Eceizabarrena, Andrea. R. Nahmod

2025-03-29T18:02:48+00:00 ― 6 min read

Analysis of PDEs The Search for Life in Degenerate Equations

Exploring non-trivial solutions in degenerate elliptic equations.

Kaushik Bal, Sanjit Biswas

2025-03-29T12:53:20+00:00 ― 8 min read

Numerical Analysis Unraveling Hyperbolic Systems in Physics

Discover the complexities of hyperbolic systems and their impacts on real-world phenomena.

Brittany A. Erickson

2025-03-29T07:33:40+00:00 ― 7 min read

Numerical Analysis Understanding Material Behavior Under Stress

Explore how materials respond to stress in engineering and science.

Salih Tatar, Mohamed BenSalah

2025-03-28T20:54:20+00:00 ― 6 min read

Analysis of PDEs The Dynamics of a Vibrating String

A deep dive into how a string interacts with rigid surfaces.

Boris Muha, Srđan Trifunović

2025-03-27T07:36:40+00:00 ― 9 min read

Analysis of PDEs The Science of Phase Separation in Materials

Discover the fascinating process of phase separation and its importance in various fields.

Katharina Hopf, John King, Andreas Münch

2025-03-24T05:01:20+00:00 ― 7 min read

Analysis of PDEs Population Dynamics: The Dance of Life

Explore how selection and mutation shape the survival of species over time.

Anouar Jeddi

2025-03-24T02:21:30+00:00 ― 8 min read

Analysis of PDEs The Dynamics of Propagation Phenomena

Unraveling the complexities of population spread and behavior over time.

Emeric Bouin, Jérôme Coville, Xi Zhang

2025-03-23T18:22:00+00:00 ― 6 min read

Analysis of PDEs Optimizing Shapes in the Lamé System

Exploring optimal shapes for material performance in elasticity theory.

Antoine Henrot, Antoine Lemenant, Yannick Privat

2025-03-23T10:22:30+00:00 ― 5 min read

Analysis of PDEs The Surprising Truth About Hot Spots in Geometry

Discover the unexpected behavior of heat in convex shapes.

Jaume de Dios Pont

2025-03-22T18:23:30+00:00 ― 6 min read

Optics Speckle Imaging: A New Lens on Light

Discover how speckle imaging enhances optical clarity in complex materials.

Randy Bartels, Olivier Pinaud, Maxine Varughese

2025-03-21T22:09:52+00:00 ― 5 min read

Analysis of PDEs Waves in Beams: A Journey into Mechanics

Discover how waves travel through beams and impact structural safety.

Hana Formánková Levá, Gabriela Holubová, Petr Nečesal

2025-03-20T07:47:10+00:00 ― 6 min read

Functional Analysis Navigating the World of Function Spaces

A look into the fascinating structures of function spaces in mathematics.

Tomáš Beránek

2025-03-17T02:32:00+00:00 ― 6 min read

Analysis of PDEs Optimal Control Problems in Uncertain Environments

Learn how to manage uncertainty in decision-making through optimal control methods.

Abhishek Chaudhary

2025-03-16T10:33:00+00:00 ― 6 min read

Analysis of PDEs The Dynamic World of Cell Behavior

Discover how cells move and interact in complex environments.

José A. Carrillo, Tommaso Lorenzi, Fiona R. Macfarlane

2025-03-16T05:13:20+00:00 ― 5 min read

Analysis of PDEs The Fascinating World of Nonlocal Operators

Discover how nonlocal operators impact various fields from medicine to finance.

Lisbeth Carrero, Alexander Quaas, Andres Zuniga

2025-03-15T18:34:00+00:00 ― 7 min read

Analysis of PDEs The Kawahara Equation: Waves in Control

Discover how the Kawahara equation shapes wave control in science and technology.

Sakil Ahamed, Debanjit Mondal

2025-03-15T10:34:30+00:00 ― 6 min read

Analysis of PDEs Unraveling the Mystery of Subdiffusion

Scientists investigate slow-moving particles and point sources to protect our environment.

Kuang Huang, Bangti Jin, Yavar Kian

2025-03-13T10:37:30+00:00 ― 7 min read

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

General Relativity and Quantum Cosmology Naked Singularities: Unveiling the Universe's Mysteries

Explore the enigma of naked singularities and their impact on our understanding of the cosmos.

Serban Cicortas, Christoph Kehle

2025-03-08T18:06:30+00:00 ― 6 min read

Analysis of PDEs The Dynamics of Couette Flow: Stability and Rotation

Explore the fascinating behavior of fluids between rotating surfaces.

Wenting Huang, Ying Sun, Xiaojing Xu

2025-03-07T05:26:50+00:00 ― 6 min read

Probability Navigating Hypoelliptic Diffusions: A Simplified Approach

Explore how hypoelliptic diffusions shape random processes and their practical applications.

Juraj Földes, David P. Herzog

2025-03-05T02:50:00+00:00 ― 7 min read

Analysis of PDEs Groundwater Matters: The Hidden Water Supply

Learn about groundwater flow and its importance to our lives.

Petr Girg, Lukáš Kotrla, Anežka Švandová

2025-03-05T01:44:24+00:00 ― 5 min read

Analysis of PDEs Greenhouse Gases and Their Impact on Temperature

Learn how greenhouse gases shape our climate and temperature patterns.

Olivier Pironneau

2025-03-04T13:30:50+00:00 ― 4 min read