Biofilms serve essential roles in ecosystems and industry, yet pose challenges in understanding.
Dieudonné Zirhumanana Balike, Maria Rosaria Mattei, Luigi Frunzo
― 6 min read
Mathematics - Analysis of PDEs
RSSA look into the behaviors of solitons when mixed with randomness.
Manuela Girotti, Tamara Grava, Ken D. T-R McLaughlin
― 7 min read
A look at how this model helps in fluid dynamics.
Débora A. F. Albanez, Maicon J. Benvenutti, Samuel Little
― 7 min read
Learn how phase transitions affect everyday materials and our daily lives.
Kobe Marshall-Stevens, Mayu Takada, Yoshihiro Tonegawa
― 5 min read
A clear breakdown of Chern-Simons theory and its significance in physics.
Amit Acharya, Janusz Ginster, Ambar N. Sengupta
― 6 min read
Learn how identifiability affects biological modeling and scientific conclusions.
Yurij Salmaniw, Alexander P Browning
― 8 min read
Discover the role of hexagons in nature and their efficiency in energy.
Kaixin Deng, Senping Luo
― 8 min read
Explore how materials reshape over time through atomic movement.
Yoshikazu Giga, Michael Gösswein, Sho Katayama
― 8 min read
A look into the significance of mixed local and nonlocal Kirchhoff problems in mathematics.
V. M. Tripathi
― 7 min read
Learn how quantum states behave over time in unique conditions.
Léo Morin, Gabriel Rivière
― 5 min read
Discover how fluids move and their impact on everyday life.
Michele Dolce, Giulia Mescolini
― 5 min read
An overview of curves, their properties, and how they change over time.
Yuning Liu, Yoshihiro Tonegawa
― 5 min read
Perovskite solar cells offer promise for efficient and affordable renewable energy.
Annegret Glitzky, Matthias Liero
― 5 min read
A look at the science behind turbulent fluid flow in two dimensions.
Pedram Emami, John C. Bowman
― 7 min read
Explore how fractional differential equations shape our understanding of change and solutions.
Michał Fiedorowicz
― 5 min read
Explore the fascinating world of Bose-Einstein condensates and their implications in science.
Rolci Cipolatti, Yuri M. Lira, Giovanni L. G. Saisse
― 5 min read
An overview of the complex Quasilinear Schrödinger Equation and its components.
Shammi Malhotra, Sarika Goyal, K. Sreenadh
― 5 min read
Combining meta-learning and GAMs to enhance PINN solutions for complex equations.
Michail Koumpanakis, Ricardo Vilalta
― 6 min read
A simple guide to finding positive solutions using mixed local-nonlocal operators.
Sarbani Pramanik
― 5 min read
Discover the enchanting interactions of heavy and light particles in theoretical physics.
Zhi-Qiang Li, Dmitry E. Pelinovsky, Shou-Fu Tian
― 6 min read
A deep dive into wave functions and their dynamic interactions.
Shuang Ji, Jing Lu
― 6 min read
Explore how personal sound zones transform audio experiences in everyday life.
Neil Jerome A. Egarguin, Daniel Onofrei
― 6 min read
Discover the intriguing behavior of half-wave maps in mathematics and physics.
Gaspard Ohlmann
― 7 min read
A clear guide to understanding solutions in mathematics.
Hussein Cheikh-Ali, Bruno Premoselli
― 6 min read
A look into the complex world of non-commutative equations and their implications.
Gordon Blower, Simon J. A. Malham
― 6 min read
Discover the fascinating world of wave behavior and homoclinic orbits.
Inmaculada Baldomá, Marcel Guardia, Dmitry E. Pelinovsky
― 7 min read
Dive into the complexities of nonlinear Hartree equations and their real-world impacts.
Shuang Ji, Jing Lu, Fanfei Meng
― 6 min read
A look into Hamilton-Jacobi equations and their practical uses.
Marco Pozza
― 7 min read
Explore how constraints shape tumor growth and immune responses.
Kevin Atsou, Thierry Goudon, Pierre-Emmanuel Jabin
― 7 min read
Explore the origins and evolution of the universe through the Big Bang formation.
Liam Urban
― 7 min read
Uncover the mysteries of half-wave maps and their significance in mathematics.
Patrick Gérard, Enno Lenzmann
― 6 min read
A new model streamlines population dynamics, helping researchers predict changes effectively.
Kanav Singh Rana, Nitu Kumari
― 6 min read
Discover how relaxation techniques simplify complex mathematical functions.
Valeria Chiadò Piat, Virginia De Cicco, Anderson Melchor Hernandez
― 6 min read
Discover the fascinating world of travelling waves and their many applications.
F. Achleitner, C. M. Cuesta, X. Diez-Izagirre
― 6 min read
Discover the unique behavior of ferromagnetic fluids in magnetic fields.
Noah Vinod, Thanh Tran
― 6 min read
Uncover the dynamics of fluids in porous media with undercompressive shock waves.
L. F. Lozano, I. Ledoino, B. J. Plohr
― 7 min read
Explore how materials behave during phase changes and their practical applications.
Erlend Storvik, Carina Bringedal
― 5 min read
Explore how fractional diffusion equations explain complex particle movements.
Mohamed BenSalah, Salih Tatar
― 5 min read
Discover how light behaves in materials and its real-world impact.
Nils Margenberg, Markus Bause
― 5 min read
Discover the swirling motions of fluids and their chaotic beauty.
Valeria Banica, Daniel Eceizabarrena, Andrea. R. Nahmod
― 6 min read