A look at the challenges and insights from studying fluid behavior through the 2D Euler equations.
Elaine Cozzi, Nicholas Harrison
― 5 min read
Mathematics - Analysis of PDEs
RSSExamining wealth sharing and inequality in society over time.
David W. Cohen, Merek Johnson, Bruce M. Boghosian
― 7 min read
A concise look at Burgers' equation and its significance in fluid behavior.
Kwassi Anani, Mensah Folly-Gbetoula
― 5 min read
An analysis of standing waves in nonlinear Hartree type equations and their significance.
Eduardo de Souza Böer, Ederson Moreira dos Santos
― 6 min read
Examining equations modeling heat spread and substance mixing over time.
Mersiad Aripov, Makhmud Bobokandov
― 5 min read
A study on positive solutions and their behavior under boundary conditions.
Phuong Le
― 5 min read
This article explores properties and applications of nonlocal elliptic equations.
Jingya Chen
― 5 min read
A new method to improve training in physics-informed neural networks.
Youngsik Hwang, Dong-Young Lim
― 6 min read
Exploring the best shapes for beams made of two materials.
Lorenzo Cavallina
― 5 min read
Examining how elastic materials interact with fluids and surface tension.
Longhui Xu
― 7 min read
Discover how movement and environment affect disease transmission.
Rui Peng, Rachidi B Salako, Yixiang Wu
― 6 min read
An insightful look at unique solutions in complex equations.
Abdelhamid Gouasmia
― 4 min read
Discover how competing species create intricate patterns in nature.
Valentina Bucur, Dr Bakhtier Vasiev
― 5 min read
Exploring how models help us understand disease movement and control epidemics.
Rui Peng, Rachidi B. Salako, Yixiang Wu
― 6 min read
Experts use advanced methods to detect corrosion in metal without dismantling structures.
Andrej Brojatsch, Bastian Harrach
― 7 min read
A look into the behavior of damped waves in specific geometric spaces.
Yulin Gong
― 6 min read
Examining the Muskat problem and its significance in fluid dynamics.
Jungkyoung Na
― 5 min read
Explore the science behind phase transitions and their real-world applications.
Margherita Solci
― 5 min read
Learn how two fluids interact in porous media and its real-world implications.
Yiran Xu, Stephen Cameron, Ke Chen
― 6 min read
Discover the intriguing world of fractional Choquard equations and their importance in various fields.
Yongpeng Chen, Zhipeng Yang, Jianjun Zhang
― 5 min read
This paper examines how solutions to the NLS change and decay over time.
Matthew Kowalski
― 8 min read
A look into how fluids behave and the challenges faced in fluid dynamics.
Darko Mitrovic
― 5 min read
A clear look at how materials change and the role of critical points.
Martin Rakovsky
― 5 min read
A look at how scalar conservation laws govern flow and change in various systems.
Jeffrey Cheng
― 12 min read
Exploring how particles behave near black holes within Schwarzschild spacetime.
Renato Velozo Ruiz
― 4 min read
Discover how solitons behave in different media and their fascinating properties.
Marcos Caso-Huerta, Lili Bu, Shihua Chen
― 7 min read
Explore the heat equation's impact on daily life and various fields.
Effie Papageorgiou
― 6 min read
A look into constant scalar curvature metrics and their challenges.
Mehrdad Najafpour
― 5 min read
Discover new ways to effectively compare different data sets across fields.
Gennaro Auricchio, Giovanni Brigati, Paolo Giudici
― 6 min read
A look into complex equations within Tricomi domains and their challenges.
Carlos Alberto Reyes Peña, Olimpio Hiroshi Miyagaki, Rodrigo da Silva Rodrigues
― 5 min read
Discover how fluids behave when pushed through sieve-like barriers in pipes.
Gianmarco Sperone
― 5 min read
Explore how particles behave at high speeds and their implications.
Yi Wang, Li Li, Zaihong Jiang
― 5 min read
Introducing a method to solve complex conservation equations efficiently.
Kenneth Duru, Dougal Stewart, Nathan Lee
― 6 min read
A closer look at how causal attention shapes AI language models.
Nikita Karagodin, Yury Polyanskiy, Philippe Rigollet
― 7 min read
A look at how vibrating strings create sound and change behavior.
Carlos Garcia-Azpeitia, Ziad Ghanem, Wieslaw Krawcewicz
― 5 min read
Exploring the unique behaviors and properties of heavy atoms in physics.
Long Meng, Heinz Siedentop
― 8 min read
VINO combines physics and machine learning for efficient PDE solutions.
Mohammad Sadegh Eshaghi, Cosmin Anitescu, Manish Thombre
― 6 min read
Discover the connections between complex equations and unique geometric spaces.
Mathew George
― 5 min read
This article examines how connection weights evolve over time in graphs.
Jicheng Ma, Yunyan Yang
― 6 min read
A deep dive into biharmonic operators and their role in inverse problems.
Boya Liu, Salem Selim
― 6 min read