A look at how scalar conservation laws govern flow and change in various systems.
Jeffrey Cheng
― 12 min read
Mathematics - Analysis of PDEs
RSSExploring 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
A deep look at player strategies in cooperative and competitive games.
Lauren Conger, Franca Hoffmann, Eric Mazumdar
― 6 min read
An overview of solitons and breathers in nonlinear wave equations.
Liming Ling, Dmitry E. Pelinovsky, Huajie Su
― 6 min read
A look into the journey of solving the super-Liouville equation with boundaries.
Mingyang Han, Ruijun Wu, Chunqin Zhou
― 6 min read
Exploring the dance of chance and environment in random walks.
Jean-Dominique Deuschel, Martin Slowik, Weile Weng
― 6 min read
A deep dive into finding multiple solutions of nonlinear equations.
Martin Kolodziejczyk, Michela Ottobre, Gideon Simpson
― 7 min read
A simple look at non-local minimal sets and their importance in math and science.
Serena Dipierro, Enrico Valdioci, Riccardo Villa
― 5 min read
Scientists study complex interactions of particles and their unpredictable behaviors.
Alexis Béjar-López, Alain Blaustein, Pierre-Emmanuel Jabin
― 6 min read
A look at how operators behave on surfaces in mathematics.
Suresh Eswarathasan, Allan Greenleaf, Blake Keeler
― 5 min read
A look into how substances interact and change over time.
Saumyajit Das, Harsha Hutridurga
― 8 min read
Mathematical models shine light on how cells spread in various environments.
Yuhui Chen, Michael C. Dallaston
― 7 min read
Examining how Sobolev functions adapt to changing domains.
Nikita Evseev, Malte Kampschulte, Alexander Menovschikov
― 8 min read
A look into mixed-type equations and their unique solutions.
Olimpio Hiroshi Miyagaki, Carlos Alberto Reyes Peña, Rodrigo da Silva Rodrigues
― 6 min read
A look at complex math concepts applied to real-life situations.
H. Mete Soner, Valentin Tissot-Daguette, Jianfeng Zhang
― 6 min read
A look at how the Burgers equation models fluid behavior.
Vincent Laheurte
― 7 min read
Learn how to manage chemical reactions for better results.
Yevgeniia Yevgenieva, Alexander Zuyev, Peter Benner
― 4 min read
Exploring the science behind fluids and magnetic fields.
Baishun Lai, Shihao Zhang
― 5 min read
Examining particle movement and challenges in the advection equation.
Giulia Mescolini, Jules Pitcho, Massimo Sorella
― 5 min read
A look at models and laws shaping traffic management.
Felisia Angela Chiarello, Simone Fagioli, Massimiliano Daniele Rosini
― 4 min read
Exploring the significance and applications of fractional Sobolev spaces in various fields.
Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli
― 9 min read
Learn how fluids behave under the influence of relativity near massive objects.
Brian B. Luczak
― 6 min read
Learn about Wilton ripples and their connection to the Kawahara equation.
Ryan P. Creedon
― 6 min read
Exploring the importance of stability in Sobolev inequalities and its practical applications.
Jean Dolbeault
― 6 min read
An insight into how randomness shapes vegetation patterns.
Christian Hamster, Peter van Heijster, Eric Siero
― 7 min read