This article discusses modeling techniques for analyzing tumor growth and early detection.
Abramo Agosti, Elena Beretta, Cecilia Cavaterra
― 6 min read
Mathematics - Analysis of PDEs
RSSAn introduction to differential equations and their significance in various fields.
Nils Dencker
― 6 min read
Explore wave equations in fractional Sobolev spaces with boundary conditions.
Pascal Lehner
― 5 min read
This article examines the behavior of vorticity in axisymmetric flows without swirl.
Deokwoo Lim, In-Jee Jeong
― 4 min read
Exploring fluid behavior in structures with holes using mathematical methods.
Wenjia Jing, Yong Lu, Christophe Prange
― 4 min read
Exploring the behavior and importance of compressible viscous fluids in science and engineering.
Nilasis Chaudhuri, Piotr B. Mucha, Milan Pokorný
― 6 min read
An exploration of semilinear elliptic equations and their properties in various fields.
Marta Calanchi, Bernhard Ruf
― 4 min read
Examining the stability properties of vortex quadrupoles and their real-world implications.
Kyudong Choi, In-Jee Jeong, Yao Yao
― 5 min read
Learn how corotational rates help understand material responses to force.
Patrizio Neff, Sebastian Holthause, Sergey N. Korobeynikov
― 4 min read
This article explores the dynamics of particle interactions through coagulation and fragmentation.
Jiwoong Jang, Hung V. Tran
― 5 min read
A look into how materials react to stress and deformation.
Patrizio Neff, Sebastian Holthausen, Marco Valerio d'Agostino
― 5 min read
Researchers analyze heat movement in buildings using graphs and innovative methods.
Patrick Erik Bradley, Angel Alfredo Moran Ledezma
― 7 min read
A study on soap films influenced by electrostatic forces and their stability.
Lina Sophie Schmitz
― 4 min read
A look into weighted Sobolev spaces and their importance in angular domains.
Petru A. Cioica-Licht, Cornelia Schneider, Markus Weimar
― 4 min read
Study reveals how electrostatic forces affect soap film shape and stability.
Lina Sophie Schmitz
― 5 min read
Exploring the stability of shock profiles in conservation laws using numerical methods.
Lucas Coeuret
― 7 min read
Explore numerical methods for solving the Hunter-Saxton equation and their accuracy.
Thomas Christiansen
― 5 min read
A look at the challenges and insights from studying fluid behavior through the 2D Euler equations.
Elaine Cozzi, Nicholas Harrison
― 5 min read
Examining 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