An exploration of sound behavior in bubbly liquids and its potential applications.
Arpan Mukherjee, Mourad Sini
― 5 min read
Mathematics - Analysis of PDEs
RSSLatest Articles
Analysis of PDEsThe Deformation Dynamics of Elastic Materials
Ionel-Dumitrel Ghiba, Franz Gmeineder, Sebastian Holthausen
― 4 min read
Optimization and ControlControlling Heat Flow with Advanced Techniques
S. E. Chorfi, M. I. Ismailov, L. Maniar
― 4 min read
Analysis of PDEsThe Transition in Gas Behavior: From Polynomial to Gaussian
Yu-Chu Lin, Haitao Wang, Kung-Chien Wu
― 7 min read
Analysis of PDEsExamining Eigenfunctions in Singular Potentials and Submanifolds
Xiaoqi Huang, Xing Wang, Cheng Zhang
― 6 min read
Analysis of PDEsThe Growing Importance of Nonlocal Conservation Laws
Maria Colombo, Gianluca Crippa, Laura V. Spinolo
― 4 min read
Latest Articles
Analyzing how slight shape variations affect the Poisson equation's solutions.
Martin Costabel, Matteo Dalla Riva, Monique Dauge
― 6 min read
A model focuses on vehicle space to improve traffic management.
Nandan Maiti, Bhargava Rama Chilukuri
― 5 min read
A new model helps improve chemotherapy effectiveness while protecting healthy cells.
Jeff Morgan, Bao Quoc Tang, Hong-Ming Yin
― 5 min read
Research sheds light on predicting extreme water waves and their behavior.
Ricardo Grande
― 8 min read
A study on solitary water waves with constant vorticity and their implications.
James Rowan, Lizhe Wan
― 5 min read
A look into wave behavior influenced by potentials in mathematical physics.
Gavin Stewart
― 6 min read
This study explores competition among species along habitat borders and their implications.
Pablo Álvarez-Caudevilla, Cristina Brändle, Mónica Molina-Becerra
― 4 min read
An exploration of dark solitons and their significance in various scientific fields.
André de Laire, Salvador López-Martínez
― 5 min read
A look into the Stokes operator's role in nonsmooth domains.
Jun Geng, Zhongwei Shen
― 5 min read
Explore how elastic curves evolve while maintaining area and energy efficiency.
Leonie Langer
― 5 min read
A look at how gas particles interact and their implications.
Corentin Le Bihan
― 5 min read
Explore the role and applications of total variation energies in various fields.
Yoshikazu Giga, Ayato Kubo, Hirotoshi Kuroda
― 6 min read
Exploring how random walks uncover hidden properties in graph structures.
Giovanni Covi, Matti Lassas
― 6 min read
Explore how parabolic equations impact physics, engineering, and finance.
Bogdan-Vasile Matioc, Luigi Roberti, Christoph Walker
― 4 min read
Exploring the behavior and optimization of liquid crystal drops.
Alessandro Giacomini, Silvia Paparini
― 5 min read
Exploring how voltage affects soap film bridges and their behavior.
Lina Sophie Schmitz
― 4 min read
A look at how electromagnetic waves interact with obstacles and their significance.
Huaian Diao, Hongyu Liu, Qingle Meng
― 5 min read
Optimal transport reshapes data science across multiple fields through efficient mass movement.
Alberto González-Sanz, Shunan Sheng
― 5 min read
A look into how microbubbles enhance ultrasound imaging quality.
Vanja Nikolić, Teresa Rauscher
― 7 min read
A look into semilinear parabolic problems and their implications in various fields.
Bianca P. Lorenzi, Antônio L. Pereira
― 5 min read
An overview of free boundary problems and their significance in various fields.
Camillo De Lellis
― 6 min read
Explore the significance of the Saint Venant operator in tensor field analysis.
Shubham R. Jathar, Manas Kar, Venkateswaran P. Krishnan
― 5 min read
An overview of the inverse obstacle problem and its implications in imaging.
Vincenzo Mottola, Antonio Corbo Esposito, Luisa Faella
― 6 min read
This article explores how aggregation-diffusion equations explain group behaviors in nature.
Roumen Anguelov, Chelsea Bright
― 5 min read
Study of charged particles in materials impacts biology, geology, and engineering.
Apratim Bhattacharya
― 6 min read
Explore how cells move in response to chemical signals and its significance.
Herbert Egger, Kathrin Hellmuth, Nora Philippi
― 4 min read
A look at Sobolev spaces and their significance in analysis and differential equations.
Lorenzo Carletti
― 6 min read
An analysis of the behavior of spacetime near singularities and BKL bounces.
Warren Li
― 5 min read
Investigating cosmic bounces and their role in universe dynamics.
Warren Li
― 5 min read
New methods enhance community detection in various network types.
Jicheng Ma, Yunyan Yang
― 6 min read
New methods improve medical imaging accuracy through better image registration techniques.
Daniel E. Hurtado, Axel Osses, Rodrigo Quezada
― 5 min read
Exploring wave interactions and weak solutions in particle dynamics.
Kayyunnapara Divya Joseph
― 5 min read
A look into elastic waves, their behaviors, and key challenges in analysis.
Kayyunnapara Divya Joseph
― 4 min read
A detailed look at solving elastodynamic problems in nonconservative systems.
Kayyunnapara Divya Joseph, P. A Dinesh
― 5 min read
Study reveals criteria for smoothness and singularity formation in particle behavior.
Olga S. Rozanova
― 6 min read
Mean Field Games analyze interactions among many players to find optimal strategies.
Yohance A. P. Osborne, Iain Smears
― 4 min read
This study investigates how singularities affect the stability of Ricci shrinkers.
Louis Yudowitz
― 5 min read
Examining complex equations in fluid dynamics and their implications.
Kayyunnapara Divya Joseph
― 5 min read
Delay PDEs offer insights into systems affected by time lags across various fields.
Deeksha Tomer, Bankim Chandra Mandal
― 6 min read
A look at how fluids and structures influence each other across various fields.
George Avalos, Dylan McKnight, Sara McKnight
― 6 min read