A look into wave behavior influenced by potentials in mathematical physics.
― 6 min read
Mathematics - Analysis of PDEs
RSSThis study explores competition among species along habitat borders and their implications.
― 4 min read
An exploration of dark solitons and their significance in various scientific fields.
― 5 min read
A look into the Stokes operator's role in nonsmooth domains.
― 5 min read
Explore how elastic curves evolve while maintaining area and energy efficiency.
― 5 min read
A look at how gas particles interact and their implications.
― 5 min read
Explore the role and applications of total variation energies in various fields.
― 6 min read
Exploring how random walks uncover hidden properties in graph structures.
― 6 min read
Explore how parabolic equations impact physics, engineering, and finance.
― 4 min read
Exploring the behavior and optimization of liquid crystal drops.
― 5 min read
Exploring how voltage affects soap film bridges and their behavior.
― 4 min read
A look at how electromagnetic waves interact with obstacles and their significance.
― 5 min read
Optimal transport reshapes data science across multiple fields through efficient mass movement.
― 5 min read
A look into how microbubbles enhance ultrasound imaging quality.
― 7 min read
A look into semilinear parabolic problems and their implications in various fields.
― 5 min read
An overview of free boundary problems and their significance in various fields.
― 6 min read
Explore the significance of the Saint Venant operator in tensor field analysis.
― 5 min read
An overview of the inverse obstacle problem and its implications in imaging.
― 6 min read
This article explores how aggregation-diffusion equations explain group behaviors in nature.
― 5 min read
Study of charged particles in materials impacts biology, geology, and engineering.
― 6 min read
Explore how cells move in response to chemical signals and its significance.
― 4 min read
A look at Sobolev spaces and their significance in analysis and differential equations.
― 6 min read
An analysis of the behavior of spacetime near singularities and BKL bounces.
― 5 min read
Investigating cosmic bounces and their role in universe dynamics.
― 5 min read
New methods enhance community detection in various network types.
― 6 min read
New methods improve medical imaging accuracy through better image registration techniques.
― 5 min read
Exploring wave interactions and weak solutions in particle dynamics.
― 5 min read
A look into elastic waves, their behaviors, and key challenges in analysis.
― 4 min read
A detailed look at solving elastodynamic problems in nonconservative systems.
― 5 min read
Study reveals criteria for smoothness and singularity formation in particle behavior.
― 6 min read
Mean Field Games analyze interactions among many players to find optimal strategies.
― 4 min read
This study investigates how singularities affect the stability of Ricci shrinkers.
― 5 min read
Examining complex equations in fluid dynamics and their implications.
― 5 min read
Delay PDEs offer insights into systems affected by time lags across various fields.
― 6 min read
A look at how fluids and structures influence each other across various fields.
― 6 min read
A novel criterion extends understanding of solutions and blow-up behavior in SPDEs.
― 5 min read
Exploring the link between Toda lattice dynamics and minimal surfaces in mathematics.
― 6 min read
A look into the nature of conformal metrics and their singularities.
― 6 min read
A look into curvature, singularities, and metrics on surfaces.
― 4 min read
A study on fluid behavior in channels and its implications.
― 5 min read