Examining gradient flows and their role in probability density functions and sampling methods.
― 5 min read
Mathematics - Analysis of PDEs
RSSExamining the complexities of scalar conservation laws influenced by abrupt changes.
― 5 min read
Exploring Nečas-Lions and Babuška-Aziz inequalities within star-shaped domains.
― 4 min read
An exploration of sound behavior in bubbly liquids and its potential applications.
― 5 min read
Examining how elastic materials change shape under applied forces.
― 4 min read
A study on manipulating temperature using Wentzell boundary conditions and Dirichlet control.
― 4 min read
This article explores how gases evolve from polynomial to Gaussian distributions over time.
― 7 min read
This study investigates eigenfunctions and their behavior in complex mathematical settings.
― 6 min read
Learn how nonlocal conservation laws impact traffic and crowd dynamics.
― 4 min read
Analyzing how slight shape variations affect the Poisson equation's solutions.
― 6 min read
A model focuses on vehicle space to improve traffic management.
― 5 min read
A new model helps improve chemotherapy effectiveness while protecting healthy cells.
― 5 min read
Research sheds light on predicting extreme water waves and their behavior.
― 8 min read
A study on solitary water waves with constant vorticity and their implications.
― 5 min read
A look into wave behavior influenced by potentials in mathematical physics.
― 6 min read
This 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