Examining new approaches to Plateau's problem and their implications.
― 7 min read
Mathematics - Analysis of PDEs
RSSThis study examines how symmetries impact Sobolev embeddings and their applications.
― 5 min read
Exploring collective behavior through the study of self-propelled particles.
― 5 min read
A look at atherosclerosis and how macrophages contribute to its progression.
― 4 min read
This study examines normalized solutions to the quasilinear Schrödinger equation and their significance.
― 4 min read
Exploring new findings in Moser-Trudinger inequalities and their significance in mathematics.
― 6 min read
Exploring how randomness affects system changes in nonlocal diffusion, especially in MEMS.
― 6 min read
Examining how curves evolve and change through shortening flow dynamics.
― 5 min read
Examining stable solutions for equations governing gaseous stars influenced by gravity.
― 6 min read
Examining interactions between superfluid and normal fluid phases in Helium-4.
― 6 min read
Explore the Grushin plane's properties and significance in mathematics and physics.
― 4 min read
A robust approach to ensure accuracy in simulations of semilinear parabolic PDEs.
― 5 min read
Exploring the significance and applications of minimal surfaces across various fields.
― 6 min read
This article examines the behavior and reconnection of vortices in fluid dynamics.
― 5 min read
A study on optimizing actions in large groups of interacting agents.
― 9 min read
An in-depth look at the challenges and solutions within the Navier-Stokes equations.
― 7 min read
This study examines conditions for positive radial solutions in annular domains.
― 4 min read
New models improve accuracy by incorporating heat effects in ultrasonic transducer design.
― 5 min read
A study on shock waves and their behavior in fluid dynamics.
― 7 min read
Neural networks offer new ways to solve complex Poisson equations in high dimensions.
― 7 min read
A brief look at the stability and importance of crystalline materials.
― 4 min read
An overview of fluid stability and its significance in various applications.
― 4 min read
Research reveals how domain shapes affect the concavity of partial differential equation solutions.
― 5 min read
This article investigates the Vlasov-Poisson system's stability in unconfined plasma.
― 5 min read
This article explores fluid behavior under varying viscosity and random influences.
― 5 min read
The study of magnetic materials enhances data storage efficiency and performance.
― 6 min read
A guide on the transitions of energy levels in quantum systems.
― 4 min read
A look into how resonator arrays function and their applications.
― 6 min read
Explore the role and implications of hyperbolic conservation laws in various fields.
― 4 min read
New technique improves temperature management in fluid-cooled battery packs using AI.
― 5 min read
Research on twisted bilayer graphene reveals unique electronic properties and potential applications.
― 6 min read
A deep dive into the shapes and properties of soap bubbles and their implications.
― 7 min read
Examining how to steer wave systems effectively through controllability techniques.
― 5 min read
A look into phase separation in materials using the Cahn-Hilliard equation.
― 6 min read
This study examines how substances mix in flowing liquids and gases.
― 5 min read
A look into biharmonic operators and their role in structural vibrations.
― 5 min read
Oxygen influences cancer cell behavior and growth within tumors.
― 5 min read
A look into stochastic Navier-Stokes flows and their zero viscosity implications.
― 7 min read
A deep dive into reaction-diffusion problems and their significance in various fields.
― 5 min read
Techniques for solving complex differential equations in engineering and mathematics.
― 5 min read