Latest Articles for Regularity

This study examines the regularity and behavior of solutions to the Novikov equation.

Exploring equations that explain material properties and their changes.

Exploring how randomness impacts solutions to partial differential equations.

An overview of regularity in fluid dynamics and the Stokes equations.

Examining energy minimizers and their properties in varied regions.

Exploring the complexities of optimal transportation and the role of Kantorovich potentials.

A look at the Monge-Ampère system and its applications across various fields.

Examining energy minimization in harmonic maps within homotopy classes.

Explore Kneser graphs, dominating sets, and their significance in various fields.

This study analyzes existence and regularity of solutions in specific equations.

This article examines mathematical behaviors affecting population changes over time.

Explore the behavior of solutions to the Poisson equation and their applications.

An overview of semiclassical Schrödinger operators and their spectral properties in various potentials.

Explore the complexities of directed graphs with vertex weights and edge ideals.

Research explores how neurons interact and learn in large language models.

This article discusses polynomials, apolar schemes, and their regularity in mathematics.

A look at how residues behave within Pascal's Triangle under prime conditions.

Examining the significance of elliptic and parabolic problems in mathematics and their applications.

A look at the significance of reaction-diffusion problems in science and engineering.

A new model enhances understanding of fluid behavior at moving boundaries.

A concise overview of fluid motion and its critical principles.

An exploration of metric measure spaces and their significance in mathematics.

An insight into how regularity shapes movements and structures in mathematics.

Discovering shapes that minimize eigenvalues within volume limits.

This work examines effective sparse optimization strategies in fractional Sobolev spaces.

This article examines the recent research on bi-rotational Euler flows in four dimensions.

The study reveals how active particles' behavior stabilizes over time through mathematical modeling.

This study explores smooth solutions to the isotropic Landau equation under broader initial conditions.

A look into the complex nature of submanifolds in Heisenberg groups.

Understanding the complexities of nonlinear equations in various fields.

This article examines the optimal way to attach elastic plates to minimize energy.

A look at decision-making under uncertainty and how to make optimal choices.

A look at the Stefan problem and the behavior of phase changes.

A look into scalar conservation laws and their impact on natural systems.

Analyzing and mitigating discretization errors in Fourier Neural Operators for better predictions.

Examining solutions to time-fractional biharmonic problems in engineering and physics.

An overview of integrodifferential operators and their role in various fields.

This article reviews methods to sum non-converging matrix series.

A look into establishing criteria for solutions in parabolic Cauchy problems.

Examining energy efficiency of liquid droplets on convex surfaces.