Explore the basics and key concepts of the linear wave equation.
― 5 min read
Mathematics - Analysis of PDEs
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Examining energy decay and scattering behavior of electromagnetic waves.
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An exploration of how material and shape affect wire behavior under stress.
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A look into the fractional Laplacian and its implications in various fields.
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A look into oscillatory integral operators and their significance in mathematics.
― 4 min read
Exploring the estimation of the Hardy constant using finite element methods.
― 5 min read
Examining the effects of ill-posedness in generalized SQG equations and its implications.
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An overview of nonlocal minimal surfaces and their significance in geometry.
― 5 min read
This study investigates how tiny particles behave in unique liquid crystal environments.
― 5 min read
A look into Fredholm conditions and pseudodifferential operators in mathematics and physics.
― 6 min read
Study reveals how imperfections affect resonator behavior.
― 6 min read
Research unveils crucial factors affecting Oldroyd-B fluid stability in various processes.
― 5 min read
This article explores the behavior of thin filaments in fluids using mathematical tools.
― 5 min read
Discover how PoissonNet improves 3D shape reconstruction from point cloud data.
― 6 min read
An overview of relativistic Euler equations and shock formation in fluids.
― 5 min read
This research analyzes how certain heat equations lead to sudden temperature increases.
― 5 min read
This study examines the regularity and behavior of solutions to the Novikov equation.
― 4 min read
A look into the Navier-Stokes equations and the impact of randomness on fluid behavior.
― 4 min read
An analysis of how blood flows through arteries and its health implications.
― 6 min read
A look at optimal transport, curvature, and real-world applications.
― 4 min read
An overview of fluid motion and the Euler-Poisson system's behavior under varying conditions.
― 5 min read
A look into the key concepts of quantum mechanics and their implications.
― 6 min read
A look into how particles merge and form larger clusters in various fields.
― 5 min read
A look into two-phase flow behavior and its implications in science and engineering.
― 7 min read
Exploring how internal clocks influence cell movement and group dynamics.
― 5 min read
This study enhances understanding of pseudodifferential operators and their applications in sciences.
― 6 min read
Research reveals how controlled randomness impacts wave dynamics in the FPUT lattice.
― 5 min read
Exploring the role of dynamic p-Laplacian in analyzing fluid motion and coherent sets.
― 6 min read
Twisted trilayer graphene shows unique electronic properties through its layered and twisted structure.
― 6 min read
Exploring equations that explain material properties and their changes.
― 5 min read
A look at how laser waves interact with materials through the bi-laplacian Schrödinger equation.
― 5 min read
A clear look at half-wave maps and their role in wave behavior.
― 5 min read
Exploring the quasi-geostrophic model's role in understanding fluid dynamics and climate.
― 5 min read
Exploring the unique properties and potential applications of twisted bilayer graphene.
― 3 min read
An overview of Hermite eigenfunctions and their importance in various fields.
― 5 min read
A look into how forest fires spread and their impact on the environment.
― 5 min read
This article investigates solution behavior of the Kuramoto-Sivashinsky equation from rough initial data.
― 5 min read
Investigating how the cytoskeleton responds to stress in cells.
― 7 min read
This study examines how magnetic fields affect the stability of Couette flow.
― 5 min read
Examining how fluids swirl near surfaces and its engineering implications.
― 5 min read
Discover the principles behind lens design and how they affect light behavior.
― 7 min read