New results improve understanding of function behavior through Sobolev trace inequalities.
― 3 min read
Cutting edge science explained simply
New results improve understanding of function behavior through Sobolev trace inequalities.
― 3 min read
Latest Articles
Latest Articles
Exploring the role and construction of bounded Poincaré operators in mathematics.
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Research reveals key factors affecting flow stability in magnetohydrodynamics.
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An overview of complex k-Hessian equations and their role in mathematics and science.
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Examining smoothness in solutions of partial differential equations and their applications.
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Exploring the behavior of anisotropic plasmas when interacting with a vacuum.
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This article examines solutions to the stationary linearized Boltzmann equation in small curved spaces.
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Examining the critical interactions between predators and their prey in ecosystems.
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A look into degenerate and singular parabolic equations and their implications.
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A study on using mathematical models to shape materials efficiently.
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Explore how age, space, and density impact population dynamics.
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Study reveals stable periodic solutions in non-linear wave equations within Anti-de Sitter space.
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A look at Kolmogorov equations and their significance in understanding complex systems.
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An overview of how water waves form and their significance.
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A study of heat equations with changing thermal properties and their implications.
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Examining lump solutions in the fractional Kadomtsev-Petviashvili equation and their implications.
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Explore how trends develop, rise, and fade through various stages.
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A look into how populations grow and spread through the nonlocal Fisher-KPP equation.
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Exploring wave behavior through the nonlinear Schrödinger equation in various fields.
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A clear look at manifolds, differential operators, and their significance in mathematics.
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A look at mathematical problems involving semipositone issues and fractional operators.
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A study on Laplace equation solutions under specific conditions.
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New method simplifies particle growth equations for better nanoparticle design.
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A deep dive into the KP-BBM equation's role in wave behavior and solutions.
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An overview of harmonic functions and their behavior on Lipschitz surfaces.
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Exploring critical points related to energy densities and their implications in geometry and physics.
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An overview of the interactions between fluids and solid structures in various fields.
― 8 min read
Study of fractional Laplacians improves understanding of anomalous diffusion.
― 5 min read
A look into fluid motion and its implications across various fields.
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This research examines how dislocations affect material properties and behavior under stress.
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Explore the role of kinetic equations in understanding particle behavior in various systems.
― 5 min read
Exploring the dynamics of many-particle systems through the Vlasov-Poisson framework.
― 6 min read
This article examines electron behavior and energy minimizers in atomic models.
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A method to track moving points using sound waves.
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A look into controlling systems using fractional order equations.
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An overview of inflation and dark matter's role in the universe.
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Research delves into the connection between geometry and mass distribution.
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A look into how shapes evolve under different forces.
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This article examines the mechanics of MEMS capacitors and their performance dynamics.
― 4 min read
A guide to optimal transport and its practical applications.
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A look into nonlinear wave equations and their connection to elasticity.
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