Examining how Sobolev functions adapt to changing domains.
― 8 min read
Mathematics - Analysis of PDEs
RSSA look into mixed-type equations and their unique solutions.
― 6 min read
A look at complex math concepts applied to real-life situations.
― 6 min read
A look at how the Burgers equation models fluid behavior.
― 7 min read
Learn how to manage chemical reactions for better results.
― 4 min read
Exploring the science behind fluids and magnetic fields.
― 5 min read
Examining particle movement and challenges in the advection equation.
― 5 min read
A look at models and laws shaping traffic management.
― 4 min read
Exploring the significance and applications of fractional Sobolev spaces in various fields.
― 9 min read
Learn how fluids behave under the influence of relativity near massive objects.
― 6 min read
Learn about Wilton ripples and their connection to the Kawahara equation.
― 6 min read
Exploring the importance of stability in Sobolev inequalities and its practical applications.
― 6 min read
An insight into how randomness shapes vegetation patterns.
― 7 min read
Learn how particles move and interact in captivating ways.
― 7 min read
A look into the supercritical Lane–Emden equation and its implications.
― 7 min read
An exploration of unique shapes shaped by curvature in geometry.
― 6 min read
A detailed look at wave solutions in the modified Zakharov-Kuznetsov equation.
― 7 min read
Explore how different phases mix and move in various environments.
― 3 min read
Understanding how tiny particles interact reveals the nature of chaos.
― 6 min read
A look into controlling systems with parabolic partial differential equations.
― 6 min read
Analyzing how small changes affect rabbit populations using the Fisher-KPP equation.
― 6 min read
A simple look at flat chains and metric currents in math.
― 5 min read
A look into how gradients and measures shape our understanding of math.
― 5 min read
Discover the unique qualities of viscoelastic fluids and their real-world applications.
― 7 min read
A study of how water and oil interact in porous media.
― 7 min read
A look into how materials behave under various forces with free boundaries.
― 6 min read
Discover the unusual properties and applications of quasicrystals in technology.
― 5 min read
A look at fluid dynamics and the Navier-Stokes equations.
― 6 min read
Exploring the evolution of shapes through curvature flows in unique mathematical spaces.
― 5 min read
This article discusses Riesz transforms and their significance in mathematics.
― 8 min read
Exploring how eigenvalue bounds affect physical systems in mathematics.
― 6 min read
Biofilms serve essential roles in ecosystems and industry, yet pose challenges in understanding.
― 6 min read
A look into the behaviors of solitons when mixed with randomness.
― 7 min read
A look at how this model helps in fluid dynamics.
― 7 min read
Learn how phase transitions affect everyday materials and our daily lives.
― 5 min read
A clear breakdown of Chern-Simons theory and its significance in physics.
― 6 min read
Learn how identifiability affects biological modeling and scientific conclusions.
― 8 min read
Discover the role of hexagons in nature and their efficiency in energy.
― 8 min read
Explore how materials reshape over time through atomic movement.
― 8 min read
A look into the significance of mixed local and nonlocal Kirchhoff problems in mathematics.
― 7 min read