A look into how forest fires spread and their impact on the environment.
― 5 min read
Mathematics - Analysis of PDEs
RSSThis 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
Exploring solutions, stability, and applications of fourth-order nonlinear parabolic equations.
― 6 min read
Exploring how randomness impacts solutions to partial differential equations.
― 5 min read
Explore key methods in quantum mechanics to simplify complex calculations.
― 7 min read
Examining the modified Camassa-Holm equation's properties in shallow water wave studies.
― 4 min read
A look into neuron networks and their impact on brain functionality.
― 7 min read
Examining how past experiences shape group decision-making and opinion dynamics.
― 5 min read
Research aims to enhance blood pump design by minimizing red blood cell damage.
― 7 min read
Study of how moving heat sources affect temperature distribution.
― 6 min read
An overview of regularity in fluid dynamics and the Stokes equations.
― 6 min read
Examining disease dynamics through a two-strain model in varied environments.
― 6 min read
Examining energy minimizers and their properties in varied regions.
― 5 min read
A look at ill-posedness in dispersive equations and its implications.
― 5 min read
This study analyzes the lifespan and behavior of damped wave solutions under various initial conditions.
― 4 min read
Exploring the complexities of optimal transportation and the role of Kantorovich potentials.
― 5 min read
This study investigates how bacteria move based on environmental factors using experimental data.
― 6 min read
A look into how sound waves affect various structures.
― 8 min read
This article examines how solutions to equations behave in varying conditions.
― 5 min read
New methods improve accuracy in traffic flow management and planning.
― 4 min read
Exploring global smooth solutions for quasilinear wave equations with short pulse initial data.
― 4 min read
Exploring how combustion behaves under various conditions through mathematical modeling.
― 5 min read
Examining heat conduction in 2D chains of oscillators affected by magnetic fields.
― 6 min read
A look into asymptotically complex hyperbolic manifolds and their wave dynamics.
― 6 min read
A look at the Monge-Ampère system and its applications across various fields.
― 5 min read
Examining energy minimization in harmonic maps within homotopy classes.
― 5 min read
A study on combustion models reveals unique solutions for multilayer porous materials.
― 4 min read
Recent research enhances our grasp of HJB equations and their applications across various fields.
― 5 min read
Uncovering the unique properties and stability of magic angles in twisted bilayer graphene.
― 6 min read
An overview of reaction-diffusion models and their significance in natural processes.
― 7 min read
Learn how to control complex systems in various applications.
― 5 min read
A look at mathematical modeling of tumor growth and necrotic core formation.
― 6 min read
Exploring the nature and applications of traveling waves in various fields.
― 3 min read
An overview of viscoelastic materials and their behavior under stress.
― 4 min read
A study on solution behaviors in differential equations using trace conditions.
― 5 min read
Understanding disease phases aids in effective public health responses.
― 5 min read