GEDMYS

In this work, we expand on the weak asymptotic analysis originally proposed in Abreu et al. (2024) for the investigation of scalar equations and systems of conservation laws, extending it to encompass scalar equations with nonlocal fluxes. …

In this paper, we study the Riemann solutions for two systems: the nonsymmetric Keyfitz–Kranzer system and the pressureless system, both characterized by a time-dependent Coulomb-like friction term. Our analysis identifies two types of Riemann …

In this work, we have expanded upon the (local) semi-discrete Lagrangian–Eulerian method initially introduced in Abreu et al. (2022) to approximate a specific class of multi-dimensional scalar conservation laws with nonlocal flux, referred to as the …

Quinoa cultivation is notable for the nutritional value of its grain and its ability to adapt to diverse environmental conditions. However, morphobiometric and seed quality studies on quinoa are scarce, especially regarding Colombian germplasm. In …

In this paper, we study two systems with a time-variable coefficient and general time-gradually-degenerate damping. More explicitly, we construct the Riemann solutions to the time-variable coefficient Zeldovich approximation and time-variable …

We investigate the spectral types of families of discrete one-dimensional Schrödinger operators $\{H_{\omega }{\}}_{\omega \in \mathrm{\Omega }}$, where each $H_{\omega }$ has a potential function $V_{\omega }(n)=f(T^n\omega )$ for $n\in \mathbb{Z}$, $T$ is an ergodic …

The notion of expansivity and its generalizations (measure expansive, measure positively expansive, continuum-wise expansive, countably-expansive) are well known for deterministic systems and can be a useful property for studying significant type of …

In this paper, we study the Riemann problem for a general variable coefficient Burgers equation with time-dependent damping. We use a nonlinear time-dependent viscosity equation with a similarity variable. Thus, when the viscosity goes to zero, we …

A través de estas notas de clase, se pretende que el aprendizaje sea accesible a la comunidad académica en especial a los estudiantes y profesores con una buena formación matemática, con esta obra de bajo costo. Los temas tratados aquí son una …

A homoclinic class is the closure of the transverse intersection points of the stable and unstable manifolds of a hyperbolic periodic orbit. In this paper, we prove, using the techniques presented in [1], that the Plykin and the Solenoid attractors …