Cat. A1

Riemann problem for a nonsymmetric Keyfitz–Kranzer and pressureless gas systems with a time-dependent Coulomb-like friction term

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 …

Weak asymptotic analysis approach for first order scalar conservation laws with nonlocal flux

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. …

Semi-discrete Lagrangian–Eulerian approach based on the weak asymptotic method for nonlocal conservation laws in several dimensions

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 …

On a class of nonautonomous quasilinear systems with general time-gradually-degenerate damping

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 …

The Influence of Emotional Competencies on the Entrepreneurship Intentions of University Students in Colombia

The main objective of this article is to analyze the effect of a group of predictors on entrepreneurial intention from the perspective of emotional competencies. To achieve this aim, a sample of 996 students belonging to ten public and seven private …

Random expansive measures

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 …

Riemann problem for a general variable coefficient Burgers equation with time-dependent damping

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 …

Quantitative statistical stability for equilibrium states of piecewise partially hyperbolic maps

We consider a class of endomorphisms that contains a set of piecewise partially hyperbolic dynamics semi-conjugated to non-uniformly expanding maps. Our goal is to study a class of endomorphisms that preserve a foliation that is almost everywhere …

Modelling the influence of social learning on responsible consumption through directed graphs

This study examines the impact of social learning on consumption and production decisions in a societal context. Individuals learn the actual value of nature through information and subsequent network communication, which is illustrated using the …

Coherent pairs and Sobolev-type orthogonal polynomials on the real line: An extension to the matrix case

In this contribution, we extend the concept of coherent pair for two quasi-definite matrix linear functionals $u_{0}$ and $u_{1}$. Necessary and sufficient conditions for these functionals to constitute a coherent pair are determined, when one of …