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20132026
most citedTwo equivalent Stefan's problems for the Time Fractional Diffusion Equation

30 citations

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29 papers · 1 filter

math.AP2026

Regularization operators for identifying the unknown source in the time-fractional convection-diffusion-reaction equation

Guillermo Federico Umbricht, Diana Rubio

This article presents a mathematical study of the problem of identifying a time-dependent source term in transport processes described by a timefractional parabolic equation, based…

math.AP2025

Moving boundary problems for a novel extended mKdV equation. Application of Ermakov-Painlevé II symmetry reduction

Colin Rogers, Adriana C. Briozzo

A novel extension of the canonical solitonic mKdV equation is introduced which admits hybrid Ermakov-Painlevé II symmetry reduction. Application of the latter is made to obtain exa…

math.AP2025★ 1 cited

Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications

Colin Rogers, Adriana C. Briozzo

Moving boundary problems of Stefan-type for a novel third order nonlinear evolution equation with temporal modulation are here shown to be amenable to exact Airy-type solution via…

math.AP2024★ 6 cited

Regularization Techniques for Estimating the Source in a Complete Parabolic Equation in

Guillermo Federico Umbricht, Diana Rubio

In this article, the problem of identifying the source term in transport processes given by a complete parabolic equation is studied mathematically from noisy measurements taken at…

math.AP2023★ 9 cited

Mathematical model of thermal phenomena of closure electrical contact with Joule heat source and nonlinear thermal coefficients

Julieta Bollati, Adriana C. Briozzo, Stanislav N. Kharin +1

The mathematical model describing the dynamics of closed contact heating which involves vaporization of the metal when instantaneous explosion of micro-asperity occurs is presented…

math.AP2023★ 1 cited

A class of elliptic mixed boundary value problems with -Laplacian: existence, comparison and optimal control

Shengda Zeng, Stanislaw Migorski, Domingo A. Tarzia +2

The paper deals with two nonlinear elliptic equations with -Laplacian and the Dirichlet-Neumann-Dirichlet (DND) boundary conditions, and Dirich\-let-Neu\-mann-Neumann (DNN)…