Ernesto A. Borrego Rodriguez

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math.AP2026

Lie symmetry method for a nonlinear heat-diffusion equation

Julieta Bollati, Ernesto A. Borrego Rodriguez, Adriana C. Briozzo

We investigate the nonlinear heat-diffusion equation $C (u) u_{t} = (K (u) u_{x})_{x}$ , where $C (u)$ and $K (u)$ are coefficients that depend on u. By applying the classical Lie symmetry meth…

math.AP2025

A class of moving boundary problems with an exponential source term

Julieta Bollati, Ernesto A. Borrego Rodriguez, Adriana C. Briozzo +1

This work investigates a class of moving boundary problems related to a nonlinear evolution equation featuring an exponential source term. We establish a connection to Stefan-type…