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The Fundamental Solution for the Heat Equation on the half-line with Drift and Dirichlet Boundary Condition

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arxiv 2010.00690 v2 pith:TMPUDVJ3 submitted 2020-10-01 math.PR

Tertuliano Franco , Patrícia Gonçalves , Nicolas Perkowski , Marielle Simon This is my paper · ORCID
classification math.PR
keywords boundaryconditiondirichletdriftequationfundamentalhalf-lineheat
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By a probabilistic method we provide an explicit fundamental solution of the Cauchy problem associated to the heat equation on the half-line with constant drift and Dirichlet boundary condition at zero.

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  1. Latent Space-Driven Quantification of Biofilm Formation using Time Resolved Droplet Microfluidics

    physics.bio-ph 2025-07 reject novelty 4.0 of 10

    A VAE-based unsupervised segmentation pipeline quantifies biofilm formation inside microfluidic droplets over time, with manually selected latent thresholds and pixel-area cutoffs defining biofilm classes.

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