@inproceedings{4d13fd3063f84501b404a401ae7c5c11,
title = "The nonlinear heat equation with state–dependent parameters and its connection to the Burgers{\textquoteright} and the potential Burgers{\textquoteright} equation",
abstract = "In this work the stability properties of a nonlinear partial differential equation (PDE) with state–dependent parameters is investigated. Among other things, the PDE describes freezing of foodstuff, and is closely related to the (Potential) Burgers{\textquoteright} Equation. We show that for certain forms of coefficient functions, the PDE converges to a stationary solution given by (fixed) boundary conditions that make physical sense. We illustrate the results with numerical simulations.",
author = "Backi, {Christoph Josef} and Bendtsen, {Jan Dimon} and John-Josef Leth and Gravdahl, {Jan Tommy}",
note = " Proceedings of the 19th IFAC World Congress, 2014.; 19th World Congress of the International Federation of Automatic Control, IFAC 2014 ; Conference date: 24-08-2014 Through 29-08-2014",
year = "2014",
doi = "10.3182/20140824-6-ZA-1003.01278",
language = "English",
isbn = "978-3-902823-62-5",
volume = "19",
series = "I F A C Workshop Series",
publisher = "IFAC Publisher",
pages = "7019--7024",
booktitle = "Proceedings of the 19th IFAC World Congress, 2014",
edition = "1",
}