Minimal entropy conditions for Burgers equation

By Camillo De Lellis, Felix Otto, Michael Westdickenberg. 2004

86 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/f736ac9d90133b36e9a4315896a2d5529770676f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Giuseppe Maria Coclite
2. Kenneth Hvistendahl Karlsen
3. Alexander Keimer
4. Lukas Pflug
5. Bojan Popov
6. Jean-Michel Coron
7. Richard Pasquetti
8. Jean-Luc Guermond

In Control and Systems Engineering

1. Alexander Keimer
2. Lukas Pflug
3. Jean-Michel Coron
4. Kenneth Hvistendahl Karlsen
5. Giuseppe Maria Coclite
6. Eduardo Cerpa
7. Miroslav Krstic
8. Rafael Vazquez

In Modeling and Simulation

1. Kenneth Hvistendahl Karlsen
2. Alexander Keimer
3. Lukas Pflug
4. Espen Robstad Jakobsen

Citations in the corpus

• A general result on the approximation of local conservation laws by nonlocal conservation laws: The singular limit problem for exponential kernels (2020, background): “Therein, by taking advantage of the minimal entropy condition in [27, 49], it is shown that a solution qη of the nonlocal conservation law in Definition 2.”
• Entropy viscosity method for nonlinear conservation laws (2011, background): “, if f is convex) in one space dimension it is known that one entropy pair, for example the one generated by EðuÞ 1⁄4 (1)2 u2, is enough to select the unique entropy solution, see for example [6,25].”
• A Singular Limit Problem for Conservation Laws Related to the Camassa–Holm Shallow Water Equation (2006, background): “De Lellis, C., Otto, F., Westdickenberg, M. (2004).”