On the existence of a global attractor for the Brinkman–Forchheimer equations

By Davut Uğurlu. 2008

58 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8086ce487ff95502b07b8522a90fffe0a3dfe9a4

How researchers see this paper

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

In Control and Systems Engineering

1. Siyu Lin
2. Bixiang Wang
3. Edriss S. Titi
4. Kening Lu
5. Shengfan Zhou
6. Anhui Gu
7. Xiaohu Wang
8. Peter W. Bates

In Mathematical Physics

1. Siyu Lin
2. Bixiang Wang
3. Edriss S. Titi
4. Peter A. Markowich
5. Michael Winkler
6. Jinkai Li
7. Vlad Vicol

Citations in the corpus

• Continuous data assimilation for the three-dimensional Brinkman–Forchheimer-extended Darcy model (2015, background): “The long time behavior of solutions and the existence of global attractor to (1) has been studied in [22, 28, 31, 32] for very restrictive values and ranges of parameters α and β.”
• Existence of global attractors for the three‐dimensional Brinkman–Forchheimer equation (2008, methodology): “and um(0)= Pmu0 (9) Note that (8) is equivalent to the following equation: dum dt + Aum+ um = PmB(um)+Pmg (10)”