What is the Bratu problem?

[hanson]

Hi all.
Can someone tell me what a bratu problem is?
I have just an equation on hand but I have no clue in what this equation is describing and how it is derived. Could anyone here refer me to some texts or websites about the bratu problem?

 

[HallsofIvy]

I had never heard of the "Bratu problem" but I goodled on it and immediately got these:
http://www.nada.kth.se/kurser/kth/2D1290/comp03_3.pdf
http://www.uz.ac.zw/science/maths/samsa/journal/volumes/2003/01/brtu.pdf

Is this the "Bratu" you mean:
http://bratu.oltenia.ro/

 

[mehrnazz]

hi
i am a math student and right now i am working on Bratu;s problem if u search Bratu;s problem in google and sciencedirect u can find a lot of articles about that. Bratu type equation is u''(x) + a*e^u(x)=0

 

[mehrnazz]

Bratu’s problem appears in combustion theory of fuel ignition. combustion
is rapid chemical reaction of two or more substances with a characteristic
liberation of heat and light. The burning of a fuel (e.g., wood, coal, oil, or
natural gas) in air is a familiar example of combustion. also bratu’s problem
has application in the Chandrasekhar model of the expansion of the universe
and nanotechnology.