I own a MBA and the core shutdown issue is really effecting the way i use it. I believe that if you use your MBA long enough or hard enough you will experience this problem. Here is a the cool book solution...
http://plasmadesign.wordpress.com/2008/04/02/macbook-air-core-shutdown/
here is another article.
http://paulstamatiou.com/2008/05/11/putting-an-end-to-macbook-air-core-shutdown
in it i noticed this important paragraph.
"However, I have noticed that when using CoolBook the MacBook Air is allowed to get very hot (75+ deg C). Just keep an eye on your temps if you do anything extremely processor intensive. I use smcFanControl.
http://www.macupdate.com/info.php/id/23049
Rob Randtoul has the specifics for configuring CoolBook for the MacBook Air. It worked for me."
Good luck everyone.
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here are the COOL BOOK settings from the plasma design article in case something happens to it.
"Firstly, let’s describe the applications UI as abysmal. There is no getting away from it. Maybe it would make more sense to someone with experience in underclocking but the whole point in a GUI is to assist the uninitiated in achieving their goals without having to resort to technical manuals. Needless to say I had to resort to the manual which is thankfully quite good.
After tinkering with the various parameters and following the advice of others on the forum I settled on the following settings…
When power adaptor is plugged in…
600HMz = 0.9V
800MHz = 0.9V
1200MHz = 0.9V
1400Mhz = 0.9V
1600Mhz = 0.95V
When the MacBook is running on battery…
600MHz = 0.9V
800Mhz = 0.9V
1200Mhz = 0.9V
This lowers the voltage supplied to the CPU by 0.2V. Also of note is the removal of the 1400MHz and 1600MHz setting when running on batteries. This has had the following results…
Before Coolbook
Approx CPU temperature under light load 52C
Approx CPU temperature under heavy load 75C
Fan speed under light load 2500rpm
Fan speed under heavy load 6500rpm
Battery life under light load - 3.35
After Coolbook
Approx CPU temperature under light load 43C
Approx CPU temperature under heavy load 62C
Fan speed under light load 2500rpm
Fan speed under heavy load 4250rpm
Battery life under light load - 4.25
Since installing Coolbook, my MacBook Air has suffered no core shutdowns, it has run significantly cooler to the touch, it is quieter (as a result of the lower fan speeds) and it lasts almost an hour longer than usual when running on battery power. As of yet I have found no downsides and I have not experienced any instability. "