# Thread: Mathematicians Solve 140-year-old Boltzmann Equation

1. Mathematicians Solve 140-year-old Boltzmann Equation

Mathematicians have found solutions to a 140-year-old, seven-dimensional equation that were not known to exist for more than a century, despite its widespread use in modeling the behavior of gases. During the late 1860s and 1870s, physicists James Clerk Maxwell and Ludwig Boltzmann developed this equation to predict how gaseous material distributes itself in space and how it responds to changes in things like temperature, pressure or velocity. Solutions of the equation, beyond current computational capabilities, describe the location of gas molecules probabilistically and predict the likelihood that a molecule will reside at any particular location and have a particular momentum at any given time in the future.

2.

3. Originally Posted by Harold14370
Mathematicians Solve 140-year-old Boltzmann Equation

Mathematicians have found solutions to a 140-year-old, seven-dimensional equation that were not known to exist for more than a century, despite its widespread use in modeling the behavior of gases. During the late 1860s and 1870s, physicists James Clerk Maxwell and Ludwig Boltzmann developed this equation to predict how gaseous material distributes itself in space and how it responds to changes in things like temperature, pressure or velocity. Solutions of the equation, beyond current computational capabilities, describe the location of gas molecules probabilistically and predict the likelihood that a molecule will reside at any particular location and have a particular momentum at any given time in the future.
Interesting

http://arxiv.org/PS_cache/arxiv/pdf/...912.0888v1.pdf

http://arxiv.org/PS_cache/arxiv/pdf/...002.3639v1.pdf

 Bookmarks
##### Bookmarks
 Posting Permissions
 You may not post new threads You may not post replies You may not post attachments You may not edit your posts   BB code is On Smilies are On [IMG] code is On [VIDEO] code is On HTML code is Off Trackbacks are Off Pingbacks are Off Refbacks are On Terms of Use Agreement