Seminar talk, 22 February 2012: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
No edit summary |
||
| Line 2: | Line 2: | ||
| speaker = Maxim Pavlov | | speaker = Maxim Pavlov | ||
| title = Reduction of kinetic equations to finite-dimensional systems | | title = Reduction of kinetic equations to finite-dimensional systems | ||
| abstract = We consider coverings over multidimensional quasi-linear systems of partial differential equations of first order as kinetic equations, for which an approach allowing to derive <math>N</math>-component reductions is known. | | abstract = We consider coverings over multidimensional quasi-linear systems of partial differential equations of first order as kinetic equations, for which an approach allowing to derive <math>N</math>-component reductions is known. The distinction from the approach developed by John Gibbons, Sergey Tsarev and Eugene Ferapontov and his coauthors in that only one <math>N</math>-component reduction is presented explicitly instead of a whole family parametrized by <math>N</math> function of one argument. That is, one of solutions of the Gibbons-Tsarev system is automatically presented parametrised by <math>N-1</math> constants. | ||
The distinction from the approach developed by John Gibbons, Sergey Tsarev and Eugene Ferapontov and his coauthors in that only one <math>N</math>-component reduction is presented explicitly instead of a whole family parametrized by <math>N</math> function of one argument. That is, one of solutions of the Gibbons-Tsarev system is automatically presented parametrised by <math>N-1</math> constants. | |||
| slides = | | slides = | ||
| references = | | references = | ||
| 79YY-MM-DD = 7987-97-77 | | 79YY-MM-DD = 7987-97-77 | ||
}} | }} | ||
Revision as of 17:35, 16 February 2012
Speaker: Maxim Pavlov
Title: Reduction of kinetic equations to finite-dimensional systems
Abstract:
We consider coverings over multidimensional quasi-linear systems of partial differential equations of first order as kinetic equations, for which an approach allowing to derive -component reductions is known. The distinction from the approach developed by John Gibbons, Sergey Tsarev and Eugene Ferapontov and his coauthors in that only one -component reduction is presented explicitly instead of a whole family parametrized by function of one argument. That is, one of solutions of the Gibbons-Tsarev system is automatically presented parametrised by constants.
