Seminar talk, 22 February 2012: Difference between revisions
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| 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. The distinction from the approach developed by John Gibbons, Sergey Tsarev and | | 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 Evgeny 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 = [[Media:Chesnokov A., Pavlov M. Reductions of kinetic equations to finite component systems (presentation, 2012).pdf]] | | slides = [[Media:Chesnokov_A.,_Pavlov_M._Reductions_of_kinetic_equations_to_finite_component_systems_(presentation,_2012).pdf|Chesnokov A., Pavlov M. Reductions of kinetic equations to finite component systems (presentation, 2012).pdf]] | ||
| references = | | references = | ||
| 79YY-MM-DD = 7987-97-77 | | 79YY-MM-DD = 7987-97-77 | ||
}} | }} | ||
Latest revision as of 22:59, 19 March 2025
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 Evgeny 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.
Slides: Chesnokov A., Pavlov M. Reductions of kinetic equations to finite component systems (presentation, 2012).pdf
