Seminar talk, 9 February 2011: Difference between revisions
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{{Talk | {{Talk | ||
| speaker = Maxim Pavlov | | speaker = Maxim Pavlov | ||
| title = Relationships between <math>2+1</math> dimensional quasilinear equations of the first order, kinetic equations and hydrodynamic chains | | title = Relationships between <math>2+1</math> dimensional quasilinear equations of the first order, kinetic equations, and hydrodynamic chains | ||
| abstract = We consider three kinetic equations of the Vlasov type (collisionless Boltzmann equations). We present a canonical way to construct corresponding hydrodynamic chains. These kinetic equations are nothing but coverings for associated 2+1 quasilinear equations of the first order, which can be obtained directly from aforementioned hydrodynamic chains. | | abstract = We consider three kinetic equations of the Vlasov type (collisionless Boltzmann equations). We present a canonical way to construct corresponding hydrodynamic chains. These kinetic equations are nothing but coverings for associated 2+1 quasilinear equations of the first order, which can be obtained directly from aforementioned hydrodynamic chains. | ||
Revision as of 12:34, 10 December 2010
Speaker: Maxim Pavlov
Title: Relationships between dimensional quasilinear equations of the first order, kinetic equations, and hydrodynamic chains
Abstract:
We consider three kinetic equations of the Vlasov type (collisionless Boltzmann equations). We present a canonical way to construct corresponding hydrodynamic chains. These kinetic equations are nothing but coverings for associated 2+1 quasilinear equations of the first order, which can be obtained directly from aforementioned hydrodynamic chains.
Target of the talk is to discuss a generalization of these results on more complicated dispersive and nonlocal integrable systems.