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Conferencia Santaló 2024 - Kinetic equations describing open systems
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Juan José López Velázquez
Universidad de Bonn, Alemania
Kinetic equations describing open systems
Abstract: In this talk I will describe several examples of kinetic equations for which the boundary
conditions imply the exchange of some quantity (mass, momentum or energy) with the
surroundings. A consequence of this is that the resulting solutions do not converge to an
equilibrium solution, although in some cases the solutions can converge to steady
states, but they can yield also periodic oscillations or in some cases solutions that can
be described as self-similar solutions in some regions of the space of parameters.
Specific examples of equations that will be described include the classical
Boltzmann equation, the Smoluchowski coagulation equation, the Becker-Döring
equation of the theory of nucleation and some of the kinetic equations
arising in the so-called Wave Turbulence theory.
Universidad de Bonn, Alemania
Kinetic equations describing open systems
Abstract: In this talk I will describe several examples of kinetic equations for which the boundary
conditions imply the exchange of some quantity (mass, momentum or energy) with the
surroundings. A consequence of this is that the resulting solutions do not converge to an
equilibrium solution, although in some cases the solutions can converge to steady
states, but they can yield also periodic oscillations or in some cases solutions that can
be described as self-similar solutions in some regions of the space of parameters.
Specific examples of equations that will be described include the classical
Boltzmann equation, the Smoluchowski coagulation equation, the Becker-Döring
equation of the theory of nucleation and some of the kinetic equations
arising in the so-called Wave Turbulence theory.