Ask a Question

Prefer a chat interface with context about you and your work?

A recursive algorithm and a series expansion related to the homogeneous Boltzmann equation for hard potentials with angular cutoff

A recursive algorithm and a series expansion related to the homogeneous Boltzmann equation for hard potentials with angular cutoff

We consider the spatially homogeneous Boltzmann equation for hard potentials with angular cutoff. This equation has a unique conservative weak solution $ (f_t)_{t\geq 0} $, once the initial condition $ f_0 $ with finite mass and energy is fixed. Taking advantage of the energy conservation, we propose a recursive algorithm …