Abstract: This paper proves the existence of small-amplitude global-in-time unique mild solutions to both the Landau equation including the Coulomb potential and the Boltzmann equation without angular ...

Kinetic theory provides a vital framework for bridging the microscopic motion of individual particles and the macroscopic properties observed in gases and fluids. Central to this field is the ...

Science popularization has its legends and heroes, just like any other field, though I’ve heard no plans as yet to open a Hall of Fame. Should that day come, one of the first inductees would ...

We solve the nonlinear Poisson–Boltzmann (P–B) equation of statistical thermodynamics for the external electrostatic potential of a uniformly charged flat plate immersed in an unbounded strong aqueous ...

We present two Lyapunov functionals measuring future interactions between particles with different velocities, and L1-distance between two classical solutions for the Enskog-Boltzmann equation, when ...