5 papers
Global existence and uniqueness for the planar four-velocity Broadwell model with arbitrary bounded initial and boundary data in a rectangular domain
Koudzo Togbévi Selom Sobah, Amah Séna D'Almeida
This paper establishes the global existence of classical solutions to the initial-boundary value problem for the planar four-velocity Broadwell model in a multidimensional setting.…
Global classical solutions for the general planar Broadwell model with arbitrary velocity orientation: a fixed-point framework
Koudzo Togbévi Selom Sobah, Amah Séna d'Almeida
The present work extends a fixed-point framework previously developed for the standard planar four-velocity Broadwell model to the general four-velocity configuration with an arbit…
Global-in-time existence and uniqueness of classical solutions to the unsteady initial-boundary value problem for the four-velocity planar Broadwell model in a rectangular domain
Koudzo Togbévi Selom Sobah, Amah Séna D'Almeida
Since the pioneering work of James E. Broadwell, discrete velocity models (DVMs) have played a fundamental role in approximating the Boltzmann equation and in the analysis of non-e…
Existence and uniqueness of classical solution to an initial-boundary value problem for the unsteady general planar Broadwell model with four velocities
Koudzo Togbévi Selom Sobah, Amah Séna d'Almeida
We consider the unsteady problem for the general planar Broadwell model with four velocities in a rectangular spatial domain over a finite time interval. We impose a class of non-n…
On the existence and uniqueness of classical solution for an initial-boundary value problem for a discrete Boltzmann system in two space dimensions
Koudzo Togbévi Selom Sobah, Amah Séna d'Almeida
The initial-boundary value problem for the two-dimensional regular four-velocity discrete Boltzmann system is analyzed in a rectangle. The existence and uniqueness of a classical g…