6 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.…
Hybrid Variational Quantum Circuits for Multivariate Regression and High-Dimensional Data Reconstruction
Koffi Ognandon Ayena, Frédéric Holweck, Serge Iovleff +1
Variational quantum circuits (VQCs) are parameterized quantum circuits optimized classically. We propose a hybrid variational quantum circuit (HVQC) extending VQCs with a classical…
1D Convection-Diffusion in Porous Media: A Unified Solution from Bounded Domain to Half-Space
Koffi Ognandon Ayena, Frédéric Holweck, Amah Séna D'almeida
We present an analytical solution for 1D atmospheric pollutant dispersion in a bounded domain. Using coordinate transformation and spectral decomposition, we obtain a Fourier serie…
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…
Effective longitudinal wave through a random distribution of poroelastic spheres in a poroelastic matrix
Dossou Gnadjro, Amah Séna d'Almeida
A random distribution of poroelastic spheres in a poroelastic medium obeying Biot's theory is considered. The scattering coefficients of the fast and the slow waves are computed in…