Zobrazeno 1 - 10
of 154
pro vyhledávání: '"Mitsotakis, Dimitrios"'
Considered herein is a class of Boussinesq systems of Bona-Smith type that describe water waves in bounded two-dimensional domains with slip-wall boundary conditions and variable bottom topography. Such boundary conditions are necessary in situations
Externí odkaz:
http://arxiv.org/abs/2405.00422
The Serre-Green-Naghdi equations of water wave theory have been widely employed to study undular bores. In this study, we introduce a modified Serre-Green-Naghdi system incorporating the effect of an artificial term that results in dispersive and dis
Externí odkaz:
http://arxiv.org/abs/2401.12411
Autor:
Mitsotakis, Dimitrios
Considered herein is a modified Newton method for the numerical solution of nonlinear equations where the Jacobian is approximated using a complex-step derivative approximation. We show that this method converges for sufficiently small complex-step v
Externí odkaz:
http://arxiv.org/abs/2312.08395
Considered here are two systems of equations modeling the two-way propagation of long-crested, long-wavelength internal waves along the interface of a two-layer system of fluids in the Benjamin-Ono and the Intermediate Long-Wave regime, respectively.
Externí odkaz:
http://arxiv.org/abs/2307.16391
Autor:
Mitsotakis, Dimitrios
We consider a new splitting based on the Sherman-Morrison-Woodbury formula, which is particularly effective with iterative methods for the numerical solution of large linear systems. These systems involve matrices that are perturbations of circulant
Externí odkaz:
http://arxiv.org/abs/2305.10968
A generalized version of the $abcd$-Boussinesq class of systems is derived to accommodate variable bottom topography in two-dimensional space. This extension allows for the conservation of suitable energy functionals in some cases and enables the des
Externí odkaz:
http://arxiv.org/abs/2303.11556
The aim is to assess the combined effect of diffusion and dispersion on shocks in the moderate dispersion regime. For a diffusive dispersive approximation of the equations of one-dimensional elasticity (or p-system), we study convergence of traveling
Externí odkaz:
http://arxiv.org/abs/2301.00197
Considered here is a class of Boussinesq systems of Nwogu type. Such systems describe propagation of nonlinear and dispersive water waves of significant interest such as solitary and tsunami waves. The initial-boundary value problem on a finite inter
Externí odkaz:
http://arxiv.org/abs/2210.03279
We consider a dissipative, dispersive system of Boussinesq type, describing wave phenomena in settings where dissipation has an effect. Examples include undular bores in rivers or oceans where dissipation due to turbulence is important for their desc
Externí odkaz:
http://arxiv.org/abs/2209.10129
Publikováno v:
In Wave Motion January 2025 132
