نتایج جستجو برای: dimensional dispersive long wave equation

تعداد نتایج: 1531795  

2013
Marco Cannone Changxing Miao Liutang Xue

We consider the 2-dimensional quasi-geostrophic equation with supercritical dissipation and dispersive forcing in the whole space. When the dispersive amplitude parameter is large enough, we prove the global well-posedness of strong solution to the equation with large initial data. We also show the strong convergence result as the amplitude parameter goes to ∞. Both results rely on the Strichar...

2005
Md.A. Zahid Murthy N. Guddati

Continued fraction absorbing boundary conditions (CFABCs) are new arbitrarily high-order local absorbing boundary conditions that are highly effective in simulating wave propagation in unbounded domains. The current versions of CFABCs are developed for the non-dispersive acoustic wave equation with convex polygonal computational domains. In this paper, the CFABCs are modified through augmentati...

Journal: :Physical review letters 2008
M A Hoefer M J Ablowitz P Engels

The piston shock problem is a classical result of shock wave theory. In this work, the analogous dispersive shock wave (DSW) problem for a fluid described by the nonlinear Schrödinger equation is analyzed. Asymptotic solutions are calculated for a piston (step potential) moving with uniform speed into a dispersive fluid at rest. In contrast to the classical case, there is a bifurcation of shock...

Journal: :Nonlinear Analysis and Differential Equations 2013

Homayoun Oraizi Narges Nouri

With the rapid growth of indoor wireless communication systems, the need to accurately model radio wave propagation inside the building environments has increased. Many site-specific methods have been proposed for modeling indoor radio channels. Among these methods, the ray tracing algorithm and the finite-difference time domain (FDTD) method are the most popular ones. The ray tracing approach ...

Journal: :Annales de la faculté des sciences de Toulouse Mathématiques 2003

Cross-shore sediment transport is one of the effective factors in erosion and sedimentation, and affects dynamics of the beach profile in coastal areas. Furthermore, sandbar migration due to cross-shore sediment transport mostly effects beach nourishment, displacement of pollutions trapped in sediments, and organism and plants’ lives.  In this manuscript, sandbar migration due to cro...

Journal: :J. Computational Applied Mathematics 2011
David Cohen Xavier Raynaud

Geometric integrators are presented for a class of nonlinear dispersive equations which includes the Camassa-Holm equation, the BBM equation and the hyperelasticrod wave equation. One group of schemes is designed to preserve a global property of the equations: the conservation of energy; while the other one preserves a more local feature of the equations: the multi-symplecticity.

1998
H T Banks M W Buksas

We investigate time domain based electromagnetic inverse problems. This is done in the context of general polarization models (which include the familiar Debye and Lorentz models as special cases) for dielectric materials. A one-dimensional model based on time-windowed pulsed inputs is formulated and well-posedness results are given for the simulation problem. Numerical investigations of proble...

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