On reflection of shock front in multidimensional space
On the instability of solitary-wave solutions for fifth-order water wave models.
On the well-balance property of Roe’s method for nonconservative hyperbolic systems. Applications to shallow-water systems
This paper is concerned with the numerical approximations of Cauchy problems for one-dimensional nonconservative hyperbolic systems. The first goal is to introduce a general concept of well-balancing for numerical schemes solving this kind of systems. Once this concept stated, we investigate the well-balance properties of numerical schemes based on the generalized Roe linearizations introduced by [Toumi, J. Comp. Phys. 102 (1992) 360–373]. Next, this general theory is applied to obtain well-balanced...
On the well-balance property of Roe's method for nonconservative hyperbolic systems. applications to shallow-water systems
This paper is concerned with the numerical approximations of Cauchy problems for one-dimensional nonconservative hyperbolic systems. The first goal is to introduce a general concept of well-balancing for numerical schemes solving this kind of systems. Once this concept stated, we investigate the well-balance properties of numerical schemes based on the generalized Roe linearizations introduced by [Toumi, J. Comp. Phys.102 (1992) 360–373]. Next, this general theory is applied to obtain well-balanced...
One-dimensional model for surface gravitational waves in a mountain reservoir.
Reflection on internal waves by sand ripples.
The Cauchy-Poisson waves in an inviscid rotating stratified liquid.
Transient development of gravity waves for two layered fluids.
Waves due to initial disturbances at the inertial surface in a stratified fluid of finite depth.
Сосредоточенные решения для уравнений внутренних волн