Oblique interface-wave diffraction by a small bottom deformation in two superposed fluids.
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Displaying 1 – 20 of 23
On a model system for the oblique interaction of internal gravity waves
Jean-Claude Saut, Nikolay Tzvetkov (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
On a model system for the oblique interaction of internal gravity waves
Jean-Claude Saut, Nikolay Tzvetkov (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
We give local and global well-posedness results for a system of two Kadomtsev-Petviashvili (KP) equations derived by R. Grimshaw and Y. Zhu to model the oblique interaction of weakly nonlinear, two dimensional, long internal waves in shallow fluids. We also prove a smoothing effect for the amplitudes of the interacting waves. We use the Fourier transform restriction norms introduced by J. Bourgain and the Strichartz estimates for the linear KP group. Finally we extend the result of [3] for lower...
On a non-homogeneous shallow-water problem
François-Joseph Chatelon, Pierre Orenga (1997)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
On a nonlinear convolution equation occurring in the theory of water percolation
W. Okrasiński (1980)
Annales Polonici Mathematici
On a problem of shallow water type.
El Alaoui Talibi, Mohamed, Tber, Moulay Hicham (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
On a singular integral equation with log kernel and its application.
Banerjea, Sudeshna, Sarkar, Chiranjib (2006)
International Journal of Mathematics and Mathematical Sciences
On Composite Mesh Difference Methods for Hyperbolic Differential Equations.
G. Starius (1980)
Numerische Mathematik
On generation and propagation of tsunamis in a shallow running ocean.
Debnath, Lokenath, Basu, Uma (1978)
International Journal of Mathematics and Mathematical Sciences
On oblique waves forcing by a porous cylindrical wall.
Faltas, M.S. (1996)
International Journal of Mathematics and Mathematical Sciences
On permanent capillar-heavy waves of two liquids flowing one upon the other
Nabil Moussa (1988)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
On singularities of capillary surfaces in the absence of gravity.
Roytburd, V. (1983)
International Journal of Mathematics and Mathematical Sciences
On some Boussinesq systems in two space dimensions: theory and numerical analysis
Vassilios A. Dougalis, Dimitrios E. Mitsotakis, Jean-Claude Saut (2007)
ESAIM: Mathematical Modelling and Numerical Analysis
A three-parameter family of Boussinesq type systems in two space dimensions is considered. These systems approximate the three-dimensional Euler equations, and consist of three nonlinear dispersive wave equations that describe two-way propagation of long surface waves of small amplitude in ideal fluids over a horizontal bottom. For a subset of these systems it is proved that their Cauchy problem is locally well-posed in suitable Sobolev classes. Further, a class of these systems is discretized...
On Strongly Interacting Internal Solitary Waves.
J.M. Ash, J. Cohen, G. Wang (1995)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
On the complete integrability of an equation having solitons but not known to have a lax pair.
Roychowdhury, A., Mahato, G. (1986)
International Journal of Mathematics and Mathematical Sciences
On the computation of roll waves
Shi Jin, Yong Jung Kim (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
The phenomenon of roll waves occurs in a uniform open-channel flow down an incline, when the Froude number is above two. The goal of this paper is to analyze the behavior of numerical approximations to a model roll wave equation which arises as a weakly nonlinear approximation of the shallow water equations. The main difficulty associated with the numerical approximation of this problem is its linear instability. Numerical round-off error can easily overtake the numerical solution and yields false...
On the Computation of Roll Waves
Shi Jin, Yong Jung Kim (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
The phenomenon of roll waves occurs in a uniform open-channel flow down an incline, when the Froude number is above two. The goal of this paper is to analyze the behavior of numerical approximations to a model roll wave equation ut + uux = u,u(x,0) = u0(x), which arises as a weakly nonlinear approximation of the shallow water equations. The main difficulty associated with the numerical approximation of this problem is its linear instability. Numerical round-off error can easily overtake the...
On the convective nature of roll waves instability.
Di Cristo, C., Vacca, A. (2005)
Journal of Applied Mathematics
On the derivation of the nonlinear discrete equations numerically integrating the Euler PDEs.
Koumboulis, F.N., Skarpetis, M.G., Mertzios, B.G. (1998)
Discrete Dynamics in Nature and Society
On the instability of solitary-wave solutions for fifth-order water wave models.
Angulo Pava, Jaime (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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