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One-Dimensional Shallow Water Equations Ill-Posedness
In 2071, the Hydraulic community will commemorate the second centenary of the Baré de Saint-Venant equations, also known as the Shallow Water Equations (SWE). These equations are fundamental to the study of open-channel flow.
Tew-Fik Mahdi
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The navigation of ships in complex shallow water areas is constrained by various factors such as water depth, channel boundaries, and environmental interference.
Ke Zhang +6 more
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HF Radar Sea-echo from Shallow Water
HF radar systems are widely and routinely used for the measurement of ocean surface currents and waves. Analysis methods presently in use are based on the assumption of infinite water depth, and may therefore be inadequate close to shore where the radar ...
Josh Kohut +3 more
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Shallow Water Flows in Channels
Journal of Scientific Computing, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gerardo Hernández-Dueñas, Smadar Karni
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Shallow water acoustic networks
IEEE Communications Magazine, 2001Underwater acoustic networks are generally formed by acoustically connected ocean bottom sensor nodes, autonomous underwater vehicles (AUVs), and surface stations that serve as gateways and provide radio communication links to on-shore stations. The quality of service of such networks is limited by the low bandwidth of acoustic transmission channels ...
John G. Proakis +3 more
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Interaction of Shallow Water Waves
Studies in Applied Mathematics, 2008In this paper, we consider the Riemann problem and interaction of elementary waves for a nonlinear hyperbolic system of conservation laws that arises in shallow water theory. This class of equations includes as a special case the equations of classical shallow water equations.
SEKHAR, TR, SHARMA, VD
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Studies in Applied Mathematics, 1998
In this article we study various systems that represent the shallow water wave equation vxxt+αvvt−βvx∂x‐1(vt) −vt−vx = 0,where (∂x−1f)(x)=∫x∞f(y) dy, and α and β are arbitrary, nonzero, constants. The classical method of Lie, the nonclassical method of Bluman and Cole [J. Math. Mech.
Clarkson, Peter A., Priestley, Thomas J.
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In this article we study various systems that represent the shallow water wave equation vxxt+αvvt−βvx∂x‐1(vt) −vt−vx = 0,where (∂x−1f)(x)=∫x∞f(y) dy, and α and β are arbitrary, nonzero, constants. The classical method of Lie, the nonclassical method of Bluman and Cole [J. Math. Mech.
Clarkson, Peter A., Priestley, Thomas J.
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A spreading drop of shallow water
Journal of Computational Physics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dorota Jarecka +2 more
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