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The Regularity of Solutions of Nonlinear Wave Equations
SIAM Journal on Mathematical Analysis, 1989The equation studied is \(u_{tt}+(-\Delta)^ mu+au+f(u)=g\) where the nonlinear term depends on u and its derivatives and satisfies various conditions.
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On the Regularity Properties of the Wave Equation
1994The research we want to report about has been motivated by the study of the regularity properties of solutions to the equations of “wave maps3 ” defined from the Minkowski space-time M n+1 to a Riemannian manifold N. Our interest in these equations is due to the fact that they are the simplest system of wave equations, derived from a relativistic ...
S. Klainerman, M. Machedon
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On the regular wave kinematics
1998The present paper investigates some models able to fit a regular wave field, acting a distinction among theoretical methods, derived from Stokes theory, and engineering approximations. The validity of the different methods was tested by using experimental results.
Damiani, Leonardo +2 more
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Regular wave conditions in a directional wave basin
2010This thesis represents a small step toward improved generation of realistic sea states in laboratory wave basins. Experiments were conducted in an offshore directional wave basin equipped with a segmented wave generator. Regular waves were generated for several periods and propagation directions, and the resulting wave elevations were measured ...
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Wave Load Acting on Advanced Spar in Regular Waves
Volume 6: Ocean Space Utilization, 2018Offshore wind turbines have been investigated and developed as one of the renewable energies. In Japan, the research and development of floating type offshore wind turbines have been carried out because the water around the country is too deep to settle the bottom mounted type. In this paper, we investigate the effects of the diameter of
Takayuki Hirai +2 more
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Wave runup on a surging vertical cylinder in regular waves
Applied Ocean Research, 2017Abstract The wave runup caused by a vertical cylinder surging in regular waves is studied both experimentally and numerically. The so-called DualSPHysics Smoothed Particle Hydrodynamics (SPH) code is used for the 3-D numerical modelling. A wide range of cylinder sizes and wave conditions is investigated with results comparing favourably between the ...
Wei Jian +7 more
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Measurement of Regular Wave Reflection
Journal of Waterway, Port, Coastal, and Ocean Engineering, 1991The present paper describes the measurement of regular wave reflection. Three methods involving the use of two and three fixed probes are described and developed so as to provide explicit solutions for the incident wave height, reflection coefficient, and the phase of the reflected wave train.
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On regular reflection of detonation waves
Fluid Dynamics, 1983The boundaries of regular reflection of detonation waves by a rigid wall are calculated. It is assumed that detonation is initiated at the point of reflection when a shock wave is incident on the wall at a finite angle in a gas fuel mixture, the detonation propagating instantaneously along the reflected front.
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Stochastic Waves on Regular Lattices
2014In order to study the phenomenon of noise-induced bistability we have expanded the master equation with respect to the cell volume, and obtained an approximated stochastic differential equation which was more amenable to analytical manipulations. As already remarked, the technique we have used made it possible to capture the multiplicative nature of ...
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Global regularity for water waves
2016We will begin by introducing the water waves equations which are a system of evolution equations modeling the motion of waves (like those in the surface of the ocean), and discuss some of the works done in recent years on the question of long-time regularity.
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