Results 221 to 230 of about 18,440 (267)
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On the Strongly Damped Wave Equation
Communications in Mathematical Physics, 2004The author considers the strongly damped wave equation \[ \begin{gathered} u_{tt}- \omega\Delta u_t-\Delta u+\phi(u)= f(t),\;x\in\Omega,\;t> 0,\;u(x,0)= u_0(x),\\ u_t(x,0)= u_1(x),\;u(x,t)= 0\quad\text{for }x\in \partial\Omega.\end{gathered}\tag{2} \] Here \(\Omega\subseteq \mathbb{R}^3\) is a smooth, bounded domain, and \(\omega> 0\).
PATA, VITTORINO, M. Squassina
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Damping of the swirling wave mode
Neliniini KolyvannyaWe generalize recent results of the authors [A. Miliaev and A. Timokha, Viscous damping of steady-state resonant sloshing in a clean rectangular tank, J. Fluid Mech., 965, № R1, 1 – 11 (2023); DOI: doi.org/10.1017/jfm.2023.372] on machine learning of multidimensional modal systems derived to describe nonlinear sloshing in rigid tanks exposed to ...
Anton Miliaiev, Alexander Timokha
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A Wave Equation with Fractional Damping
Zeitschrift für Analysis und ihre Anwendungen, 2003We consider a wave equation with an internal damping represented by a fractional derivative of lower order than one. An exponential growth result is proved in presence of a source of polynomial type. This result improves an earlier one where the initial data are supposed to be very large in some norm.
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The Physics of Fluids, 1970
The Korteweg-de Vries equation is modified to include energy dissipation. In the cases treated the dissipative term is the Fourier transform of the linear damping. The effect of a small amount of such dissipation on the time evolution of a solitary wave is obtained.
E. Ott, R. N. Sudan
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The Korteweg-de Vries equation is modified to include energy dissipation. In the cases treated the dissipative term is the Fourier transform of the linear damping. The effect of a small amount of such dissipation on the time evolution of a solitary wave is obtained.
E. Ott, R. N. Sudan
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Nature, 1989
IT is common knowledge among seafarers that rain "knocks down the sea"1,2 or that surface-wave breaking is suppressed by heavy rain. Although no quantitative data exist, several mechanisms have been proposed that might account for the attenuation of waves by rain.
M. Tsimplis, S. A. Thorpe
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IT is common knowledge among seafarers that rain "knocks down the sea"1,2 or that surface-wave breaking is suppressed by heavy rain. Although no quantitative data exist, several mechanisms have been proposed that might account for the attenuation of waves by rain.
M. Tsimplis, S. A. Thorpe
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Journal of Hydraulic Research, 1978
The bottom mean resistance coefficient for the flow of solitary waves is derived from considerations of energy dissipation, and is obtained from measurements of the attenuation of wave amplitude al...
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The bottom mean resistance coefficient for the flow of solitary waves is derived from considerations of energy dissipation, and is obtained from measurements of the attenuation of wave amplitude al...
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Journal of Applied Mechanics and Technical Physics, 1965
The mechanism of formation of a plateau of the electron velocity distribution function in monochromatic. plasma wave damping is discussed. It is shown that the distribution function is subject to strong modulation in a neighborhood of the phase velocity of the wave and that the steady state is established as a result of collisions.
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The mechanism of formation of a plateau of the electron velocity distribution function in monochromatic. plasma wave damping is discussed. It is shown that the distribution function is subject to strong modulation in a neighborhood of the phase velocity of the wave and that the steady state is established as a result of collisions.
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2013
A review is made of the calculation (and comparison with experiments) of the damping of surface waves, with special emphasis in some recent results and their quantitative and qualitative consequences on the surface waves dynamics. A method is proposed to experimentally measure the main surfactant properties associated with surface wave damping using ...
M. A. Herrada +2 more
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A review is made of the calculation (and comparison with experiments) of the damping of surface waves, with special emphasis in some recent results and their quantitative and qualitative consequences on the surface waves dynamics. A method is proposed to experimentally measure the main surfactant properties associated with surface wave damping using ...
M. A. Herrada +2 more
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Journal of Geophysical Research, 1974
Attenuation in the core is examined by using spectral ratios of seismic core waves. In the outer core a Qα of 5000–10,000 is obtained from the amplitude radio P7KP/P4KP. From the PKIKP/PKP amplitude ratio, Qα in the inner core has a value between 120 and 400.
Anthony Qamar, Alfredo Eisenberg
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Attenuation in the core is examined by using spectral ratios of seismic core waves. In the outer core a Qα of 5000–10,000 is obtained from the amplitude radio P7KP/P4KP. From the PKIKP/PKP amplitude ratio, Qα in the inner core has a value between 120 and 400.
Anthony Qamar, Alfredo Eisenberg
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The Physics of Fluids, 1979
The damping of a solitary wave due to weak dissipation is calculated for any process for which the damping of a monochromatic wave would be proportional to some power of the frequency. The result for bottom scattering by small inhomogeneities differs from that given by Ostrovsky.
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The damping of a solitary wave due to weak dissipation is calculated for any process for which the damping of a monochromatic wave would be proportional to some power of the frequency. The result for bottom scattering by small inhomogeneities differs from that given by Ostrovsky.
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