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We report measurements of global dissipated power within a turbulent flow homogeneously forced at small scale by a new forcing technique. The forcing is random in both time and space within the fluid by using magnetic particles in an…

Fluid Dynamics · Physics 2017-10-31 Eric Falcon , Jean-Claude Bacri , Claude Laroche

Internal dissipation in a tidally perturbed librating body differs from the tidal dissipation in a steadily spinning rotator. First, libration changes the spectral distribution of tidal damping across the tidal modes, as compared to the…

Earth and Planetary Astrophysics · Physics 2018-04-10 Michael Efroimsky

Planetary systems evolve over secular time scales. One of the key mechanisms that drive this evolution is tidal dissipation. Submitted to tides, stellar and planetary fluid layers do not behave like rocky ones. Indeed, they are the place of…

Earth and Planetary Astrophysics · Physics 2015-10-05 Pierre Auclair-Desrotour , Stéphane Mathis , Christophe Le Poncin-Lafitte

The manuscript reports the observation of time dependent localized and non-propagating structures in the coupled laser plasma system through 1-D fluid and PIC simulations. It is reported that such structures form spontaneously as a result…

Plasma Physics · Physics 2018-01-17 Deepa Verma , Ratan Kumar Bera , Atul Kumar , Bhavesh Patel , Amita Das

We consider a second order linear equation with a time-dependent coefficient c(t) in front of the "elastic" operator. For these equations it is well-known that a higher space-regularity of initial data compensates a lower time-regularity of…

Analysis of PDEs · Mathematics 2014-08-18 Marina Ghisi , Massimo Gobbino

We study the fluctuation-induced, time-dependent force between two plates immersed in a fluid driven out of equilibrium mechanically by harmonic vibrations of one of the plates. Considering a simple Langevin dynamics for the fluid, we…

Statistical Mechanics · Physics 2009-12-22 Andreas Hanke

It is shown that the effective inertial mass density of a dissipative fluid just after leaving the equilibrium, on a time scale of the order of relaxation time, reduces by a factor which depends on dissipative variables. Prospective…

General Relativity and Quantum Cosmology · Physics 2008-11-26 L. Herrera

We investigate the causality and stability of relativistic dissipative fluid dynamics in the absence of conserved charges. We perform a linear stability analysis in the rest frame of the fluid and find that the equations of relativistic…

High Energy Physics - Phenomenology · Physics 2014-11-20 Shi Pu , Tomoi Koide , Dirk H. Rischke

While the seismic quality factor and phase lag are defined solely by the bulk properties of the mantle, their tidal counterparts are determined both by the bulk properties and self-gravitation of a body as a whole. For a qualitative…

Earth and Planetary Astrophysics · Physics 2012-12-03 Michael Efroimsky

Earth-like planets have viscoelastic mantles, whereas giant planets may have viscoelastic cores. The tidal dissipation of such solid regions, gravitationally perturbed by a companion body, highly depends on their rheology and on the tidal…

Earth and Planetary Astrophysics · Physics 2015-06-04 F. Remus , S. Mathis , J. -P. Zahn , V. Lainey

We are concerned with the dynamical behavior of solutions to semilinear wave systems with time-varying damping and nonconvex force potential. Our result shows that the dynamical behavior of solution is asymptotically stable without any…

Analysis of PDEs · Mathematics 2025-06-17 Zhe Jiao , Yong Xu , Lijing Zhao

We obtain self-similar solutions that describe the dynamics of a self-gravitating, rotating, viscous system. We use simplifying assumptions; but explicitly include viscosity and the cooling due to the dissipation of energy. By assuming that…

Astrophysics · Physics 2009-11-07 Mohsen Shadmehri , Jamshid Ghanbari

Materials with properties that are modulated in time are known to display wave phenomena showing energy increasing with time, with the rate mediated by the modulation. Until now there has been no accounting for material dissipation, which…

Applied Physics · Physics 2018-01-31 Daniel Torrent , William J. Parnell , Andrew N. Norris

Expansions in the oscillation modes of tidally perturbed bodies provide a useful framework for representing tidally induced flows. However, recent work has demonstrated that such expansions produce inaccurate predictions for secular orbital…

Solar and Stellar Astrophysics · Physics 2023-10-16 Janosz W. Dewberry , Samantha C. Wu

We consider a degenerate abstract wave equation with a time-dependent propagation speed. We investigate the influence of a strong dissipation, namely a friction term that depends on a power of the elastic operator. We discover a threshold…

Analysis of PDEs · Mathematics 2017-10-11 Marina Ghisi , Massimo Gobbino

The presence of active forces in various biological and artificial systems may change how those systems behaves under forcing. We present a minimal model of a suspension of passive or active swimmers driven on the boundaries by…

Soft Condensed Matter · Physics 2019-06-05 Michael Wang , Alexander Y. Grosberg

We consider several rigid bodies immersed in a viscous Newtonian fluid contained in a bounded domain in $R^3$. We introduce a new concept of dissipative weak solution of the problem based on a combination of the approach proposed by Judakov…

Analysis of PDEs · Mathematics 2026-05-29 Marco Bravin , Eduard Feireisl , Arnab Roy , Arghir Zarnescu

The orbits of short-period exoplanets are sculpted by tidal dissipation. However, the mechanisms and associated efficiencies of these tidal interactions are poorly constrained. We present robust constraints on the tidal quality factors of…

Earth and Planetary Astrophysics · Physics 2025-01-17 Sarah C. Millholland , Morgan MacLeod , Felicia Xiao

Tidal dissipation in planetary interiors is one of the key physical mechanisms that drive the evolution of star-planet and planet-moon systems. Tidal dissipation in planets is intrinsically related to their internal structure. In…

Earth and Planetary Astrophysics · Physics 2015-10-21 M. Guenel , S. Mathis , F. Remus

Tidally distorted rotating stars and gaseous planets are subject to a well-known linear fluid instability -- the elliptical instability. It has been proposed that this instability might drive enough energy dissipation to solve the…

Earth and Planetary Astrophysics · Physics 2015-06-17 Adrian J. Barker , Yoram Lithwick