“The paper formulates the covariant hydrodynamics equations as an intersection problem on an infinite dimensional symplectic manifold associated with spacetime.”

“The gradient expansion includes an unexpected zeroth order term depending on the differences between thermo-hydrodynamic fields at the decoupling and the initial hypersurface. This term encodes a memory of the initial state...”

“Holographic descriptions allow access to the full non-equilibrium dynamics at strong coupling.”

“The paper demonstrates a continuum of collisions between hydrodynamic modes at complex wavevector for dispersion relations with a branch point at the origin.”

“A small fraction of stalled particles in the system allows for the formation of dynamical clusters at significantly lower densities than predicted by standard MIPS.”

“For certain combinations of charge and size, the interplay between hydrodynamic and electrostatic forces creates strong radially inward particle relative velocities that substantially alter particle pair dynamics and modify the conditions required for contact.”

“The paper finds that the disk lifetime decreases as the dimensionless parameter ψ (wind strength) increases due to enhanced wind-driven mass loss.”

“The paper outlines the influences in their mutual competition.”

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“The model couples a fluid field comprising both Newtonian and Oldroyd-B fluids, a surface concentration field representing the multicomponent distribution on the vesicle membrane, and a phase-field variable governing the membrane evolution.”

“Our results mathematically characterize the background magnetic field exerts the stabilizing effect, and bridge the gap left by previous work with respect to the asymptotic behavior in time.”

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“The VIE approach is a valuable methodological scaffold: It addresses SC-HDM and simpler models, but can also be adapted to more advanced ones.”

“The whole-area electrode achieves the highest output, with a 155 percent increase in power compared to the baseline partial electrode.”

“The simulation self-consistently generates a twisted flux tube that emerges through the photosphere, interacts with the pre-existing magnetic field, and produces a blowout jet that matches the main characteristics of this type of jet found in observations.”

“The research focuses on the prediction of steady-state electrohydrodynamic flow.”

“The article is sourced from ArXiv.”

“Formulation of Relativistic Dissipative Spin Hydrodynamics”

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“The research focuses on the 'programmable hydrodynamics of active particles'.”

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“The study focuses on flux rope formation through flux cancellation of sheared coronal arcades in a 3D convectively-driven MHD simulation.”

“The article's abstract or introduction would contain the most relevant quote, but without access to the full text, a specific quote cannot be provided. The core concept revolves around energy conservation and the nonconservative Lorentz force.”

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“The title itself is the primary quote, indicating the core subject of the research.”

“The article's context provides no key fact as it only states that the source is ArXiv, providing no actual content.”

“The study focuses on the ultimate large-$Rm$ regime.”