Results 11 to 20 of about 44,698 (202)

Mechanical Systems: Symmetry and Reduction [PDF]

, 2008
Reduction theory is concerned with mechanical systems with symmetries. It constructs a lower dimensional reduced space in which associated conservation laws are taken out and symmetries are \factored out" and studies the relation between the dynamics ...
A. LOMAX, A. ZOLLO, C. MARTINO, C. SATRIANO, E.WEBER, G. IANNACCONE, I. IERVOLINO, L. ELIA, M. LANCIERI, P. GASPARINI, V. CONVERTITO   +10 more
core   +2 more sources

Edge states control droplet break-up in sub-critical extensional flows [PDF]

, 2018
A fluid droplet suspended in an extensional flow of moderate intensity may break into pieces, depending on the amplitude of the initial droplet deformation. In subcritical uniaxial extensional flow the non-breaking base state is linearly stable, implying
Gallaire, François, Gallino, Giacomo, Schneider, Tobias M.   +2 more
core   +2 more sources

The inertial dynamics of thin film flow of non-Newtonian fluids [PDF]

, 2007
Consider the flow of a thin layer of non-Newtonian fluid over a solid surface. I model the case of a viscosity that depends nonlinearly on the shear-rate; power law fluids are an important example, but the analysis here is for general nonlinear ...
A.J. Roberts, Betelu, Bird, Bird, Carr, Gratton, Harris, Kuznetsov, Payne, Perazzo, Roberts, Roberts, Roberts, Roberts, Roberts, Roberts, Roberts, Stickel, Wilchinsky, Özgökmen   +19 more
core   +6 more sources

Hydrodynamic Flows on Curved Surfaces: Spectral Numerical Methods for Radial Manifold Shapes

, 2018
We formulate hydrodynamic equations and spectrally accurate numerical methods for investigating the role of geometry in flows within two-dimensional fluid interfaces.
Atzberger, Paul J., Gross, Ben J.
core   +1 more source

Lagrangian analysis of fluid transport in empirical vortex ring flows [PDF]

, 2006
In this paper we apply dynamical systems analyses and computational tools to fluid transport in empirically measured vortex ring flows. Measurements of quasisteadily propagating vortex rings generated by a mechanical piston-cylinder apparatus reveal lobe
Dabiri, John O., Marsden, Jerrold E., Shadden, Shawn C.   +2 more
core   +1 more source

Geometric theory of flexible and expandable tubes conveying fluid: equations, solutions and shock waves

, 2018
We present a theory for the three-dimensional evolution of tubes with expandable walls conveying fluid. Our theory can accommodate arbitrary deformations of the tube, arbitrary elasticity of the walls, and both compressible and incompressible flows ...
Gay-Balmaz, François, Putkaradze, Vakhtang   +1 more
core   +1 more source

Data-Driven Stabilization of Unstable Periodic Orbits of the Three-Body Problem

IEEE Access
Many different models of the physical world exhibit chaotic dynamics, from fluid flows and chemical reactions to celestial mechanics. The study of the three-body problem (3BP) and its many different families of unstable periodic orbits (UPOs) has ...
Owen M. Brook, Jason J. Bramburger, Davide Amato, Urban Fasel   +3 more
doaj   +1 more source

Hamiltonian structure of thermodynamics with gauge

, 2000
The state of a thermodynamic system being characterized by its set of extensive variables $q^{i}(i=1,...,n) ,$ we write the associated intensive variables $\gamma_{i},$ the partial derivatives of the entropy $ S(q^{1},...,q^{n}) \equiv q_{0},$ in the ...
F- Gif, Orme Des Merisiers, Patrick Valentin, Roger Balian, Yvette Cedex   +4 more
core   +5 more sources

Computational Method for Phase Space Transport with Applications to Lobe Dynamics and Rate of Escape

, 2017
Lobe dynamics and escape from a potential well are general frameworks introduced to study phase space transport in chaotic dynamical systems. While the former approach studies how regions of phase space are transported by reducing the flow to a two ...
A.M. Mancho, B. Maelfeyt, B. Sandstede, C. C. Martens, C. Jaffé, C. Jaffé, D. Babyuk, D. Beigie, D. Beigie, D. G. Dritschel, E. E. Zotos, E. E. Zotos, F. A. McRobie, F. Lekien, Francois Lekien, H. Aref, H. Aref, J. Duan, J. O’Rourke, J.M.T. Thompson, K. A. Mitchell, K. A. Mitchell, K. A. Mitchell, M. Dellnitz, M. I. Shamos, M. Toda, M.A. Sepulveda, R. Barrio, R. E. Gillilan, R. S. Mackay, S. Balasuriya, S. Balasuriya, S. Balasuriya, S. Wiggins, S. Wiggins, Sh. D. Ross, Sh. Naik, Shane D. Ross, Shibabrat Naik, V. Rom-Kedar, V. Rom-Kedar, V. Rom-Kedar, W. S. Koon, W. S. Koon, W. S. Koon   +44 more
core   +1 more source

Subtype‐specific enhancer RNAs define transcriptional regulators and prognosis in breast cancers

Molecular Oncology, EarlyView.
This study employed machine learning methodologies to perform the subtype‐specific classification of RNA‐seq data sets, which are mapped on enhancers from TCGA‐derived breast cancer patients. Their integration with gene expression (referred to as ProxCReAM eRNAs) and chromatin accessibility profiles has the potential to identify lineage‐specific and ...
Aamena Y. Patel, Peyman Zarrineh, Nathnael T. Tuffa, Jigar H. Sheth, Sumitra Mohan, Mudassar Iqbal, Sankari Nagarajan   +6 more
wiley   +1 more source