Results 11 to 20 of about 41,982 (205)

Geometric aspects of nonholonomic field theories [PDF]

, 2005
A geometric model for nonholonomic Lagrangian field theory is studied. The multisymplectic approach to such a theory as well as the corresponding Cauchy formalism are discussed.
Arnol'd, Binz, Binz, Bloch, Cantrijn, Cantrijn, Cariñena, Christodoulou, Cortés, Cortés, D. Martín de Diego, de León, de León, de León, de León, de León, de León, F. Cantrijn, Gotay, Gotay, J. Vankerschaver, J.M. de León, Kriegl, Krupkova, Lewis, Marle, Marsden, Marsden, Olver, Santamaría-Merino, Saunders, Terra   +31 more
core   +3 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   +5 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

Numerical manifold method modeling of coupled processes in fractured geological media at multiple scales

Journal of Rock Mechanics and Geotechnical Engineering, 2020
The greatest challenges of rigorously modeling coupled hydro-mechanical (HM) processes in fractured geological media at different scales are associated with computational geometry.
Mengsu Hu, Jonny Rutqvist
doaj  

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

General reference frames and their associated space manifolds

, 2010
We propose a formal definition of a general reference frame in a general spacetime, as an equivalence class of charts. This formal definition corresponds with the notion of a reference frame as being a (fictitious) deformable body, but we assume ...
Arminjon M., Fock V. A., FRANK REIFLER, MAYEUL ARMINJON   +3 more
core   +3 more sources

Circulating histones as clinical biomarkers in critically ill conditions

FEBS Letters, EarlyView.
Circulating histones are emerging as promising biomarkers in critical illness due to their diagnostic, prognostic, and therapeutic potential. Detection methods such as ELISA and mass spectrometry provide reliable approaches for quantifying histone levels in plasma samples.
José Luis García‐Gimenez, Juan Carlos Ruiz‐Rodríguez, Ricard Ferrer, Raquel Durá, Antonio Artigas, Iván Bajaña, David Bolado López de Andujar, Irene Cánovas‐Cervera, Adrián Ceccato, Luis Chiscano‐Camón, Elena Climent‐Martinez, Georgia García Fernández, Gemma Goma, Verónica Monforte, Beatriz Quevedo‐Sánchez, Adolf Ruiz‐Sanmartín, Antonio Sierra‐Rivera, Nieves Carbonell Monleón   +17 more
wiley   +1 more source

From Lagrangian mechanics to nonequilibrium thermodynamics: a variational perspective

, 2018
In this paper, we survey our recent results on the variational formulation of nonequilibrium thermodynamics for the finite dimensional case of discrete systems as well as for the infinite dimensional case of continuum systems.
Gay-Balmaz, François, Yoshimura, Hiroaki   +1 more
core   +2 more sources

Unlocking the potential of tumor‐derived DNA in urine for cancer detection: methodological challenges and opportunities

Molecular Oncology, EarlyView.
Urine is a rich source of biomarkers for cancer detection. Tumor‐derived material is released into the bloodstream and transported to the urine. Urine can easily be collected from individuals, allowing non‐invasive cancer detection. This review discusses the rationale behind urine‐based cancer detection and its potential for cancer diagnostics ...
Birgit M. M. Wever, Renske D. M. Steenbergen   +1 more
wiley   +1 more source

Geometric Hydrodynamics via Madelung Transform

, 2018
We introduce a geometric framework to study Newton's equations on infinite-dimensional configuration spaces of diffeomorphisms and smooth probability densities.
Khesin, Boris, Misiolek, Gerard, Modin, Klas   +2 more
core   +1 more source