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    A complementary energy approach accommodates scale differences in soft tissues 

    Saez, P.; Eppell, S.J.; Ballarini, R.; Rodriguez Matas, J.F. (2020-02-08)

    The mechanics of biological entities, from single molecules to the whole organ, has been extensively analyzed during the last decades. At the smaller scales, statistical mechanics has fostered successful physical models ...

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    A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP 

    Jorba, A.; Nicolás, B.; Rodríguez, O. (2024-12-03)

    The Hilda group is a set of asteroids whose mean motion is in a 3:2 orbital resonance with Jupiter. In this paper, we use the planar Circular Restricted Three-Body Problem (CRTBP) as a dynamical model and we show that there ...

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    An approximate mathematical model for solidification of a flowing liquid in a microchannel 

    Myers, T.G.; Low, J. (2011)

    A mathematical model is developed to analyse the combined flow and solidification of a liquid in a small pipe or two-dimensional channel. In either case the problem reduces to solving a single equation for the position of ...

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    An approximate solution method for boundary layer flow of a power law fluid over a flat plate 

    Myers, T.G. (2011)

    The work in this paper deals with the development of momentum and thermal boundary layers when a power law fluid flows over a flat plate. At the plate we impose either constant temperature, constant flux or a Newton cooling ...

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    Application of the combined integral method to Stefan problems 

    Myers, T.G.; Mitchell, Sarah L. (2011)

    In this paper we present a new, accurate form of the heat balance integral method, termed the Combined Integral Method (or CIM). The application of this method to Stefan problems is discussed. For simple test cases the ...

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    Contact melting of a three-dimensional phase change material on a flat substrate 

    De Decker, Michelle M.; Myers, T.G. (2011)

    In this paper a model is developed to describe the three dimensional contact melting process of a cuboid on a heated surface. The mathematical description involves two heat equations (one in the solid and one in the melt), ...

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    Effective bounds for the measure of rotations 

    Figueras, J.-L.; Haro, A.; Luque, A. (2019-12-19)

    A fundamental question in dynamical systems is to identify regions of phase/parameter space satisfying a given property (stability, linearization, etc). Given a family of analytic circle diffeomorphisms depending on a ...

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    Improving the accuracy of heat balance integral methods applied to thermal problems with time dependent boundary conditions 

    Mitchell, Sarah L.; Myers, T.G. (2011)

    In this paper the two main drawbacks of the heat balance integral methods are examined. Firstly we investigate the choice of approximating function. For a standard polynomial form it is shown that combining the Heat Balance ...

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    istinct flavors of Zipf's law and its maximum likelihood fitting: Rank-size and size-distribution representations 

    Corral, Á.; Serra, I.; Ferrer-I-Cancho, R. (2019-11-10)

    In recent years, researchers have realized the difficulties of fitting power-law distributions properly. These difficulties are higher in Zipfian systems, due to the discreteness of the variables and to the existence of ...

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    Microrheometer for biofluidic analysis: Electronic detection of the fluid‐front advancement 

    Méndez‐mora, L.; Cabello‐fusarés, M.; Ferré‐torres, J.; Riera‐Llobet, C.; Lopez, S.; Trejo‐soto, C.; Alarcón, T.; Hernandez‐machado, A. (2021-06-20)

    The motivation for this study was to develop a microdevice for the precise rheological characterization of biofluids, especially blood. The method presented was based on the principles of rheometry and fluid mechanics at ...

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    Modeling cell crawling strategies with a bistable model: From amoeboid to fan-shaped cell motion 

    Moreno, E.; Flemming, S.; Font, F.; Holschneider, M.; Beta, C.; Alonso, S. (2020-06-12)

    Eukaryotic cell motility involves a complex network of interactions between biochemical components and mechanical processes. The cell employs this network to polarize and induce shape changes that give rise to membrane ...

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    Modelling of non-linear viscoelastic tissues with bar elements 

    Asadipour, Nina (2012-04)

    In this work we develop a viscoelastic bar element that can handle multiple rheo- logical laws with non-linear elastic and non-linear viscous material models. The bar element is built by joining in series an elastic and ...

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    Monopoles in arbitrary dimension 

    Díaz, Pablo; Lázaro-Camí, Joan-Andreu (2008-11)

    "Vegeu el resum a l'inici del document del fitxer adjunt."

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    Nonpersistence of resonant caustics in perturbed elliptic billiards 

    Pinto-de-Carvalho, Sònia; Ramírez Ros, Rafael (2011)

    Caustics are curves with the property that a billiard trajectory, once tangent to it, stays tangent after every reflection at the boundary of the billiard table. When the billiard table is an ellipse, any nonsingular ...

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    On the Arnold Diffusion Mechanism in Medium Earth Orbit 

    Alessi, E. M.; Baldomá, I.; Giralt, M.; Guardia, M. (2024-11-05)

    Space debris mitigation guidelines represent the most effective method to preserve the circumterrestrial environment. Among them, end-of-life disposal solutions play a key role. In this regard, effective strategies should ...

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    On the role of the fast oscillations in the secular dynamics of the lunar coplanar perturbation on Galileo satellites 

    Alessi, Elisa Maria; Baldomá Barraca, Inmaculada; Giralt, Mar; Guardia, Marcel; Pousse, Alexandre (2025-03-01)

    Motivated by the practical interest in the third-body perturbation as a natural cleaning mechanism for high-altitude Earth orbits, we investigate the dynamics stemming from the secular Hamiltonian associated with the lunar ...

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    One-dimensional solidification of supercooled melts 

    Font Martínez, Francesc; Myers, T. G.; Mittchell, Sara L. (2012-11-01)

    In this paper a one-phase supercooled Stefan problem, with a nonlinear relation between the phase change temperature and front velocity, is analysed. The model with the standard linear approximation, valid for small ...

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    Oscillatory Motions, Parabolic Orbits and Collision Orbits in the Planar Circular Restricted Three-Body Problem 

    Lamas, J.; Guardia, M.; Sea, T. M. (2025-04-10)

    In this paper we consider the planar circular restricted three body problem (PCRTBP), which models the motion of a massless body under the attraction of other two bodies, the primaries, which describe circular orbits around ...

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    Reconstruction threshold for the hardcore model 

    Bhatnagar, Nayantara; Sly, Allan; Tetali, Prasad (2010-06)

    "Vegeu el resum a l'inici del document del fitxer adjunt."

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    Rigidity of cotangent lifts and integrable systems 

    Mir, P.; Miranda, E. (2020-06-22)

    In this article we generalize a theorem by Palais on the rigidity of compact group actions to cotangent lifts. We use this result to prove rigidity for integrable systems on symplectic manifolds including systems with ...