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Global solutions to the $n$-dimensional incompressible Oldroyd-B model without damping mechanism
The present work is dedicated to the global solutions to the incompressible Oldroyd-B model without damping on the stress tensor in $\mathbb{R}^n(n=2,3)$. This result allows to construct global solutions for a class of highly oscillating initial velocity.
Zhai, Xiaoping
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Nonlinear Models of Thermo-Viscoelastic Materials. [PDF]
Giorgi C, Morro A.
europepmc +1 more source
Evaluation of a novel computer vision-based livestock monitoring system to identify and track specific behaviors of individual nursery pigs within a group-housed environment. [PDF]
Schmidt TB+7 more
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Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow [PDF]
A time-dependent model corresponding to an Oldroyd-B viscoelastic fluid is considered, the convective terms being disregarded. Global existence in time is proved in Banach spaces provided the data are small enough, using the implicit function theorem and
Bonito, Andrea+2 more
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Viscoelastic fluids in a thin domain
The present paper deals with viscoelastic flows in a thin domain. In particular, we derive and analyse the asymptotic equations of the Stokes-Oldroyd system in thin films (including shear effects).
Bayada, Guy+2 more
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The FENE model for viscoelastic thin film flows: Justification of new models and applications. [PDF]
In this article, we rigorously determine an asymptotic model for viscoelastic flows of FENE type for thin domains. The proof presented here is based on existence and unicity results for a Fokker-Planck equation and for the limit problem when the ratio ...
Chupin, Laurent
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We prove existence, uniqueness, and higher-order global regularity of strong solutions to a particular Voigt-regularization of the three-dimensional inviscid resistive Magnetohydrodynamic (MHD) equations.
Larios, Adam, Titi, Edriss S.
core
Path following methods for steady laminar Bingham flow in cylindrical pipes [PDF]
González, Sergio+1 more
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Visco-elastodynamics at large strains Eulerian
, 2021Isothermal visco-elastodynamics in the Kelvin-Voigt rheology is formulated in the spatial Eulerian coordinates in terms of velocity and deformation gradient. A generally nonconvex (possibly also frame-indifferent) stored energy is admitted.
Tom'avs Roub'ivcek
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