Existence, a priori and a posteriori error estimates for a nonlinear three-field problem arising from Oldroyd-B viscoelastic flows [PDF]
, 2001 In this paper, a nonlinear problem corresponding to a simplified Oldroyd-B model without convective terms is considered. Assuming the domain to be a convex polygon, existence of a solution is proved for small relaxation times.
Picasso, Marco, Rappaz, Jacques
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A generalization of the Lomnitz logarithmic creep law via Hadamard fractional calculus
, 2017 We present a new approach based on linear integro-differential operators with logarithmic kernel related to the Hadamard fractional calculus in order to generalize, by a parameter $\nu \in (0,1]$, the logarithmic creep law known in rheology as Lomnitz ...
Garra, Roberto +2 more
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Invariant Measures for Dissipative Dynamical Systems: Abstract Results and Applications [PDF]
, 2012 In this work we study certain invariant measures that can be associated to the time averaged observation of a broad class of dissipative semigroups via the notion of a generalized Banach limit.
Chekroun, Micka ël D. +1 more
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On Maxwell fluid with relaxation time and viscosity depending on the pressure
, 2010 We study a variant of the well known Maxwell model for viscoelastic fluids, namely we consider the Maxwell fluid with viscosity and relaxation time depending on the pressure.
Amos +27 more
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Mathematical existence results for the Doi-Edwards polymer model [PDF]
, 2015 In this paper, we present some mathematical results on the Doi-Edwards model describing the dynamics of flexible polymers in melts and concentrated solutions.
Chupin, Laurent
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Numerical analysis of a stabilized finite element approximation for the three-field linearized viscoelastic fluid problem using arbitrary interpolations [PDF]
, 2016 The original publication is available at www.esaimm2an.org.In this paper we present the numerical analysis of a three-field stabilized finite element formulation recently proposed to approximate viscoelastic flows. The three-field viscoelastic fluid flow
Castillo del Barrio, Ernesto +1 more
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Energy-variational solutions for viscoelastic fluid models
Advances in Nonlinear AnalysisIn this article, we introduce the concept of energy-variational solutions for a class of nonlinear dissipative evolutionary equations, which turns out to be especially suited to treat viscoelastic fluid models.
Agosti Abramo +2 more
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Two shallow-water type models for viscoelastic flows from kinetic theory for polymers solutions [PDF]
, 2013 In this work, depending on the relation between the Deborah, the Reynolds and the aspect ratio numbers, we formally derived shallow-water type systems starting from a micro-macro description for non-Newtonian fluids in a thin domain governed by an ...
Bresch, Didier, Narbona Reina, Gladys
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Incompressible limit for the compressible viscoelastic fluids in critical space
Advances in Nonlinear AnalysisIn this article, we consider the incompressible limit of global-in-time strong solutions with arbitrary large initial velocity for the compressible viscoelastic fluids in the sense of critical Besov framework. We decouple our compressible system into two
Han Bin, Wu Dan
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Strong stability of 2D viscoelastic Poiseuille-type flows [PDF]
, 2014 We investigate Lp stability issues of small viscoelastic Poiseuilletype ows in two dimensions stemming from a model considered in Fang- Hua Lin, Chun Liu, and Ping Zhang (2005).
Giga, Y., Sauer, J., Schade, K.
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