We consider a class of differential models of viscoelastic fluids with diffusive stress. These constitutive models are motivated by Peterlin dumbbell theories with a nonlinear spring law …
M Renardy - Handbook of differential equations: evolutionary …, 2008 - Elsevier
Publisher Summary This chapter focuses on the equations arising from the modeling of viscoelastic polymeric liquids. This means that a sizable mathematical literature on other …
H Engler - Archive for rational mechanics and analysis, 1991 - Springer
Global weak solutions of scalar second-order quasilinear hyperbolic integro-differential equations with singular kernels are constructed. Perturbations of rest states are shown to …
J Prüss - Semigroup theory and evolution equations, 2023 - taylorfrancis.com
Let Ω⊂ ℝN be open, bounded with boundary∂ Ω of Class C2, let a (t) be of bounded variation, and https://www. w3. org/1998/Math/MathML"> g∈ C 2 Ω¯× ℝ N; ℝ N. https://s3 …
C Guillopé, JC Saut - Mathematical topics in fluid mechanics, 2020 - taylorfrancis.com
This paper is a survey of recent mathematical results concerning flows of viscoelastic fluids which obey a constitutive law of differential type: initial boundary value problem, steady …
Publisher Summary This chapter describes the way a general macroscopic viscoelastic fluid model can be reformulated, in terms of the conformation tensor, as a Riccati differential …
M Renardy - Journal of Mathematical Fluid Mechanics, 2009 - Springer
Global Existence of Solutions for Shear Flow of Certain Viscoelastic Fluids | SpringerLink Skip to main content Advertisement SpringerLink Log in Menu Find a journal Publish with us Search …
Non-Newtonian flows and their numerical simulations have generated an abundant literature, as well as many publications and references to which can be found in this …
In recent years, object Petri net technology, the combination of Petri nets and object technology, has been paid widely attention to and become one of the main methods in …