[图书][B] Mathematical analysis of viscoelastic flows

M Renardy - 2000 - SIAM
Fluids with complex microstructure, such as polymers, suspensions, and granular materials,
abound in daily life and in many industrial processes, eg, in the chemical, food, and oil …

Global existence result for the generalized Peterlin viscoelastic model

M Lukáčová-Medviďová, H Mizerová… - SIAM Journal on …, 2017 - SIAM
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 …

Mathematical analysis of viscoelastic fluids

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 …

Weak solutions of a class of quasilinear hyperbolic integro-differential equations describing viscoelastic materials

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 …

Quasilinear parabolic Volterra equations in spaces of integrable functions

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 …

Mathematical problems arising in differential models for viscoelastic fluids

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 …

Stable finite element discretizations for viscoelastic flow models

YJ Lee, J Xu, CS Zhang - Handbook of numerical analysis, 2011 - Elsevier
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 …

Global existence of solutions for shear flow of certain viscoelastic fluids

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 …

[图书][B] Numerical methods for non-Newtonian fluids: special volume

PG Ciarlet, R Glowinski, J Xu - 2010 - books.google.com
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 …

[PDF][PDF] 博士研究生学位论文

王生原, 袁崇义 - 2001 - soft.cs.tsinghua.edu.cn
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 …