Intrinsic properties of conservation-dissipation formalism of irreversible thermodynamics
WA Yong - … Transactions of the Royal Society A, 2020 - royalsocietypublishing.org
This paper proposes four fundamental requirements for establishing PDEs (partial
differential equations) modelling irreversible processes. We show that the PDEs derived via …
differential equations) modelling irreversible processes. We show that the PDEs derived via …
[HTML][HTML] On the derivation of macroscopic models for compressible viscoelastic fluids using the generalized bracket framework
AT Mackay, TN Phillips - Journal of Non-Newtonian Fluid Mechanics, 2019 - Elsevier
The generalized bracket framework is used to derive a family of compressible viscoelastic
models. The framework accounts for both reversible and non-reversible dynamics and …
models. The framework accounts for both reversible and non-reversible dynamics and …
Shock waves of viscoelastic Burgers equations
JI Ramos - International Journal of Engineering Science, 2020 - Elsevier
Travelling wave solutions of the front, kink or shock wave type are obtained analytically for
one–dimensional viscoelastic Burgers equations with an objective Gordon–Schowalter time …
one–dimensional viscoelastic Burgers equations with an objective Gordon–Schowalter time …
Global classical solutions of 3D compressible viscoelastic system near equilibrium
Y Zhu - Calculus of Variations and Partial Differential …, 2022 - Springer
In this paper, we prove the global existence of general small solutions to compressible
viscoelastic system. We remove the “initial state” assumption (ρ _0\det F_0= 1 ρ~ 0 det F 0 …
viscoelastic system. We remove the “initial state” assumption (ρ _0\det F_0= 1 ρ~ 0 det F 0 …
Thermodynamically consistent modeling for complex fluids and mathematical analysis
Y Suzuki, M Ohnawa, N Mori… - Mathematical Models and …, 2021 - World Scientific
The goal of this paper is to derive governing equations for complex fluids in a
thermodynamically consistent way so that the conservation of energy and the increase of …
thermodynamically consistent way so that the conservation of energy and the increase of …
Global existence in critical spaces for non Newtonian compressible viscoelastic flows
X Pan, J Xu, Y Zhu - Journal of Differential Equations, 2022 - Elsevier
We are interested in the multi-dimensional compressible viscoelastic flows of Oldroyd type,
which is one of non-Newtonian fluids exhibiting the elastic behavior. In order to capture the …
which is one of non-Newtonian fluids exhibiting the elastic behavior. In order to capture the …
Recent advances in conservation–dissipation formalism for irreversible processes
The main purpose of this review is to summarize the recent advances of the Conservation–
Dissipation Formalism (CDF), a new way for constructing both thermodynamically …
Dissipation Formalism (CDF), a new way for constructing both thermodynamically …
Conservation-Dissipation Formalism for soft matter physics: I. Augmentation to Doi's variational approach
In the first paper of this series, we prove that by choosing the proper variational function and
variables, the variational approach proposed by Doi in soft matter physics is equivalent to …
variables, the variational approach proposed by Doi in soft matter physics is equivalent to …
Dissipative port-Hamiltonian Formulation of Maxwell Viscoelastic Fluids
In this paper we consider general port-Hamiltonian formulations of multidimensional
Maxwell's viscoelastic fluids. Two different cases are considered to describe the energy …
Maxwell's viscoelastic fluids. Two different cases are considered to describe the energy …
Global Regularity to Incompressible Viscoelastic System With a Class of Large Initial Data
Y Zhu - arXiv preprint arXiv:2012.08374, 2020 - arxiv.org
The global existence of solutions to incompressible viscoelastic flows has been a
longstanding open problem, even for the global weak solution. Under some special structure …
longstanding open problem, even for the global weak solution. Under some special structure …