Uniqueness of a generalized solution for a one-dimensional thermal explosion model of a compressible micropolar real gas

A Bašić-Šiško, I Dražić - Mathematics, 2024 - mdpi.com
In this paper, we analyze a quasi-linear parabolic initial-boundary problem describing the
thermal explosion of a compressible micropolar real gas in one spatial dimension. The …

One-dimensional model and numerical solution to the viscous and heat-conducting micropolar real gas flow with homogeneous boundary conditions

A Bašić-Šiško, I Dražić, L Simčić - Mathematics and computers in simulation, 2022 - Elsevier
In this paper, we analyze the micropolar, viscous, polytropic, and heat-conducting real gas,
whereby we assume the generalized form of pressure function in the sense that pressure is …

[图书][B] Global well-posedness of nonlinear parabolic-hyperbolic coupled systems

Y Qin, L Huang - 2012 - books.google.com
This book presents recent results on nonlinear parabolic-hyperbolic coupled systems such
as the compressible Navier-Stokes equations, and liquid crystal system. It summarizes …

Uniqueness of generalized solution to micropolar viscous real gas flow with homogeneous boundary conditions

A Bašić‐Šiško, I Dražić - Mathematical methods in the applied …, 2021 - Wiley Online Library
We study a one‐dimensional model of viscous and heat‐conducting micropolar real gas
flow through the channel with solid and thermally insulated walls, whereby the generalized …

Local existence theorem for micropolar viscous real gas flow with homogeneous boundary conditions

I Dražić, A Bašić‐Šiško - Mathematical methods in the applied …, 2023 - Wiley Online Library
We consider the model for one‐dimensional micropolar, viscous, polytropic, and thermally
conductive real gas flow with homogeneous boundary conditions, using the generalized …

On temporal asymptotics for the pth power viscous reactive gas

M Lewicka, PB Mucha - Nonlinear Analysis: Theory, Methods & …, 2004 - Elsevier
In this paper, we investigate the long time behaviour of solutions to the system governing a
heat-conductive, viscous reactive pth power gas confined between two parallel plates. For …

[HTML][HTML] Asymptotic behavior of compressible p-th power Newtonian fluid with large initial data

H Cui, Z Yao - Journal of Differential Equations, 2015 - Elsevier
In this paper, we study a large time behavior of the global spherically or cylindrically
symmetric solutions in H 1 for the p-th power compressible Newtonian fluid in multi …

[PDF][PDF] ONE DIMENSIONAL p-TH POWER NEWTONIAN FLUID WITH TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY.

T Wang - Communications on Pure & Applied Analysis, 2016 - jszy.whu.edu.cn
We study the initial and initial-boundary value problems for the p-th power Newtonian fluid in
one space dimension with general large initial data. The existence and uniqueness of …

[HTML][HTML] A Comprehensive Model and Numerical Study of Shear Flow in Compressible Viscous Micropolar Real Gases

N Črnjarić, I Dražić - Axioms, 2024 - mdpi.com
Understanding shear flow behavior in compressible, viscous, micropolar real gases is
essential for both theoretical advancements and practical engineering applications. This …

Asymptotic behavior for the one‐dimensional pth power Newtonian fluid in unbounded domains

L Wan, T Wang - Mathematical Methods in the Applied …, 2016 - Wiley Online Library
We consider the initial and initial‐boundary value problems for a one‐dimensional pth
power Newtonian fluid in unbounded domains with general large initial data. We show that …