Global well-posedness and time-decay estimates for compressible Navier-Stokes equations with reaction diffusion

W Wang, H Wen - Science China Mathematics, 2022 - Springer
We consider the full compressible Navier-Stokes equations with reaction diffusion. A global
existence and uniqueness result of the strong solution is established for the Cauchy problem …

Global solutions to a model for exothermically reacting, compressible flows with large discontinuous initial data

GQ Chen, D Hoff, K Trivisa - Archive for rational mechanics and analysis, 2003 - Springer
We prove the global existence of solutions of the Navier-Stokes equations describing the
dynamic combustion of a compressible, exothermically reacting fluid, and we study the large …

Lyapunov functional method for 1D radiative and reactive viscous gas dynamics

B Ducomet, A Zlotnik - Archive for rational mechanics and analysis, 2005 - Springer
We consider the compressible Navier–Stokes system for 1D-flows of a viscous heat-
conducting gas, with the pressure law and a one-order kinetics to include radiative effects …

[PDF][PDF] Multicomponent reactive flows: global-in-time existence for large data

E Feireisl, H Petzeltová… - Commun. Pure Appl …, 2008 - pdfs.semanticscholar.org
Multicomponent reactive flows arise in many practical applications such as combustion,
atmospheric modelling, astrophysics, chemical reactions, mathematical biology etc. The …

On the motion of a viscous compressible radiative-reacting gas

D Donatelli, K Trivisa - Communications in mathematical physics, 2006 - Springer
A multidimensional model is introduced for the dynamic combustion of compressible,
radiative and reactive gases. In the macroscopic description adopted here, the radiation is …

[KNIHA][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 …

[HTML][HTML] Global spherically symmetric flows for a viscous radiative and reactive gas in an exterior domain

Y Liao, T Wang, H Zhao - Journal of Differential Equations, 2019 - Elsevier
We consider the equations for a viscous, compressible, radiative and reactive gas (pressure
P= R ρ θ+ a θ 4/3, internal energy e= cv θ+ a θ 4/ρ) over an unbounded exterior domain in R …

On the large-time behavior of 1D radiative and reactive viscous flows for higher-order kinetics

B Ducomet, A Zlotnik - Nonlinear Analysis: Theory, Methods & Applications, 2005 - Elsevier
We consider the system of quasilinear equations describing 1D radiative and reactive
viscous flows with arbitrarily large data. The large-time behavior of solutions in the case of …

One-dimensional model and numerical solution to the viscous and heat-conducting reactive micropolar real gas flow and thermal explosion

A Bašić-Šiško, I Dražić - Iranian Journal of Science and Technology …, 2023 - Springer
In this paper, we derive an initial-boundary value problem for a model describing the
behavior of a micropolar reactive real gas in a tube with fixed and thermally insulated walls …

A multidimensional model for the combustion of compressible fluids

D Donatelli, K Trivisa - Archive for rational mechanics and analysis, 2007 - Springer
We consider a multidimensional model for the combustion of compressible reacting fluids.
The flow is governed by the Navier–Stokes in Eulerian coordinates and the chemical …