# Asymptotic Behavior of the Solution to the System for a Viscous Reactive Gas

@article{Guo1999AsymptoticBO, title={Asymptotic Behavior of the Solution to the System for a Viscous Reactive Gas}, author={Boling Guo and Peicheng Zhu}, journal={Journal of Differential Equations}, year={1999}, volume={155}, pages={177-202} }

Abstract In this paper, we investigate the asymptotic behavior of the generalized solution to the compressible Navier–Stokes equations which describes a thermal explosion in a viscous reactive perfect gas confined between two infinite parallel plates in combustion theory.

## 22 Citations

### Global Existence and Exponential Stability for the p th Power Viscous Reactive Gas

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In this chapter, we prove the global existence and exponential stability of solutions in H i (i= 2,4) for the compressible Navier-Stokes equations, which arise in the study of a thermal explosion and…

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### Global Existence and Asymptotic Behavior of Solutions to a Free Boundary Problem for the 1D Viscous Radiative and Reactive Gas

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In this paper, we study a free boundary problem for the 1D viscous radiative and reactive gas. We prove that for any large initial data, the problem admits a unique global generalized solution.…

### Unique solvability for a class of non-Newtonian fluids for a reacting mixture with vacuum

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- 2016

In this paper,we consider a class of non-Newtonian fluids for a reacting mixture in one-dimensional bounded interval, provided the initial data satisfying a compatibility condition. The main…

### Lyapunov Functional Method for 1D Radiative and Reactive Viscous Gas Dynamics

- Mathematics
- 2005

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 and reactive processes.…

### Remarks on global existence and exponential stability of solutions for the viscous radiative and reactive gas with large initial data

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- 2017

In this paper, we study a large time behavior of the global spherically or cylindrically symmetric solutions in H1 for the compressible viscous radiative and reactive gas in multi-dimension with…

### Global solutions of a radiative and reactive gas with self‐gravitation for higher‐order kinetics

- Mathematics, Chemistry
- 2011

The existence of global solutions is established for compressible Navier–Stokes equations by taking into account the radiative and reactive processes, when the heat conductivity κ (κ1(1 + θq) ≤ κ ≤…

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