Asymptotic Solutions to a Class of Catalytic Reaction Robin Problems

XU Jianzhong; MO Jiaqi

doi:10.21656/1000-0887.400185

Volume 41 Issue 1

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XU Jianzhong, MO Jiaqi. Asymptotic Solutions to a Class of Catalytic Reaction Robin Problems[J]. Applied Mathematics and Mechanics, 2020, 41(1): 107-114. doi: 10.21656/1000-0887.400185

Citation:

XU Jianzhong, MO Jiaqi. Asymptotic Solutions to a Class of Catalytic Reaction Robin Problems[J]. Applied Mathematics and Mechanics, 2020, 41(1): 107-114. doi: 10.21656/1000-0887.400185

Citation:

XU Jianzhong, MO Jiaqi. Asymptotic Solutions to a Class of Catalytic Reaction Robin Problems[J]. Applied Mathematics and Mechanics, 2020, 41(1): 107-114. doi: 10.21656/1000-0887.400185

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Asymptotic Solutions to a Class of Catalytic Reaction Robin Problems

doi: 10.21656/1000-0887.400185

XU Jianzhong¹,
MO Jiaqi²

¹Department of Electronics and Information Engineering, Bozhou University, Bozhou, Anhui 236800, P.R.China;²School of Mathematics & Statistics, Anhui Normal University, Wuhu, Anhui 241003, P.R.China

Funds: The National Natural Science Foundation of China(11771005)

Received Date: 2019-06-10
Rev Recd Date: 2019-07-11
Publish Date: 2020-01-01

Abstract

Abstract

A class of Robin problems of nonlinear catalytic reaction differential equations were studied. Firstly, under the suitable conditions, the outer solution to the original Robin problem was obtained with the perturbation method. Then by means of the stretched variable and the power series, the 1st and 2nd boundary layer corrective terms were constructed respectively, and the formal asymptotic expansion was structured. Finally, based on the theory of differential inequalities the formal asymptotic expression of the solution to the Robin problem was given. Finally, the uniform validity of the asymptotic expression of the solution to problem was proved.
- catalytic reaction,
- Robin problem,
- singular perturbation

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References(24)

References

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