Existence and Blowup of Positive Solutions to a Class of Multilateral Flow Equations

LI Jianjun; TANG Yina

doi:10.21656/1000-0887.420022

Volume 42 Issue 9

Sep. 2021

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LI Jianjun, TANG Yina. Existence and Blowup of Positive Solutions to a Class of Multilateral Flow Equations[J]. Applied Mathematics and Mechanics, 2021, 42(9): 924-931. doi: 10.21656/1000-0887.420022

Citation:

LI Jianjun, TANG Yina. Existence and Blowup of Positive Solutions to a Class of Multilateral Flow Equations[J]. Applied Mathematics and Mechanics, 2021, 42(9): 924-931. doi: 10.21656/1000-0887.420022

Citation:

LI Jianjun, TANG Yina. Existence and Blowup of Positive Solutions to a Class of Multilateral Flow Equations[J]. Applied Mathematics and Mechanics, 2021, 42(9): 924-931. doi: 10.21656/1000-0887.420022

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Existence and Blowup of Positive Solutions to a Class of Multilateral Flow Equations

doi: 10.21656/1000-0887.420022

LI Jianjun,
TANG Yina^,

Existence and Blowup of Positive Solutions to a Class of Multilateral Flow Equations

Received Date: 2021-01-21
Rev Recd Date: 2021-03-08

Available Online: 2021-09-29

Abstract

Abstract

The global existence and blowup of the solutions to a class of multilateral filtration equations with non-local Neumann boundary conditions and nonlinear absorption terms were studied. First, the super- and sub-solutions were defined for the studied equations and the comparison principle was established. Then, the equation was investigated with constructed functions, differential inequalities, eigenfunctions, ordinary differential equation and elliptic second boundary value solutions. The global existence of non-negative solutions to the equations and the conditions for blowup in a finite time for the parameters, weight functions and initial values in different value ranges were obtained.
- Neumann boundary condition,
- multilateral filtration equation,
- global existence,
- blowup

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References(16)

References

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