Title | ||
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Existence and stability of periodic contrast structure in reaction-advection-diffusion equation with discontinuous reactive and convective terms |
Abstract | ||
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•The main characteristic of discontinuous singularly perturbed parabolic is that the second partial derivative is discontinuous on the both sides of the discontinuous curve.•This characteristic leads to solution often feature a narrow internal layer region of rapid change near the discontinuous curve. Especially, the value of the solution passing through the discontinuous curve is undetermined.•We can use the smooth connection method to make the solution smoothly passes through discontinuous curve and determine the passing position.•This is a new asymptotic method rather than the simply generalization of the methods of corresponding continuous system. |
Year | DOI | Venue |
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2020 | 10.1016/j.cnsns.2020.105457 | Communications in Nonlinear Science and Numerical Simulation |
Keywords | DocType | Volume |
Reaction-advection-diffusion equation,Periodic solutions,Internal layer,Asymptotic stability | Journal | 91 |
ISSN | Citations | PageRank |
1007-5704 | 0 | 0.34 |
References | Authors | |
0 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Xiao Wu | 1 | 11 | 3.75 |
Mingkang Ni | 2 | 0 | 0.34 |