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Volume 25, Issue 1
Critical Quenching Exponents for Heat Equations Coupled with Nonlinear Boundary Flux

Chunhua Jin, Jingxue Yin & Xuping Zhang

Commun. Math. Res., 25 (2009), pp. 88-96.

Published online: 2021-06

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  • Abstract

We discuss the quenching phenomena for a system of heat equations coupled with nonlinear boundary flux. We determine a critical value for the exponents in the boundary flux, such that only in the super critical case the simultaneous quenching can happen for any solution.

  • Keywords

quenching, simultaneous, non-simultaneous, nonlinear boundary flux.

  • AMS Subject Headings

35K40, 35K20, 35K15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-25-88, author = {Jin , ChunhuaYin , Jingxue and Zhang , Xuping}, title = {Critical Quenching Exponents for Heat Equations Coupled with Nonlinear Boundary Flux}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {25}, number = {1}, pages = {88--96}, abstract = {

We discuss the quenching phenomena for a system of heat equations coupled with nonlinear boundary flux. We determine a critical value for the exponents in the boundary flux, such that only in the super critical case the simultaneous quenching can happen for any solution.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19286.html} }
TY - JOUR T1 - Critical Quenching Exponents for Heat Equations Coupled with Nonlinear Boundary Flux AU - Jin , Chunhua AU - Yin , Jingxue AU - Zhang , Xuping JO - Communications in Mathematical Research VL - 1 SP - 88 EP - 96 PY - 2021 DA - 2021/06 SN - 25 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19286.html KW - quenching, simultaneous, non-simultaneous, nonlinear boundary flux. AB -

We discuss the quenching phenomena for a system of heat equations coupled with nonlinear boundary flux. We determine a critical value for the exponents in the boundary flux, such that only in the super critical case the simultaneous quenching can happen for any solution.

Jin , ChunhuaYin , Jingxue and Zhang , Xuping. (2021). Critical Quenching Exponents for Heat Equations Coupled with Nonlinear Boundary Flux. Communications in Mathematical Research . 25 (1). 88-96. doi:
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