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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 = {Chunhua and Jin and and 18115 and and Chunhua Jin and Jingxue and Yin and and 18116 and and Jingxue Yin and Xuping and Zhang and and 18117 and and Xuping Zhang}, 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.

ChunhuaJin, JingxueYin & XupingZhang. (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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