Quenching for a Non-Newtonian Filtration Equation with a Singular Boundary Condition
This paper deals with a nonlinear p-Laplacian equation with singular boundary conditions. Under proper conditions, the solution of this equation quenches in finite time and the only quenching point thatis x=1 are obtained. Moreover, the quenching rate of this equation is established. Finally, we gi...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/539161 |
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| _version_ | 1832567856084025344 |
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| author | Xiliu Li Chunlai Mu Qingna Zhang Shouming Zhou |
| author_facet | Xiliu Li Chunlai Mu Qingna Zhang Shouming Zhou |
| author_sort | Xiliu Li |
| collection | DOAJ |
| description | This paper deals with a nonlinear p-Laplacian equation with singular boundary conditions. Under proper conditions, the solution of this equation quenches in finite time and the only quenching point thatis x=1
are obtained. Moreover, the quenching rate of this equation is established. Finally, we give an example of an application of our results. |
| format | Article |
| id | doaj-art-3d1269d38ab3415995e73d277722ddb5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3d1269d38ab3415995e73d277722ddb52025-02-03T01:00:24ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/539161539161Quenching for a Non-Newtonian Filtration Equation with a Singular Boundary ConditionXiliu Li0Chunlai Mu1Qingna Zhang2Shouming Zhou3College of Mathematics and Statistics, Chongqing University, Chongqing 401331, ChinaCollege of Mathematics and Statistics, Chongqing University, Chongqing 401331, ChinaCollege of Mathematics and Statistics, Chongqing University, Chongqing 401331, ChinaCollege of Mathematics and Statistics, Chongqing University, Chongqing 401331, ChinaThis paper deals with a nonlinear p-Laplacian equation with singular boundary conditions. Under proper conditions, the solution of this equation quenches in finite time and the only quenching point thatis x=1 are obtained. Moreover, the quenching rate of this equation is established. Finally, we give an example of an application of our results.http://dx.doi.org/10.1155/2012/539161 |
| spellingShingle | Xiliu Li Chunlai Mu Qingna Zhang Shouming Zhou Quenching for a Non-Newtonian Filtration Equation with a Singular Boundary Condition Abstract and Applied Analysis |
| title | Quenching for a Non-Newtonian Filtration Equation with a Singular Boundary Condition |
| title_full | Quenching for a Non-Newtonian Filtration Equation with a Singular Boundary Condition |
| title_fullStr | Quenching for a Non-Newtonian Filtration Equation with a Singular Boundary Condition |
| title_full_unstemmed | Quenching for a Non-Newtonian Filtration Equation with a Singular Boundary Condition |
| title_short | Quenching for a Non-Newtonian Filtration Equation with a Singular Boundary Condition |
| title_sort | quenching for a non newtonian filtration equation with a singular boundary condition |
| url | http://dx.doi.org/10.1155/2012/539161 |
| work_keys_str_mv | AT xiliuli quenchingforanonnewtonianfiltrationequationwithasingularboundarycondition AT chunlaimu quenchingforanonnewtonianfiltrationequationwithasingularboundarycondition AT qingnazhang quenchingforanonnewtonianfiltrationequationwithasingularboundarycondition AT shoumingzhou quenchingforanonnewtonianfiltrationequationwithasingularboundarycondition |