Bifurcation for a free boundary problem modeling tumor growth with inhibitors

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• 作者：Zejia Wang ; ^{wangzj1979@gmail.com" class="auth_mail}
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：October 2014
• 年：2014
• 卷：19
• 期：Complete
• 页码：45-53
• 全文大小：390 K

文摘

This paper deals with a free boundary problem modeling tumor growth with inhibitors. This problem has a unique radially symmetric stationary solution with radius ext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S1468121814000364&_mathId=si1.gif&_user=111111111&_pii=S1468121814000364&_rdoc=1&_issn=14681218&md5=bb40d26cdd14c1c9983893d24a1a3607" title="Click to view the MathML source">r=R_ser hidden">e">. The tumor aggressiveness is modeled by a positive tumor aggressiveness parameter ext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S1468121814000364&_mathId=si2.gif&_user=111111111&_pii=S1468121814000364&_rdoc=1&_issn=14681218&md5=d2932716809e5725a7d5163ca552d9cd" title="Click to view the MathML source">渭er hidden">e">. It is shown that there exist a positive integer ext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S1468121814000364&_mathId=si3.gif&_user=111111111&_pii=S1468121814000364&_rdoc=1&_issn=14681218&md5=f157822367a6db2e9393ae98ebda71f8" title="Click to view the MathML source">m^∗∗∈Rer hidden">e"> and a sequence of ext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S1468121814000364&_mathId=si4.gif&_user=111111111&_pii=S1468121814000364&_rdoc=1&_issn=14681218&md5=a628417831a579844e5b52aabe629922" title="Click to view the MathML source">渭_mer hidden">e">, such that for eachext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S1468121814000364&_mathId=si5.gif&_user=111111111&_pii=S1468121814000364&_rdoc=1&_issn=14681218&md5=c2197e97c45681ddb653ee6ba9c24d07" title="Click to view the MathML source">渭_m(m>m^∗∗)er hidden">e">, symmetry-breaking solutions bifurcate from the radially symmetric stationary solutions.