Existence and uniqueness of the stationary solution of mathematical model of necrotic tumor with the third boundary
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Existence and uniqueness of the stationary solution of mathematical model of necrotic tumor with the third boundary
Acta Scientiarum Naturalium Universitatis SunYatseniVol. 57, Issue 5, Pages: 140-144(2018)
作者机构:
1. 广东工业大学应用数学学院,广东,广州,510520
2.
3. 南方医科大学口腔医院,广东,广州,510280
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Published:2018,
Published Online:25 September 2018,
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SHEN Haishuang, WEI Xuemei, LIU Chengxia, et al. Existence and uniqueness of the stationary solution of mathematical model of necrotic tumor with the third boundary. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 57(5):140-144(2018)
DOI:
SHEN Haishuang, WEI Xuemei, LIU Chengxia, et al. Existence and uniqueness of the stationary solution of mathematical model of necrotic tumor with the third boundary. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 57(5):140-144(2018)DOI:
Existence and uniqueness of the stationary solution of mathematical model of necrotic tumor with the third boundary
The mathematical model of necrotic tumor growth with the third boundary is studied. The model comprises a parabolic equation and an ordinary differential equation. The tumor is assumed that the nutrient concentration determines the growth of the tumor which is spherical symmetry. Using the rigorous mathematical analysis method
the existence and uniqueness of the stationary solution of the model are proven.
关键词
坏死核肿瘤第三边界抛物型方程稳态解存在唯一性
Keywords
necrotic tumorthe third boundaryparabolic equationstationary solutionsexistence and uniqueness