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1篇 您的检索式:作者名="Sungha Yoon"
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1On the Evolutionary Dynamics of the Cahn-Hilliard Equation with Cut-Off Mass Source显示文摘We investigate the effect of cut-off logistic source on evolutionary dynamics of a generalized Cahn-Hilliard(CH)equation in this paper.It is a well-known fact that the maximum principle does not hold for the CH equation.Therefore,a generalized CH equation with logistic source may cause the negative concentration blow-up problem in finite time.To overcome this drawback,we propose the cut-off logistic source such that only the positive value greater than a given critical concentration can grow.We consider the temporal profiles of numerical results in the one-,two-,and three-dimensional spaces to examine the effect of extra mass source.Numerical solutions are obtained using a finite difference multigrid solver.Moreover,we perform numerical tests for tumor growth simulation,which is a typical application of generalized CH equations in biology.We apply the proposed cut-off logistic source term and have good results.Chaeyoung Lee Hyundong Kim Sungha Yoon Jintae Park Sangkwon Kim Junxiang Yang Junseok Kim 2021Numerical Mathematics(Theory,Methods and Applications)2021,14,1:0
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