
Previous Article
Brain anatomical feature detection by solving partial differential equations on general manifolds
 DCDSB Home
 This Issue

Next Article
On shock waves in solids
Nonlinear threedimensional simulation of solid tumor growth
1.  Department of Mathematics, University of California, Irvine, CA 92697, United States 
2.  School of Health Information Sciences, University of Texas Health Science Center, Houston, TX 77030, United States 
3.  Center for Mathematical and Computational Biology, Department of Mathematics, University of California, Irvine, CA 926973875 
4.  Department of Mathematics, Center for Mathematical and Computational Biology, University of California, Irvine, CA 92697, United States 
[1] 
Yi Shi, Kai Bao, XiaoPing Wang. 3D adaptive finite element method for a phase field model for the moving contact line problems. Inverse Problems & Imaging, 2013, 7 (3) : 947959. doi: 10.3934/ipi.2013.7.947 
[2] 
Thomas Y. Hou, Pingwen Zhang. Convergence of a boundary integral method for 3D water waves. Discrete & Continuous Dynamical Systems  B, 2002, 2 (1) : 134. doi: 10.3934/dcdsb.2002.2.1 
[3] 
Thomas Y. Hou, Zuoqiang Shi. Dynamic growth estimates of maximum vorticity for 3D incompressible Euler equations and the SQG model. Discrete & Continuous Dynamical Systems  A, 2012, 32 (5) : 14491463. doi: 10.3934/dcds.2012.32.1449 
[4] 
Michael V. Klibanov, DinhLiem Nguyen, Loc H. Nguyen, Hui Liu. A globally convergent numerical method for a 3D coefficient inverse problem with a single measurement of multifrequency data. Inverse Problems & Imaging, 2018, 12 (2) : 493523. doi: 10.3934/ipi.2018021 
[5] 
Nikodem J. Poplawski, Abbas Shirinifard, Maciej Swat, James A. Glazier. Simulation of singlespecies bacterialbiofilm growth using the GlazierGranerHogeweg model and the CompuCell3D modeling environment. Mathematical Biosciences & Engineering, 2008, 5 (2) : 355388. doi: 10.3934/mbe.2008.5.355 
[6] 
A. V. Fursikov. Stabilization for the 3D NavierStokes system by feedback boundary control. Discrete & Continuous Dynamical Systems  A, 2004, 10 (1&2) : 289314. doi: 10.3934/dcds.2004.10.289 
[7] 
Anna Kostianko, Sergey Zelik. Inertial manifolds for the 3D CahnHilliard equations with periodic boundary conditions. Communications on Pure & Applied Analysis, 2015, 14 (5) : 20692094. doi: 10.3934/cpaa.2015.14.2069 
[8] 
Mei Wang, Zilai Li, Zhenhua Guo. Global weak solution to 3D compressible flows with densitydependent viscosity and free boundary. Communications on Pure & Applied Analysis, 2017, 16 (1) : 124. doi: 10.3934/cpaa.2017001 
[9] 
Marcelo M. Disconzi, Igor Kukavica. A priori estimates for the 3D compressible freeboundary Euler equations with surface tension in the case of a liquid. Evolution Equations & Control Theory, 2019, 8 (3) : 503542. doi: 10.3934/eect.2019025 
[10] 
Fabrice Delbary, Kim Knudsen. Numerical nonlinear complex geometrical optics algorithm for the 3D Calderón problem. Inverse Problems & Imaging, 2014, 8 (4) : 9911012. doi: 10.3934/ipi.2014.8.991 
[11] 
Boyan Jonov, Thomas C. Sideris. Global and almost global existence of small solutions to a dissipative wave equation in 3D with nearly null nonlinear terms. Communications on Pure & Applied Analysis, 2015, 14 (4) : 14071442. doi: 10.3934/cpaa.2015.14.1407 
[12] 
Yong Zhou. Remarks on regularities for the 3D MHD equations. Discrete & Continuous Dynamical Systems  A, 2005, 12 (5) : 881886. doi: 10.3934/dcds.2005.12.881 
[13] 
HyeongOhk Bae, Bum Ja Jin. Estimates of the wake for the 3D Oseen equations. Discrete & Continuous Dynamical Systems  B, 2008, 10 (1) : 118. doi: 10.3934/dcdsb.2008.10.1 
[14] 
Indranil SenGupta, Weisheng Jiang, Bo Sun, Maria Christina Mariani. Superradiance problem in a 3D annular domain. Conference Publications, 2011, 2011 (Special) : 13091318. doi: 10.3934/proc.2011.2011.1309 
[15] 
Giovanny Guerrero, José Antonio Langa, Antonio Suárez. Biodiversity and vulnerability in a 3D mutualistic system. Discrete & Continuous Dynamical Systems  A, 2014, 34 (10) : 41074126. doi: 10.3934/dcds.2014.34.4107 
[16] 
Yaodan Huang, Zhengce Zhang, Bei Hu. Bifurcation from stability to instability for a free boundary tumor model with angiogenesis. Discrete & Continuous Dynamical Systems  A, 2019, 39 (5) : 24732510. doi: 10.3934/dcds.2019105 
[17] 
Niklas Hartung. Efficient resolution of metastatic tumor growth models by reformulation into integral equations. Discrete & Continuous Dynamical Systems  B, 2015, 20 (2) : 445467. doi: 10.3934/dcdsb.2015.20.445 
[18] 
Shihe Xu. Analysis of a delayed free boundary problem for tumor growth. Discrete & Continuous Dynamical Systems  B, 2011, 15 (1) : 293308. doi: 10.3934/dcdsb.2011.15.293 
[19] 
Sadek Gala. A new regularity criterion for the 3D MHD equations in $R^3$. Communications on Pure & Applied Analysis, 2012, 11 (3) : 973980. doi: 10.3934/cpaa.2012.11.973 
[20] 
Eleonora Messina. Numerical simulation of a SIS epidemic model based on a nonlinear Volterra integral equation. Conference Publications, 2015, 2015 (special) : 826834. doi: 10.3934/proc.2015.0826 
2018 Impact Factor: 1.008
Tools
Metrics
Other articles
by authors
[Back to Top]