Mathematical analysis of a tumor invasion model—global existence and stability

2021 ◽  
Vol 61 ◽  
pp. 103297
Author(s):  
Xueyan Tao ◽  
Yuanwei Qi ◽  
Shulin Zhou
Keyword(s):  
Global Existence ◽  
Mathematical Analysis ◽  
Tumor Invasion ◽  
Existence And Stability ◽  
Invasion Model

scholarly journals Global Existence of Classical Solutions to a Cancer Invasion Model

2012 ◽  
Vol 03 (04) ◽  
pp. 382-388 ◽  
Author(s):  
Khadijeh Baghaei ◽  
Mohammad Bagher Ghaemi ◽  
Mahmoud Hesaaraki
Keyword(s):  
Global Existence ◽  
Cancer Invasion ◽  
Classical Solutions ◽  
Invasion Model

Fokas transform method for a brain tumor invasion model with heterogeneous diffusion in 1 + 1 dimensions

2016 ◽  
Vol 104 ◽  
pp. 47-61 ◽  
Author(s):  
D. Mantzavinos ◽  
M.G. Papadomanolaki ◽  
Y.G. Saridakis ◽  
A.G. Sifalakis
Keyword(s):  
Brain Tumor ◽  
Tumor Invasion ◽  
Transform Method ◽  
Invasion Model

scholarly journals Global Existence and Blow-Up for the Euler-Bernoulli Plate Equation with Variable Coefficients

2014 ◽  
Vol 2014 ◽  
pp. 1-15
Author(s):  
Jianghao Hao ◽  
Jie Lan
Keyword(s):  
Global Existence ◽  
Blow Up ◽  
Local Existence ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Variable Coefficients ◽  
Stability Of Solutions ◽  
Plate Equation ◽  
Existence And Stability ◽  
Initial Boundary Value

We prove the local existence, blow-up, global existence, and stability of solutions to the initial boundary value problem for Euler-Bernoulli plate equation with variable coefficients.

SOME ASYMPTOTICS FOR A REACTIVE NAVIER–STOKES–POISSON SYSTEM

1999 ◽  
Vol 09 (07) ◽  
pp. 1039-1076 ◽  
Author(s):  
B. DUCOMET
Keyword(s):  
Global Existence ◽  
Global Solution ◽  
Spherical Model ◽  
Navier Stokes ◽  
Positive Energy ◽  
Stability Of Solutions ◽  
Poisson System ◽  
Rigid Core ◽  
Existence And Stability

We prove global existence and stability of solutions for a spherical model of reactive compressible self-gravitating fluid when a rigid core is present. In the absence of core, we show that no global solution of positive energy can exist.

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