Blow-Up Phenomena for a Sixth-Order Partial Differential Equation with a General Nonlinearity
In this paper, we study the blow-up results for the sixth-order time-dependent partial
differential equation (PDE). First, we establish the existence of global solutions for the given …
differential equation (PDE). First, we establish the existence of global solutions for the given …
Lower and upper bounds for the explosion times of a system of semilinear SPDEs
In this paper, we obtain lower and upper bounds for the blow-up times for a system of
semilinear stochastic partial differential equations. Under suitable assumptions, lower and …
semilinear stochastic partial differential equations. Under suitable assumptions, lower and …
[HTML][HTML] Existence of tumor invasion model with mesenchymal and epithelial transition processes in variable exponent spaces
VND Mani, SM Anthoni - Partial Differential Equations in Applied …, 2021 - Elsevier
This work illustrate the solvability of the system consist of tumor cells of two types along with
epithelial cells and mesenchymal densities. The role of proteins matrix metalloproteinases …
epithelial cells and mesenchymal densities. The role of proteins matrix metalloproteinases …
A rate-dependent constitutive model incorporated in two-dimensional PolyFEM for Galfenol sensors
K Jayabal - Modelling and Simulation in Materials Science and …, 2021 - iopscience.iop.org
A micromechanical model with rate effects is developed to constitute the nonlinear
hysteresis sensor behaviour of Galfenol and embedded into a numerical framework, the …
hysteresis sensor behaviour of Galfenol and embedded into a numerical framework, the …
Blow-up phenomena of a cancer invasion model with nonlinear diffusion and haptotaxis term
L Shangerganesh, G Sathishkumar… - Bulletin of the Malaysian …, 2021 - Springer
In this paper, we consider a nonlinear cancer invasion mathematical model with
proliferation, growth and haptotaxis effects. We obtain lower bounds for the finite-time blow …
proliferation, growth and haptotaxis effects. We obtain lower bounds for the finite-time blow …
Lower bounds of finite-time blow-up of solutions to a two-species Keller-Segel chemotaxis model
G Sathishkumar, L Shangerganesh… - Journal of Applied …, 2021 - lhscientificpublishing.com
In this paper, we investigate the blow-up phenomena of non-negative solutions of a two-
species Keller-Segel chemotaxis model with Lotka-Volterra competitive source terms. We …
species Keller-Segel chemotaxis model with Lotka-Volterra competitive source terms. We …