Blow-Up Phenomena for a Sixth-Order Partial Differential Equation with a General Nonlinearity.

Autor:	Anbu, Arivazhagan, Natesan, Barani Balan, Lingeshwaran, Shangerganesh, Kallumgal, Dravidraj
Předmět:	BLOWING up (Algebraic geometry) TIME management DIFFERENTIAL inequalities PARTIAL differential equations
Zdroj:	Journal of Dynamical & Control Systems; Oct2023, Vol. 29 Issue 4, p1653-1667, 15p
Abstrakt:	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 equation with the help of the Dirichlet-Neumann type boundary conditions. Moreover, we derive an upper bound for the blow-up time of the solution. Finally, we also obtain a lower bound for the blow-up time of the solution using the first-order differential inequality technique when blow-up occurs. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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