scholarly journals A moment problem for one-dimensional nonlinear pseudoparabolic equation

2007 ◽  
Vol 328 (2) ◽  
pp. 1057-1067 ◽  
Author(s):  
Dao-Qing Dai ◽  
Yu Huang
Keyword(s):  
Moment Problem ◽  
Pseudoparabolic Equation ◽  
One Dimensional ◽  
Nonlinear Pseudoparabolic Equation

scholarly journals A Note on Conformable Double Laplace Transform and Singular Conformable Pseudoparabolic Equations

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Hassan Eltayeb ◽  
Said Mesloub
Keyword(s):  
Laplace Transform ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Pseudoparabolic Equation ◽  
New Approach ◽  
One Dimensional ◽  
Double Laplace Transform ◽  
Adomian Decomposition ◽  
Pseudoparabolic Equations

In this work, we combine conformable double Laplace transform and Adomian decomposition method and present a new approach for solving singular one-dimensional conformable pseudoparabolic equation and conformable coupled pseudoparabolic equation. Furthermore, some examples are given to show the performance of the proposed method.

scholarly journals Blow-Up of Solutions for a Class of Nonlinear Pseudoparabolic Equations with a Memory Term

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Huafei Di ◽  
Yadong Shang
Keyword(s):  
Boundary Condition ◽  
Relaxation Function ◽  
Dirichlet Boundary ◽  
Blow Up ◽  
Initial Energy ◽  
Memory Term ◽  
Initial Condition ◽  
Pseudoparabolic Equation ◽  
Pseudoparabolic Equations ◽  
Nonlinear Pseudoparabolic Equation

We consider the nonlinear pseudoparabolic equation with a memory termut-Δu-Δut+∫0tλt-τΔuτdτ=div∇up-2u+u1+α,x∈Ω,t>0, with an initial condition and Dirichlet boundary condition. Under negative initial energy and suitable conditions onp,α, and the relaxation functionλ(t), we prove a finite-time blow-up result by using the concavity method.

scholarly journals On the nonlinear pseudoparabolic equation with the mixed inhomogeneous condition

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Le Thi Phuong Ngoc ◽  
Truong Thi Nhan ◽  
Tran Minh Thuyet ◽  
Nguyen Thanh Long
Keyword(s):  
Pseudoparabolic Equation ◽  
Inhomogeneous Condition ◽  
Nonlinear Pseudoparabolic Equation

A nonlinear pseudoparabolic equation

1990 ◽  
Vol 114 (1-2) ◽  
pp. 119-133 ◽  
Author(s):  
Dang Dinh Ang ◽  
Tran Thanh
Keyword(s):  
Salient Feature ◽  
Small Time ◽  
Time Interval ◽  
Pseudoparabolic Equation ◽  
Nonhomogeneous Boundary ◽  
Small Time Interval ◽  
Nonhomogeneous Boundary Conditions ◽  
Image Position ◽  
Special Case ◽  
Nonlinear Pseudoparabolic Equation

SynopsisThe authors prove results on uniqueness and global existence of initial and boundary value problems for the nonlinear pseudoparabolic equationwith nonhomogeneous boundary conditions. A salient feature of the paper is that F and its partial derivatives are allowed to be unbounded. In the special case b(x, t)= α2 (a positive constant), it is proved that the corresponding solution uα, under appropriate conditions on the data (which are satisfied, for example, by the Benjamin–Bona–Mahony equation), uα→ u0 the solution corresponding to β = 0, on sufficiently small time interval. A result on the asymptotic behaviour of the solution is given for t → ∞.

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