Results 91 to 100 of about 1,483,225 (280)

On singular nonlinear distributional and impulsive initial and boundary value problems

open access: yesBoundary Value Problems, 2011
Purpose To derive existence and comparison results for extremal solutions of nonlinear singular distributional initial value problems and boundary value problems.
Heikkilä Seppo
doaj  

Long-time asymptotics of solutions of the second initial-boundary value problem for the damped Boussinesq equation

open access: yesAbstract and Applied Analysis, 1997
For the damped Boussinesq equation utt−2butxx=−αuxxxx+uxx+β(u2)xx,x∈(0,π),t>0;α,b=const>0,β=const∈R1, the second initial-boundary value problem is considered with small initial data.
Vladimir V. Varlamov
doaj   +1 more source

Acoustic gravity waves: A computational approach [PDF]

open access: yes
This paper discusses numerical solutions of a hyperbolic initial boundary value problem that arises from acoustic wave propagation in the atmosphere. Field equations are derived from the atmospheric fluid flow governed by the Euler equations.
Dutt, P. K., Hariharan, S. I.
core   +1 more source

On the initial-boundary value problem for a nonlocal parabolic equation with nonlocal boundary condition

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2018
We consider a nonlinear nonlocal parabolic equation ut = Δu + a(x,t)ur∫Ωup(y,t)dy - b(x,t)uq for (x,t) ∈ Ω × (0,+∞) with nonlinear nonlocal boundary condition u(x,t)|∂Ω × (0,+∞) = ∫Ωk(x,y,t)ul(y,t)dy and initial data u(x,0) = u0(x), x ∈ Ω, where r, p, q,
Alexander L. Gladkov   +1 more
doaj  

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