Results 11 to 20 of about 1,212,620 (281)

Classical solution for initial–boundary value problem for wave equation with integral boundary condition

open access: yesMathematical Modelling and Analysis, 2012
The unique existence of classical solution of initial–boundary value problem for wave equation with a special integral boundary condition is proved in the work. Classical solution of the problem in analytical form is also found in the article.
Victor Korzyuk   +2 more
doaj   +1 more source

An Initial-Boundary Value Problem With New Technique of Piecewise Uniform Mesh [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2023
The objective of my research is to establish facts and determine their significance. A new ε-convergent piecewise uniform mesh has been produced, by deriving a hybrid technique to find out the extent of subdomains (τ) of the singular boundary layers that
Rafiq Muhammad
doaj   +1 more source

Two-Dimension Riemann Initial-Boundary Value Problem of Scalar Conservation Laws with Curved Boundary

open access: yesBoundary Value Problems, 2011
This paper is concerned with the structure of the weak entropy solutions to two-dimension Riemann initial-boundary value problem with curved boundary.
Tao Pan, Huazhou Chen
doaj   +2 more sources

Countable hyperbolic systems in the theory of nonlinear oscillations

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2016
In this article a model example of a mixed problem for a fourth-order differential equation reduced to initial-boundary value problem for countable hyperbolic system of first order coherent differential equations.
T.I. Firman
doaj   +1 more source

A Unified Analytical Approach to Fixed and Moving Boundary Problems for the Heat Equation

open access: yesMathematics, 2021
Fixed and moving boundary problems for the one-dimensional heat equation are considered. A unified approach to solving such problems is proposed by embedding a given initial-boundary value problem into an appropriate initial value problem on the real ...
Marianito R. Rodrigo, Ngamta Thamwattana
doaj   +1 more source

A moving boundary model motivated by electric breakdown: II. Initial value problem [PDF]

open access: yes, 2009
An interfacial approximation of the streamer stage in the evolution of sparks and lightning can be formulated as a Laplacian growth model regularized by a 'kinetic undercooling' boundary condition.
Arrayás   +37 more
core   +4 more sources

Mathematical modeling of heat transfer in the film-substrate-thermostat system during heating of an electrically conductive film by a high-density pulse current

open access: yesЖурнал Средневолжского математического общества, 2021
Mathematical modeling of heat transfer in the film-substrate-thermostat system with a pulsed flow of high-density current through an electrically conductive film has been carried out.
Kuzmichev Nikolay D.   +3 more
doaj   +1 more source

Direct and inverse problems for thermal grooving by surface diffusion with time dependent Mullins coefficient

open access: yesMathematical Modelling and Analysis, 2021
We consider the Mullins’ equation of a single surface grooving when the surface diffusion is not considered as very slow. This problem can be formed by a surface grooving of profiles in a finite space region.
Mansur I. Ismailov
doaj   +1 more source

Asymptotics of solutions to the Navier-Stokes system in exterior domains [PDF]

open access: yes, 2013
We consider the incompressible Navier-Stokes equations with the Dirichlet boundary condition in an exterior domain of $\mathbb{R}^n$ with $n\geq2$. We compare the long-time behaviour of solutions to this initial-boundary value problem with the long-time ...
Amann   +29 more
core   +4 more sources

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