Results 21 to 30 of about 1,422,735 (373)

On initial-value and self-similar solutions of the compressible Euler equations [PDF]

open access: yes, 1996
We examine numerically the issue of convergence for initial-value solutions and similarity solutions of the compressible Euler equations in two dimensions in the presence of vortex sheets (slip lines).
Pullin, D. I., Samtaney, Ravi
core   +1 more source

Regularity of a inverse problem for generic parabolic equations [PDF]

open access: yes, 2007
The paper studies some inverse boundary value problem for simplest parabolic equations such that the homogenuous Cauchy condition is ill posed at initial time.
Beck J V   +7 more
core   +2 more sources

Initial-Boundary Value Problem for Two-Component Gerdjikov–Ivanov Equation with 3 × 3 Lax Pair on Half-Line [PDF]

open access: yes, 2017
The Fokas unified method is used to analyze the initial-boundary value problem of two-component Gerdjikov–Ivanonv equation on the half-line. It is shown that the solution of the initial-boundary problem can be expressed in terms of the solution of a 3 ...
Qiao-Zhen 巧珍 Zhu 朱   +2 more
semanticscholar   +1 more source

Initial-boundary value problem for distributed order time-fractional diffusion equations [PDF]

open access: yesAsymptotic Analysis, 2017
We examine initial-boundary value problems for diffusion equations with distributed order time-fractional derivatives. We prove existence and uniqueness results for the weak solution to these systems, together with its continuous dependency on initial ...
Zhi-yuan Li, Yavar Kian, É. Soccorsi
semanticscholar   +1 more source

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

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

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

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   +3 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

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