Results 41 to 50 of about 1,483,225 (280)
The Initial-Boundary Value Problem for the Korteweg–de Vries Equation [PDF]
, 2005 We prove local well-posedness of the initial-boundary value problem for the Korteweg–de Vries equation on right half-line, left half-line, and line segment, in the low regularity setting. This is accomplished by introducing an analytic family of boundary
J. Holmer
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Asymptotics of solutions to the Navier-Stokes system in exterior domains [PDF]
, 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
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The initial boundary value problem of a mixed-typed hemivariational inequality
International Journal of Mathematics and Mathematical Sciences, 2001 A mixed-typed differential inclusion with a weakly continuous nonlinear term and a nonmonotone discontinuous nonlinear multi-valued term is studied, and the existence and decay of solutions are established.
Guo Xingming
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A new type of shooting method for nonlinear boundary value problems
Alexandria Engineering Journal, 2013 In this article we introduce a new type of iterative method for initial value problems (IVPs). We enhance this method by using shooting techniques and interpolation for the boundary value problems. Our method is more accurate and applicable than built in
Muhammad Ahsan, Sarah Farrukh
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The initial-boundary-value problem for the 1D nonlinear Schrödinger equation on the half-line [PDF]
Differential and Integral Equations, 2005 We prove, by adapting the method of Colliander-Kenig (9), local well- posedness of the initial-boundary value problem for the one-dimensional nonlinear Schrodinger equation i@tu+@ 2 xu+ u|u| 1 = 0 on the half-line under low boundary regularity ...
Justin Holmer
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Initial-boundary value problems for the defocusing nonlinear Schr\"odinger equation in the semiclassical limit [PDF]
, 2014 Initial-boundary value problems for integrable nonlinear partial differential equations have become tractable in recent years due to the development of so-called unified transform techniques.
Miller, Peter D., Qin, Zhenyun
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Известия Иркутского государственного университета: Серия "Математика"In this paper, we investigate the problem on small motions of a compressible ideal stratified fluid in a bounded domain. The problem is studied on the base of approach connected with application of so-called operator matrices theory, as well as abstract ...
D. O. Tsvetkov
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A parabolic differential equation with unbounded piecewise constant delay
International Journal of Mathematics and Mathematical Sciences, 1992 A partial differential equation with the argument [λt] is studied, where [•] denotes the greatest integer function. The infinite delay t−[λt] leads to difference equations of unbounded order.
Joseph Wiener, Lokenath Debnath
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 The inverse problem of finding the initial distribution has been studied on the basis of formulas for the solution of the first initial-boundary value problem for the inhomogeneous two-dimentional heat equation. The uniqueness of the solution of the direct
Artur R Zaynullov
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Initial boundary value problem for generalized Zakharov equations [PDF]
Applications of Mathematics, 2012 The authors consider the following generalized Zakharov system \[ \begin{cases} iE_t + \Delta E - H^2\Delta ^2E - nE &= 0 \\ n_{tt} - \Delta n + H^2\Delta ^2n - \Delta | E| ^2 &= 0, \end{cases} \] where \(H\) is a dimensionless parameter, \(E\: \mathbb {R}^{+}\times \Omega \to \mathbb {C}^2\) and \(n\: \mathbb {R}^{+}\times \Omega \to \mathbb {R ...
Shujun You, Boling Guo, Xiaoqi Ning
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