Results 21 to 30 of about 1,211,636 (285)
Light-Front Quantisation as an Initial-Boundary Value Problem
In the light front quantisation scheme initial conditions are usually provided on a single lightlike hyperplane. This, however, is insufficient to yield a unique solution of the field equations.
C. Dietmaier +35 more
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Sources of quantum waves [PDF]
Due to the space and time dependence of the wave function in the time dependent Schroedinger equation, different boundary conditions are possible. The equation is usually solved as an ``initial value problem'', by fixing the value of the wave function in
A D Baute +23 more
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Integrable initial-boundary-value problems
Latex file, The talk on the International Conference: Nonlinear Physics: Theory and Experiment, II Gallipoli, Lecce, (Italy) June 27-July 6 ...
openaire +3 more sources
Asymptotics of solutions to the Navier-Stokes system in exterior domains [PDF]
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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We show local existence and uniqueness of plasma(fluid)-vaccum free boundary problem of magnetohydrodynamic flow in three-dimensional space with infinite depth setting when magnetic field is zero on the free boundary.
Lee, Donghyun
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Symmetry Analysis of Initial and Boundary Value Problems for Fractional Differential Equations in Caputo sense [PDF]
In this work we study Lie symmetry analysis of initial and boundary value problems for partial differential equations (PDE) with Caputo fractional derivative.
Iskenderoglu, Gulistan, Kaya, Dogan
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Mixed Initial-Boundary Value Problem for the Capillary Wave Equation
We study the mixed initial-boundary value problem for the capillary wave equation: iut+u2u=∂x3/2u, t>0, x>0; u(x,0)=u0(x), x>0; u(0,t)+βux(0,t)=h(t), t>0, where ∂x3/2u=(1/2π)∫0∞signx-y/x-yuyy(y) dy.
B. Juarez Campos +2 more
doaj +1 more source
A new type of shooting method for nonlinear boundary value problems
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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Initial-boundary value problems for the defocusing nonlinear Schr\"odinger equation in the semiclassical limit [PDF]
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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Semigroups for Initial-Boundary Value Problems
We review the theory of one-sided coupled operator matrices with a focus on evolution equations with inhomogeneous boundary conditions. (The original article had no abstract.)
Kramar, Marjeta +2 more
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