Results 1 to 10 of about 1,483,225 (280)

Sources of quantum waves [PDF]

, 2000
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, Allcock G R, Baute A D, Baute A D, Baute A D, Baute A D, Egusquiza I L, Egusquiza I L, Faddeev L, Galapon E A, Galapon E A, I L Egusquiza, J G Muga, Mangin-Brinet M, Marinov M S, Marinov M S, Moretti P, Muga J G, Muga J G, Muga J G, Newton R G, Srinivas M D, Stevens K, Stevens K   +23 more
core   +2 more sources

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

Mathematical 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

The Initial Boundary Value Problem for the Boltzmann Equation with Soft Potential [PDF]

Archive for Rational Mechanics and Analysis, 2016
Boundary effects are central to the dynamics of the dilute particles governed by the Boltzmann equation. In this paper, we study both the diffuse reflection and the specular reflection boundary value problems for the Boltzmann equation with a soft ...
Shuangqiang Liu, Xiongfeng Yang
semanticscholar   +1 more source

Integrable initial-boundary-value problems

Theoretical and Mathematical Physics, 1991
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

Semigroups for Initial-Boundary Value Problems

, 2003
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, Mugnolo, Delio, Nagel, Rainer   +2 more
openaire   +2 more sources

Light-Front Quantisation as an Initial-Boundary Value Problem

, 1993
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, E. Werner, F.G. Friedlander, G. Domokos, G. McCartor, G.'t Hooft, H. Leutwyler, H.C. Pauli, I.M. Gelfand, I.S. Gradshteyn, J. Schwinger, J.D. Bjorken, J.M. Namys?owski, K. Sundermeyer, L. Banyai, L. Faddeev, N.N. Bogolubov, P. Jordan, P.A.M. Dirac, P.A.M. Dirac, P.M. Morse, R. Courant, R. Jackiw, R.A. Neville, R.J. Perry, S. Fubini, S. Schlieder, S. Schweber, S.J. Chang, S.J. Chang, T. Heinzl, T. Heinzl, T. Heinzl, T. Heinzl, T. Myint-U, T. Suzuki   +35 more
core   +1 more source

Initial value problem for the free boundary magnetohydrodynamics with zero magnetic boundary condition

, 2017
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
core   +1 more source

Stable radiation-controlling boundary conditions for the generalized harmonic Einstein equations [PDF]

, 2006
This paper is concerned with the initial-boundary value problem for the Einstein equations in a first-order generalized harmonic formulation. We impose boundary conditions that preserve the constraints and control the incoming gravitational radiation by ...
Alcubierre M, Alekseenko A, Bona C, Boyle M Lindblom L Pfeiffer H P Scheel M A Kidder L E, Buchman L T Sarbach O C A, Gundlach C, Hearn A C, Kreiss H O, Kreiss H O, Kreiss H O, Kreiss H O, Lindblom L, Majda A, Nagy G, O Rinne, Pretorius F, Rinne O, Rinne O, Secchi P, Stewart J M, Tarfulea N   +20 more
core   +2 more sources

Mixed Initial-Boundary Value Problem for the Capillary Wave Equation

Advances in Mathematical Physics, 2016
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∞sign⁡x-y/x-yuyy(y) dy.
B. Juarez Campos, Elena Kaikina, Hector F. Ruiz Paredes   +2 more
doaj   +1 more source

A Two-Dimensional Nonlocal Fractional Parabolic Initial Boundary Value Problem

Axioms
In this paper, we investigate a two-dimensional singular fractional-order parabolic partial differential equation in the Caputo sense. The partial differential equation is supplemented with Dirichlet and weighted integral boundary conditions.
Said Mesloub, Eman Alhazzani, Hassan Eltayeb Gadain   +2 more
doaj   +1 more source