[PDF] Top 20 On the time dependent parabolic wave equation

... of wave propagation in a restricted domain is to approximate the reduced Helmholtz equation by a parabolic wave ...consider wave prop- agation in a restricted domain modelled by a ... See full document

... Long’s equation (Long, 1953, 1954, 1955, 1959) models the flow of inviscid stratified fluid in two dimensions over ter- ...this equation are in the form of steady lee ...this equation in various ... See full document

... single parabolic equation in the linear diffusion case (m = ) has been ...degenerate parabolic equations and system in [–] and the references ... See full document

... subsection 3.2 is devoted to proving these new uniqueness and conditional Lipschitz-type stability results given by Theorem 4 concerning the recovery of the space-dependent damp- ing coefficient. The proof is ... See full document

... In a recent paper [1] Payne and Schaefer have investi- gated the blow-up phenomena of solutions in some para- bolic systems of equations under homogeneous Dirichlet boundary conditions. The contribution of this note is ... See full document

... The paper is organized as follows. In Section 2, we present a theoretical framework for the approximation. Applications of this theory to a contaminated groundwater model and the Euler-Bernoulli beam equation is ... See full document

... relaxation time. Since the heat equation of this theory is of the wave type, it au- tomatically ensures finite speed of propagation for heat ...tion equation but also equation of ... See full document

... Motivated by [], we study in the present work the asymptotic behavior for system (.)- (.). Since the delay is dependent on time, this makes the work different from []. The main objective of the ... See full document

... Maxwell’s equations. Section 2 reviews the main prop- erties of KSS methods, including block KSS methods, as applied to the parabolic problems for which they were originally designed. Section 3 reviews their ... See full document

... inverse time independent source problem for a fractional diffusion equation is stud- ied and analytical solution can be obtained based on the method of the eigenfunction ...A time dependent in- ... See full document

... In this section we use the equations describing the time dependent fields inside the plasma to derive an integral equation relating the reflected wave to the plasma density.. The previou[r] ... See full document

... In this article we develop and implement a split region technique that solves the time-dependent acoustic wave equation with greatly increased efficiency. This method uses a sophisticated ... See full document

... in parabolic partial differen- tial equations has been investigated in various studies in the past, see ...heat equation in the case when the unknown thermal coefficients are constant [4], ... See full document

... We study the backward problem with time-dependent coe ffi cient which is a severely ill-posed problem. We regularize this problem by combining quasi-boundary value method and quasi- reversibility method and ... See full document

... We consider the problem of identifying the pollution source of a 1D parabolic equation from the initial and the final data. The problem is ill posed and regularization is in order. Using the quasi-boundary ... See full document

... the time-dependent thermal diffusivity and the temperature distribution in a parabolic equation in the case of nonlocal boundary conditions containing a real parameter and integral ... See full document

... The parabolic equation (PE) method was introduced by Leontovich and Fock in the 1940s ...of wave refraction and diffraction and give a more accurate solution for the field in the presence of ... See full document

... the time-dependent modes of an astigmatic two-mirror cavity that is rotating at a uniform velocity about its optical ...a wave equation, the concept of a mode requires special atten- tion in ... See full document

... linear time-fractional parabolic equation, we mean a certain parabolic-like partial differential equation governed by master equations containing fractional derivatives in time ... See full document

... → , (8) for 0 < γ ( ) t ∈ H , where H -Hardy’s body [2], c c 1 , 2 are constants. In this case, it is easy to show that system (1) becomes a self-similar for a sufficient large t. Therefore it is possible to consider ... See full document