[PDF] Top 20 Time-dependent Long’s equation

... 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 ... See full document

... Vries–Burgers equation [1–3]. The equation describes the mathematical modeling of liquid flow in a bubble and the liquid flow in an elastic pipeline ... See full document

... All simulations are run under the same constraints and initial conditions to illustrate similarities and differences in the particle’s position over time. The free particle simulations show differences in position ... See full document

... in Equation (5) is limited to fourteen the agreement between the exact/numeric and approximate results are quite ac- ...the long range of the t-axis the positive amplitude of the approximated method ... See full document

... and time maps [6, 7], and the Manásevich–Mawhin continuation theorem [8–10] have been employed to investigate the existence of a periodic solution of Rayleigh ... See full document

... with time-dependent thermal conductiv- ity coefficient is very ...the time-dependent thermal conduc- tivity ...the time- and space- dependent thermal conductivity ax, ... See full document

... of time stepping methods for time-dependent differential ...integral equation reformulation, producing a highly accurate and stable representation, which is then solved via the deferred ... See full document

... The time evolution of Hamiltonian is essentially a symplectic ...the time-steeping strategies designed to preserve the global symplectic structure of the phase space of a Hamiltonian ...a long-term ... See full document

... Chen, C, Wang, H, Zhu, S: Global attractor and decay estimates of solutions to a class of nonlinear evolution equations.. Conti, M, Marchini, EM, Patta, V: A well posedness result for no[r] ... See full document

... wetness equation does not require any iteration during the solution procedure in order to conserve moisture ...implicit time integration in a straightforward ...large time step sizes can be utilized ... See full document

... Many authors considered the uniqueness and stability conditions of the determination of the heat source under this separate form. In spite of the uniqueness and stability results, the regularization problem for unstable ... See full document

... If we consider the expressions (2.3), (2.4) and (2.5), it’s clearly shown that the con- cept of the reduced differential transform is derived from the power series expansion. So, we give a table which included ... See full document

... In this paper, we consider the stability for the nonlinear Schrödinger equation (.) of Hartree type under the perturbation of coefficients. We first obtain the Lipschitz con- tinuity of the solution u = u(α, β) ... See full document

... relaxation time-dependent term in the energy equation to evade the paradox of heat conduction ...of time-dependent relaxation to the energy equation converts the parabolic ... See full document

... Fourier's equation of heat conduction with time dependent ambient temperature and space and time dependent source distribution is treated by a Laplace transformation with respect to time[r] ... See full document

... wave equation analogous to that provided by Kravtsov for the reduced Helmholtz ...wave equation are considered in the context of the parabolic wave equation for both caustic and noncaustic ... See full document

... describes time-dependent behavi- our of K4 ketchup during rather long time of shear (3000 s) and decreasing values of viscosity and shear stress at constant shear ...Ideally, ... See full document

... an equation is developed that applies to a reactor system with equal diffusion coeffi­ cients and equal thermal neutron diffusion lengths,Finally, an analysis is given that states the relation between the albedo ... See full document

... In measuring the scission neutrons experimentally, the information on their angular distribution is essential. The emission of scission neutron is normally supposed to be isotropic in the rest frame of the mother nucleus ... See full document

... In this paper a deterministic fuzzy inventory model for time dependent deteriorating items with lead time and stock dependent demand rate has been developed. The ordering cost, deterioration ... See full document