Sentence examples for by a hyperbolic second-order from inspiring English sources

Existing one-dimensional models of fixed-cavity and flexible-membrane plate-and-frame filtration based on compressible suspension theory, in which the cake concentration as a function of thickness and time is given by a hyperbolic second-order diffusion equation, are expanded here using a filtrate volume dependent feed concentration.

This system is described by a hyperbolic first order partial differential equation (PDE).

The paper deals with the study of the Cauchy problem for a class of hyperbolic second order operators with double characteristics in the presence of a transition.

We study symmetrization of hyperbolic first order systems.

Recently, another class of hyperbolic second order operators with double characteristics has been considered in [2].

Ikawa considered in [1] the mixed problem of a hyperbolic equation of second-order.

In [8] a linear second-order hyperbolic equation with forcing and integral constraints on the solution is converted to a nonlocal hyperbolic problem.

Many authors have extended the KBM method to investigate some physical and mechanical oscillating systems, modelled by either second-order hyperbolic type partial differential equations or certain partial differential equations with third-order time derivative.

The sensor delay effect is captured by a first-order hyperbolic PDE.

The extended relaxation system is hyperbolic and we develop a second-order semi-discrete central-upwind scheme for it.

The study of a second-order quasilinear hyperbolic equation is of keen interest in the fields like acoustics, electromagnetics, fluid dynamics, mathematical physics, engineering etc.