The Infinite Propagation Speed and the Limit Behavior for the B-family Equation with Dispersive Term
نویسندگان
چکیده
In this paper, we study the infinite propagation speed and the limit behavior for the b-family equation with dispersive term. We prove that any nontrivial classical solution of the b-family equation with dispersive term will not have compact support if its initial data has this property. The issue of passing to the limit as the dispersive parameter tends to zero for the solution of the b-family equation with dispersive term is investigated, and we get the solution converges to that of b-family equation.
منابع مشابه
Investigation of Pressure Pulse Distribution in Porous Media
Diffusivity equation commonly used for pressure distribution prediction in porous media results from substituting equation of state and continuity equation in Navier-Stokes momentum equation. From mathematical point of view this equation format shows infinite propagation speed for pressure pulse through porous media, which is physically impossible. This issue may caused by numerous assumption...
متن کاملRigidity and Irregularity Effect on Surface Wave Propagation in a Fluid Saturated Porous Layer
The propagation of surface waves in a fluid- saturated porous isotropic layer over a semi-infinite homogeneous elastic medium with an irregularity for free and rigid interfaces have been studied. The rectangular irregularity has been taken in the half-space. The dispersion equation for Love waves is derived by simple mathematical techniques followed by Fourier transformations. It can be seen t...
متن کاملA Higher Order B-Splines 1-D Finite Element Analysis of Lossy Dispersive Inhomogeneous Planar Layers
In this paper we propose an accurate and fast numerical method to obtain scattering fields from lossy dispersive inhomogeneous planar layers for both TE and TM polarizations. A new method is introduced to analyze lossy Inhomogeneous Planar Layers. In this method by applying spline based Galerkin’s method of moment to scalar wave equation and imposing boundary conditions we obtain reflection and...
متن کاملDynamic Coupled Thermo-Viscoelasticity of a Spherical Hollow Domain
The generalized coupled thermo-viscoelasticity of hollow sphere subjected to thermal symmetric shock load is presented in this paper. To overcome the infinite speed of thermal wave propagation, the Lord-Shulman theory is considered. Two coupled equations, namely, the radial equation of motion and the energy equation of a hollow sphere are obtained in dimensionless form. Resulting equations are ...
متن کاملStudy of Solute Dispersion with Source/Sink Impact in Semi-Infinite Porous Medium
Mathematical models for pollutant transport in semi-infinite aquifers are based on the advection-dispersion equation (ADE) and its variants. This study employs the ADE incorporating time-dependent dispersion and velocity and space-time dependent source and sink, expressed by one function. The dispersion theory allows mechanical dispersion to be directly proportional to seepage velocity. Initial...
متن کامل