Wave equationIn this paper, we obtain an energy estimate for wave equations with coefficients satisfying Besov type conditions. We give an example of a wave equation with continuous and nowhere differentiable coefficients for which the L2 estimate holds.Tarama...
We provide a mild solution for the wave equation in terms its Fourier expansion. We calculate the expected energy and give asymptotic results for the expected energy for large and small times and as the Hurst parameter, H, approaches 1/2. These results are phrased in terms of the norms of...
Weighted energy estimates including the Keel, Smith and Sogge estimate is obtained for solutions of exterior problem of the wave equation in three or higher dimensional Euclidean spaces. For the solutions of the Cauchy problem, which is corresponding to the free system in scattering theory, the est...
Mean significant wave height is calculated from the three physical parameters such as (1) wave height (H), (2) seawater density (ρ), and (3) gravity (g) using the wave energy equation (E = 1/8 ρgH2). Wave energy increases as the square of the wave height and it is able to ...
Furthermore, the concavity arguments are used to prove the nonexistence of solutions; at the same time, an estimate of the upper bound of blow-up time is also obtained. This result extends and improves those of [, ].关键词: Viscoelastic hyperbolic equation Energy estimate method High initial ...
Also [7] considered a damped Klein–Gordon equation in a non-cylindrical domain and obtained the existence of global solutions and the exponential decay of energy. But if the medium of vibration is nonhomogeneous, or if general curvilinear coordinates are used, then the matrix A(x) will not ...
Bourgain, J., Bulut, A.: Invariant Gibbs measure evolution for the radial nonlinear wave equation on the 3d ball. J. Funct. Anal. 266(4), 2319–2340 (2014) MathSciNet Google Scholar Bringmann, B.: Almost-sure scattering for the radial energy-critical nonlinear wave equation in three ...
R Gharbi - 《Energy & Fuels》 被引量: 53发表: 1997年 Inverse/observability estimates for Schrödinger equations with variable coefficients We consider a general Schroedinger equation defined on an open bounded domain [Omega is a subset of R^n] with variable coefficients in both the elliptic pr...
The new discretization of (()x)x has general applicability, and will enable stable fourth order accurate approximations of other partial differential equations as well as the elastic wave equation. 展开 关键词: elastic wave equation finite difference scheme summation by parts stability energy estimate...
Bi et al. (2015) reported that ST6 slightly better estimate swell dissipation. They showed that ST2 (ST6) overestimated (underestimated) wave energy in tropical and subtropical environments, and ST4 resulted in the best agreement with NDBC-buoy data in the Pacific Ocean. Christakos et al. (...