Further, an attention is called to the fact that the parabolic diffusion is not an unique interpretation, but also the wave (or hyperbolic) equation can be deduced. It depends on the accepted scale of the length of step h and duration of the step 蟿 in the walk, whether Fick--...
A unified way to solve IVPs and IBVPs for the time-fractional diffusion-wave equation The time-fractional diffusion-wave equation is revisited, where the time derivative is of order 2 u 2 u and 0 < u \\le 1 0 < u \\le 1 . The behaviour of the equation is "diffusion-like" (...
The origin of non self-similar blow-up in higher-order reaction-diffusion (parabolic), wave (hyperbolic) and nonlinear dispersion equations is explained by a combination of various methods. Some links and similarities with double-log blow-up terms occurring in earlier studies of plasma physics seco...
A. Chen and C. P. Li, Numerical solution of fractional diffusion-wave equation, Numer. Func. Anal. Opt. 37 (1) (2016), pp. 19-39.Chen, A, Li, CP: Numerical solution of fractional diffusion-wave equation. Numer. Funct. Anal. Optim. 37(1), 19-39 (2016)...
Structure-from-Motion (SfM) 和SLAM(Simultaneous Localization and Mapping): 这些方法旨在从大量无序或有序图像中恢复相机姿态和场景几何。经典的SfM方法依赖于在重叠图像之间找到特征点的对应关系,然后通过捆绑调整(Bundle Adjustment)来优化这些对应关系以获得一致的相机姿态。
Weak solutions to quasilinear wave equations of Klein-Gordon or Sine-Gordon type and relaxation to reaction-diffusion equations This paper regards the existence of weak solutions for a quasilinear wave equation of Klein-Gordon and Sine-Gordon type with the presence of a linear dampi... B Rubino...
Diffusion phenomena for the wave equation with space-dependent damping term growing at infinity In this paper, we study the asymptotic behavior of solutions to the wave equation with damping depending on the space variable and growing at the spatial infinity. We prove that the solution is approxima...
The One-Dimensional Wave Equation Joel Smoller Pages 17-25 Uniqueness and Energy Integrals Joel Smoller Pages 26-32 Holmgren’s Uniqueness Theorem Joel Smoller Pages 33-38 An Initial-Value Problem for a Hyperbolic Equation Joel Smoller Pages 39-44 Distribu...
The spatial field distribution has a correlation length of half the wavelength, λ/217,18, and provides a fingerprint of the wave interaction with the material. Averaging such speckle patterns over an ensemble of random sample realizations yields a smooth profile of particle or energy density16. ...
A diffusion wave refers to a well-developed area of research that studies the qualitative properties of travelling waves for the scalar reaction-diffusion equation and for systems of equations, with applications in physics, chemistry, biology, and medicine. ...