For general time-varying electromagnetic fields, when there are no substantially fast-moving components, Maxwell's equations in differential form can be written as (1,6,62–66) [4]∇×H=J+∂D∂t(fromAmpere'slaw) [5]∇×E=−∂B∂t(fromFaraday'slaw) [6]∇·B=0(fromGauss...
The term “equation” is also used in other natural sciences in a sense different from’ that above. Relevant examples are the time equation in astronomy, the equation of state in physics, chemical equations, Maxwell’s equations in electrodynamics, and the Boltzmann kinetic equation in the theor...
Explore forces in physics. Learn the definition of force and understand the different types of forces. Discover examples of forces and see their...
How do you calculate power in physics? Power can be calculated in two main ways. The first is to divide the work done by the time it took. The second is to multiply the force by the velocity. What is the formula for power in watts? The formula for power in watts is given by the...
The periodic Hunter–Saxton equation is a nonlinear partial differential equation that arises in the study of the geometry of curves. The equation is difficult to solve using traditional methods, but the Lie symmetry method has proven to be a powerful tool for finding exact solutions. Using this...
AM Dziewonski,AL Hales,ER Lapwood - 《Physics of the Earth & Planetary Interiors》 被引量: 865发表: 1975年 Least-squares wave-equation migration for AVP/AVA inversion We present an acoustic migration/inversion algorithm that uses extended double-square-root wave-equation migration and modeling ...
We establish conditions for the unique solvability of the inverse problem of determination of timedependent parameters in the coefficient of an unknown function in a one-dimensional parabolic equation in the domain with free boundary.doi:10.1007/s10958-014-2089-3Snitko...
The Boltzmann equation, also known as the Boltzmann transport equation describes the statistical distribution of particles in a fluid. It is an equation for the time evolution of f(r,c,t), the particle distribution function in the phase space. Phase space can be viewed as a space in which ...
The known factor T0 is the traveltime solution in a homogeneous isotropic model given as: (10.6)T0(x,z)=x−xs2+(z−zs)2vs, where vs is taken to be the velocity at the point-source location. Eq. (10.4) is the factored eikonal equation for an isotropic medium; however, sedimentary...
If you assume continuity, you can open the well-stocked mathematical toolkit of continuous functions and differential equations, the saws and hammers of engineering and physics for the past two centuries (and the foreseeable future). — Benoît Mandelbrot ...