Find whether the equation has one solution, no solution, or an infinite number of solutions. {eq}\displaystyle \dfrac 1 4 (2 x - 1) = \dfrac 1 2 x + \dfrac 3 8 {/eq} Solving Equations: In solving equations, we can encounter equations ...
A compactness result for solutions to an equation with C^0 condition 来自 Semantic Scholar 喜欢 0 阅读量: 2 作者: SS Bahoura 摘要: We give a blow-up behavior for solutions to a variational problem with continuous regular weight (not Lipschitz and not Holderian in one point of the ...
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The left-hand side terms of the equation represent local variation of the velocity field and its convection. The terms on the right represent the diffusion term, pressure (or internal source term), and gravity in conjunction with external sources respectively. NS equations are often solved with ...
This note studies the Schrödinger–Choquard equation with an inhomogeneous combined source term and a fractional Laplacian operator iu˙−(−Δ)su=±|x|b|u|2(p−1)u±(Iα∗|u|q)|u|q−2u. Indeed, for b≠0 and 0<s<1, one obtains a sharp threshold of global existence ver...
. This allows us to rewrite the energy conservation equation as (1.12)Tρs˙=−∇·q→+r Remark One can decompose strain and stress tensors into spherical (index S) and deviatoric (index D) parts where tr D stands for the trace of the tensor D: ε=εS+εD,σ=σS+σD,withε...
A generalization of the Korteweg-de Vries equation to the weakly one-dimensional case is considered. It is shown that with positive dispersion, the equation has a solution in the form of a two-dimensional steady-state solitary wave, an extraordinary soliton. A method of numerical solution employi...
To solve an equation of the form x + a = b A true equation 16 16 Solve: Solution: Example 3 Subtract from each side. Rewrite and with a common denominator. 17 17 The solution is . Example 3 – Solution cont’d 18 18 OBJECTIVE C To solve an equation of the form ax = b 19 19...
Is it possible either equation (A) or (B) predicts the critical temperature? Solution The maximum temperature at which a gas can be liquefied by increasing the pressure is known as critical temperature. In other words, the gas with a temperature greater than critical temperature cannot be ...
Due to its simplicity, we can easily find a numerical scheme to approximate the solution to this equation. Consider that we have a discrete Cartesian grid, with points separated by the quantity hi in each of the d dimensions of our problem. Consider also a canonical base vi, the value of...