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本文考察一类具耗散的广义KdV方程组■ (gradφ(■))_x ■_(xxx)-α■_(xx) γ■ =■(x,t,■)的周期初值问题的显式差分格式.利用有界延拓法证明了该差分格式的收敛性与稳定性,并给出了算法和数值例子. 相似文献
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利用有界延拓法,研究了非线性Klein-Gordon方程初边值问题的“蛙跳”差分解的收敛性与稳定性。避免了校难的先验估计,并放宽了非线 性项的条件。 相似文献
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In this paper, we consider the stochastic version of the 3D Bardina model arising from the turbulent flows of fluids. We obtain the existence of probabilistie weak solution for the model with the non-Lipschitz condition. 相似文献
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该文研究三维具有分数阶耗散项的广义MHD方程,得到了在负指标齐次Besov空间意义下速度场u与磁场b和的正则性准则,推广了已有结论.另外,该文还得到了三维分数阶耗散广义Boussinesq方程光滑解关于速度梯度的一个正则性准则. 相似文献
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In this paper, a Riesz space fractional advection-dispersion equation with fractional Robin boundary condition is considered. By applying the fractional central difference formula and the weighted and shifted Gru¨nwald-Letnikov formula, we derive a weighted implicit finite difference scheme with accuracy O(?t2+ h2). The solvability,stability, and convergence of the proposed numerical scheme are proved. A numerical example is presented to confirm the accuracy and efficiency ... 相似文献
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The following initial-boundary value problem for the systems with multidimensional inhomogeneous generalized Benjamin-Bona-Mahony ( GBBM ) equations is reviewed. The existence of global attractors of this problem was proved by means of a uniform priori estimate for time. 相似文献
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研究一类多维非齐次广义Benjamin-Bona-Mahony(GBBM)方程的初值边界问题,利用Sobolev插值不等式,做关于时间的一致性先验估计,证明该问题的整体吸引子的存在性. 相似文献
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研究了在分子晶体中的一类广义非线性Schroedinger方程组的初边值问题.应用先验估计的方法,得到了整体解的存在性. 相似文献
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EXACT TRAVELING WAVE SOLUTIONS OF MODIFIED ZAKHAROV EQUATIONS FOR PLASMAS WITH A QUANTUM CORRECTION*
In this article,the authors study the exact traveling wave solutions of modified Zakharov equations for plasmas with a quantum correction by hyperbolic tangent function expansion method,hyperbolic seca... 相似文献