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We prove the existence of a weak solution for a generalized quantum MHD equation in a 2-dimensional periodic box for large initial data. The existence of a global weak solution is established through a three-level approximation,energy estimates, and weak convergence for the adiabatic exponent γ 1. 相似文献
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Mourad Kainane Mezadek Mohamed Kainane Mezadek Michael Reissig 《Mathematical Methods in the Applied Sciences》2020,43(6):3117-3147
In this paper, we study the global (in time) existence of small data solutions to the Cauchy problem for the semilinear wave equation with friction, viscoelastic damping, and a power nonlinearity. We are interested in the connection between regularity assumptions for the data and the admissible range of exponents p in the power nonlinearity. 相似文献
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针对授课班级出错率较高的一道曲面积分题目,给出四种解法.分析出错的原因在于练习不够外,主要是对重积分概念理解不够透彻. 相似文献
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A parallel is considered between Burnat's “algebraic” approach [restricted to a genuine nonlinearity] and Martin's “differential” approach regarding their contribution to describing some nondegenerate one-dimensional gasdynamic regular interaction solutions. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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An investigation is described for instability problem of flow through a.pipe of circular cross section. As a disturbance motion,
we consider an axisymmetric nonlinear mode. An associated amplitude or modulation equation has been derived for this perturbation.
This equation belongs to the diffusion type. The coefficient of it can be negative with Reynolds number increasing, because
of the complex interaction between molecular diffusion and convection. The negative diffusion, when it occurs, cause a concentration
and focusing of energy within the decaying slug, acting as a role of reversing natural decays. 相似文献
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A subtraction gameS=(s 1, ...,s k)is a two-player game played with a pile of tokens where each player at his turn removes a number ofm of tokens providedmεS. The player first unable to move loses, his opponent wins. This impartial game becomes partizan if, instead of one setS, two finite setsS L andS R are given: Left removes tokens as specified byS L, right according toS R. We say thatS L dominatesS R if for all sufficiently large piles Left wins both as first and as second player. We exhibit a curious property of dominance and provide two subclasses of games in which a dominance relation prevails. We further prove that all partizan subtraction games areperiodic, and investigatepure periodicity. 相似文献
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The paper provides the construction of association schemes on the sets of the maximal totally isotropic subspaces in singular classical spaces. All intersection numbers of these schemes are computed. 相似文献