Results 11 to 20 of about 390,420 (212)
Local and Global Existence of Solution for Love Type Waves with Past History
Mathematics, 2020 In this paper, we consider an initial boundary value problem for nonlinear Love equation with infinite memory. By combining the linearization method, the Faedo–Galerkin method, and the weak compactness method, the local existence and uniqueness of weak ...
Mohamed Biomy +2 more
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Demonstratio Mathematica, 2021 We consider strong damped wave equation involving the fractional Laplacian with nonlinear source. The results of global solution under necessary conditions on the critical exponent are established.
Bidi Younes +3 more
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On the existence of global Tchebychev nets [PDF]
Transactions of the American Mathematical Society, 1995 Let S S be a complete, open simply connected surface.
Samelson, Sandra L., Dayawansa, W. P.
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Optimal version of the Picard–Lindelöf theorem
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Consider the differential equation $y'=F(x,y)$. We determine the weakest possible upper bound on $|F(x,y)-F(x,z)|$ which guarantees that this equation has for all initial values a unique solution, which exists globally.
Jan-Christoph Schlage-Puchta
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On a viscoelastic heat equation with logarithmic nonlinearity
Electronic Journal of Qualitative Theory of Differential Equations, 2022 This work deals with the following viscoelastic heat equations with logarithmic nonlinearity \begin{align*} u_t-\Delta u+\int_{0}^{t}g(t-s)\Delta u(s)ds=\vert u\vert^{p-2}u\ln\vert u\vert.
Nguyen Van Y, Nhan Le, Le Xuan Truong
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ON THE GLOBAL EXISTENCE OF TIME [PDF]
International Journal of Modern Physics D, 2009 The global existence of time is often taken for granted but should instead be considered for investigation. Using the tools of global Lorentzian geometry the author shows that, under physically reasonable conditions, the impossibility of finding a global time implies the singularity of space–time.
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Global existence and boundedness for quasi-variational systems
International Journal of Mathematics and Mathematical Sciences, 1999 We consider quasi-variational ordinary differential systems, which may be considered as the motion law for holonomic mechanical systems. Even when the potential energy of the system is not bounded from below, by constructing appropriate Liapunov ...
Giancarlo Cantarelli
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Global regularity of the 3D generalized MHD equations with only velocity dissipation
上海师范大学学报. 自然科学版, 2019 In this paper, we consider the global regularity of the three-dimensinal (3D) generalized magnetohydrodynamic (MHD) equations with only velocity dissipation in terms of fractional Laplacians. By the Galerkin approximation methods, the compactness and the
CAI Xiaojing, LIU Bingyu
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Global existence and regularity of solutions for active liquid crystals [PDF]
, 2017 We study the hydrodynamics of active liquid crystals in the Beris-Edwards hydrodynamic framework with the Landau-de Gennes Q-tensor order parameter to describe liquid crystalline ordering.
Chen, G-Q +12 more
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On the existence of global bisections of Lie groupoids [PDF]
Acta Mathematica Sinica, English Series, 2009 We show that every source connected Lie groupoid always has global bisections through any given point. This bisection can be chosen to be the multiplication of some exponentials as close as possible to a prescribed curve. The existence of bisections through more than one prescribed points is also discussed.
Zhong, Deshou, Chen, Zhuo, Liu, Zhangju
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