Results 11 to 20 of about 6,942,026 (258)
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, Gui-Qiang +3 more
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Inhomogeneous parabolic equations on unbounded metric measure spaces [PDF]
, 2012 We study the inhomogeneous semilinear parabolic equation ut = Δu + up + f(x), with source term f independent of time and subject to f(x) ≥ 0 and with u(0, x) = φ(x) ≥ 0, for the very general setting of a metric measure space. By establishing Harnack-type
Hu, Jiaxin +6 more
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Uniform boundedness and extinction results of solutions to a predator–prey system
Electronic Journal of Qualitative Theory of Differential Equations, 2020 Global existence, positivity, uniform boundedness and extinction results of solutions to a system of reaction-diffusion equations on unbounded domain modeling two species on a predator–prey relationship is considered.
Mokhtar Kirane +2 more
doaj +1 more source
Global existence for rate-independent gradient plasticity at finite strain [PDF]
, 2008 We provide a global existence result for the time-continuous elastoplasticity problem using the energetic formulation. For this we show that the geometric nonlinearities via the multiplicative decomposition of the strain can be controlled via ...
Mainik, Andreas, Mielke, Alexander
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Existence and stability results of a nonlinear Timoshenko equation with damping and source terms [PDF]
Theoretical and Applied Mechanics, 2021 In this paper, we consider a nonlinear Timoshenko equation. First, we prove the local existence solution by the Faedo–Galerkin method, and, under suitable assumptions with positive initial energy, we prove that the local existence is global in time ...
Ouaoua Amar, Khaldi Aya, Maouni Messaoud
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Global existence and finite time blow-up of solutions to a nonlocal p-Laplace equation
Mathematical Modelling and Analysis, 2019 In this paper a class of nonlocal diffusion equations associated with a p-Laplace operator, usually referred to as p-Kirchhoff equations, are studied.
Jian Li, Yuzhu Han
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Global existence result for thermoviscoelastic problems with hysteresis [PDF]
, 2011 International audienceWe consider viscoelastic solids undergoing thermal expansion and exhibiting hysteresis effects due to plasticity or phase transformations. Within the framework of generalized standard solids, the problem is described in a 3D setting
Adrien Petrov +3 more
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, 2004 This paper deals with existence and non-existence of global solutions of certain fast-slow diffusion systems with nonlinear boundary conditions. Necessary and sufficient conditions for global existence of positive solutions are obtained in terms of ...
Qi, Yuanwei, Wang, Mingxin, Wang, Zejun
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Advances in Nonlinear Analysis, 2020 In this paper, we study the fractional p-Laplacian evolution equation with arbitrary initial energy,
Liao Menglan, Liu Qiang, Ye Hailong
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Fractal and Fractional, 2023 In this paper, we consider a time fractional diffusion system with a nonlinear memory term in a bounded domain. We mainly prove some blow-up and global existence results for this problem. Moreover, we also give the decay estimates of the global solutions.
Quanguo Zhang, Yaning Li
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