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 convergence rates to a chemotaxis-fluids system with mixed boundary conditions
Journal of Differential Equations, 2019 In this paper, we investigate the large time behavior of strong solutions to a chemotaxis-fluids system in an unbounded domain with mixed boundary conditions.
Yingping Peng, Zhaoyin Xiang
semanticscholar +1 more source
Global Existence Analysis of Cross-Diffusion Population Systems for Multiple Species [PDF]
, 2016 The existence of global-in-time weak solutions to reaction-cross-diffusion systems for an arbitrary number of competing population species is proved. The equations can be derived from an on-lattice random-walk model with general transition rates.
Xiuqing Chen, Esther S. Daus, A. Jüngel
semanticscholar +1 more source
Global existence and decay estimate of solutions to magneto-micropolar fluid equations
Journal of Differential Equations, 2019 We are concerned with magneto-micropolar fluid equations (1.3) – (1.4) . The global existence of solutions to the Cauchy problem is investigated under certain conditions. Precisely, for the magneto-micropolar-Navier–Stokes (MMNS) system, we obtain global
Zhong Tan, Wenpei Wu, Jianfeng Zhou
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Global existence for coupled Klein-Gordon equations with different speeds [PDF]
, 2010 Consider, in dimension 3, a system of coupled Klein-Gordon equations with different speeds, and an arbitrary quadratic nonlinearity. We show, for data which are small, smooth, and localized, that a global solution exists, and that it scatters.
Germain, Pierre
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Global existence for semilinear reaction-diffusion systems on evolving domains [PDF]
, 2010 We present global existence results for solutions of reaction-diffusion systems on evolving domains. Global existence results for a class of reaction-diffusion systems on fixed domains are extended to the same systems posed on spatially linear ...
A Comanici +26 more
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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 for quasilinear wave equations close to Schwarzschild [PDF]
Communications in Partial Differential Equations, 2016 In this article, we study the quasilinear wave equation where the metric is close (and asymptotically equal) to the Schwarzschild metric . Under suitable assumptions of the metric coefficients, and assuming that the initial data for u is small enough, we
Hans Lindblad, M. Tohaneanu
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Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption [PDF]
, 2016 This paper deals with the homogeneous Neumann boundary-value problem for the chemotaxis-consumption system \begin{eqnarray*} \begin{array}{llc} u_t=\Delta u-\chi\nabla\cdot (u\nabla v)+\kappa u-\mu u^2,\\ v_t=\Delta v-uv, \end{array} \end{eqnarray*} in $
J. Lankeit, Yulan Wang
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ON THE EXISTENCE OF A GLOBAL NEIGHBOURHOOD [PDF]
Glasgow Mathematical Journal, 2015 AbstractSuppose that a complex manifoldMis locally embedded into a higher-dimensional neighbourhood as a submanifold. We show that, if the local neighbourhood germs are compatible in a suitable sense, then they glue together to give a global neighbourhood ofM.
Coates, T, Iritani, H
openaire +4 more sources