Results 31 to 40 of about 8,296,108 (395)
The Non-Linear Fokker–Planck Equation in Low-Regularity Space
Mathematics, 2022 We construct the global existence and exponential time decay rates of mild solutions to the non-linear Fokker–Planck equation near a global Maxwellians with small-amplitude initial data in the low regularity function space Lk1LT∞Lv2 where the regularity ...
Yingzhe Fan, Bo Tang
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Global Existence Results and Uniqueness for Dislocation Equations [PDF]
, 2008 We are interested in nonlocal Eikonal Equations arising in the study of the dynamics of dislocations lines in crystals. For these nonlocal but also non monotone equations, only the existence and uniqueness of Lipschitz and local-in-time solutions were ...
Cannarsa P. +9 more
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Nonautonomous Dynamical Systems, 2020 In this paper, we study the global existence of solutions to some semilinear integro-differential evolution equations in Hilbert spaces with sign-varying kernels.
Jin Kun-Peng, Liang Jin, Xiao Ti-Jun
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Global existence of solutions of differential inclusions
Journal of Mathematical Analysis and Applications, 1992 AbstractIn this paper we consider sufficient conditions for global existence of solutions to a differential inclusion, dxdt ϵ F(t, x), assuming existence of local solutions to it by means of Lyapunov's second method. Our theorem includes as special cases S. W. Seah's theorems (1982, J. Math. Anal. Appl. 89, 648–663).
Takeshi Taniguchi
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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 solvability of a chemotaxis-haptotaxis model in the whole 2-d space
Mathematical Biosciences and Engineering, 2023 This paper investigates a two-dimensional chemotaxis-haptotaxis model $ \begin{eqnarray*} \left\{\begin{array}{lll} u_t = \Delta u-\chi\nabla\cdot(u\nabla v)-\xi\nabla\cdot(u\nabla w),&{} x\in\mathbb{R}^2,\ t>0,\\ v_t = \Delta v-v+u ...
Meng Liu, Yuxiang Li
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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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Global Existence of Near-Affine Solutions to the Compressible Euler Equations [PDF]
Archive for Rational Mechanics and Analysis, 2017 We establish the global existence of solutions to the compressible Euler equations, in the case that a finite volume of ideal gas expands into a vacuum.
S. Shkoller, T. Sideris
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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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Communications in Analysis and Mechanics, 2023 In this article, we investigate the initial-boundary value problem for a class of finitely degenerate semilinear parabolic equations with singular potential term.
Huiyang Xu
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