Results 31 to 40 of about 2,437,712 (232)
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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Global existence of small-norm solutions in the reduced Ostrovsky equation [PDF]
, 2013 We use a novel transformation of the reduced Ostrovsky equation to the integrable Tzitz\'eica equation and prove global existence of small-norm solutions in Sobolev space $H^3(R)$.
Grimshaw, Roger, Pelinovsky, Dmitry
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The existence of a compact global attractor for a class of competition model
AIMS Mathematics, 2021 This paper is concerned with the existence of a compact global attractor for a class of competition model in n−dimensional (n ≥ 1) domains. Using mathematical induction and more detailed interpolation estimates, especially Gagliardo-Nirenberg inequality,
Yanxia Wu
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BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER-ORDER KIRCHHOFF-TYPE EQUATIONS WITH VARIABLE EXPONENTS [PDF]
Journal of Mahani Mathematical Research, 2022 This paper is concerned with the blow-up and global existence of solutions for Higher-Order Kirchhoff-Type Equations with variable exponents. Under suitable assumptions, we prove some finite time blow-up results for certain solutions with positive ...
Fortuné Dohemeto +2 more
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On a price formation free boundary model by Lasry & Lions: The Neumann problem [PDF]
, 2011 We discuss local and global existence and uniqueness for the price formation free boundary model with homogeneous Neumann boundary conditions introduced by Lasry & Lions in 2007.
Caffarelli, Luis A. +2 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
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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 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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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
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Non-existence of global transverse Poincaré sections [PDF]
Journal of Geometry and Physics, 2021 We study global transverse Poincar sections and give topological conditions for their existence, showing they never exist in many important cases. We prove that an energy hypersurface possessing global transverse Poincar section is equivalent to the hypersuface having a cosymplectic structure.
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