Results 91 to 100 of about 2,437,712 (232)

The Global Existence Problem in General Relativity [PDF]

, 2004
We survey some known facts and open questions concerning the global properties of 3+1 dimensional spacetimes containing a compact Cauchy surface. We consider spacetimes with an $\ell$-dimensional Lie algebra of space-like Killing fields. For each $\ell \leq 3$, we give some basic results and conjectures on global existence and cosmic censorship.
openaire   +2 more sources

Global existence of semilinear system of Klein-Gordon equations in anti-de Sitter spacetime

Demonstratio Mathematica
In this article, we consider the initial value problem for a system of Klein-Gordon equations in anti-de Sitter spacetime. We assume that the mass matrix is diagonalizable with positive eigenvalues.
Yazıcı Muhammet
doaj   +1 more source

Global Existence of Bounded Solutions for Eyring–Powell Flow in a Semi-Infinite Rectangular Conduct [PDF]

, 2022
Saeed Ur Rahman, José Luis Díaz Palencia, Nomaq Tariq, P. Sánchez, Julián Roa González   +4 more
openalex   +1 more source

Existence of global solutions to reaction-diffusion systems with nonhomogeneous boundary conditions via a Lyapunov functional

Electronic Journal of Differential Equations, 2002
Most publications on reaction-diffusion systems of $m$ components ($mgeq 2$) impose $m$ inequalities to the reaction terms, to prove existence of global solutions (see Martin and Pierre [10 ] and Hollis [4]).
Said Kouachi
doaj  

Asymptotic Analysis and Blow-Up of Solution for a q-Kirchhoff-Type Equation with Nonlinear Boundary Damping and Source Terms with Variable Exponents

Mathematics
In this study, we examine a q-Kirchhoff-type equation defined on a bounded domain, incorporating nonlinear boundary damping and source terms with variable exponents. Assuming appropriate conditions on the initial data and the variable exponent functions,
Nouri Boumaza, Billel Gheraibia, Zayd Hajjej, Hongwei Zhang, Said Mesloub   +4 more
doaj   +1 more source

Global existence of weak solutions for the Navier–Stokes equations with capillarity on the half-line [PDF]

, 2011
Zhong Tan, Rongcong Guo
openalex   +1 more source

Global Dynamics and Existence of Traveling Wave Solutions for A Three-Species Models [PDF]

, 2020
Fanfan Li, Zhenlai Han, Ting‐Hui Yang
openalex   +1 more source

Global boundedness and stability of a quasilinear two-species chemotaxis-competition model with nonlinear sensitivities

Advances in Nonlinear Analysis
This study deals with the global boundedness of a classical solution to a quasilinear two-species chemotaxis-competition model with nonlinear sensitivities in n≤3n\le 3. Due to the presence of nonlinear sensitivities, obtaining the necessary ‖w‖L∞\Vert w{
Yan Dongze, Liu Changchun
doaj   +1 more source

Transformation Of Human Existence Temporality In The Global Digital World [PDF]

, 2022
А И Нафикова, Nataliia Alekseevna Shergeng, Timur Anvarbakovich Bashirov, Nataliia Anatolyevna Antonova, Iskander Alikovich Shakirov   +4 more
openalex   +1 more source

Asymptotic behavior and blow-up of solutions for a nonlocal parabolic equation with a special diffusion process

AIMS Mathematics
This paper considers a class of higher-order nonlocal parabolic equations with special coefficient. We apply the Faedo-Galerkin approximation method and cut-off technique to obtain the local solvability.
Yaxin Zhao, Xiulan Wu
doaj   +1 more source