Results 181 to 190 of about 390,420 (212)

On the existence of global first integrals in the plane

Annali di Matematica Pura ed Applicata, 1993
The authors are concerned with the existence of global, smooth first integrals of noncritical, autonomous first order systems of ordinary differential equation in the plane of such kind: (1) \(x'= f(x)\), \(x\in R^ 2\), \(f\in C^ k(R^ 2,R^ 2)\), \(1\leq k\leq \omega\).
L. Mazzi, Sabatini, Marco
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Actually Existing Globalization

2000
There are two great, world-encompassing changes associated with the last quarter of the twentieth century: the rapid integration of the global economy and the unprecedented decline in the economic role of the state in most countries. The first of these, usually referred to as ‘globalization’, represents not a new direction but an acceleration of the ...
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The Existence and the Non-existence of Global Solutions of a Free Boundary Problem

Journal of Partial Differential Equations, 2004
The paper examines the parabolic equation \[ \frac{1}{\tau} v_t = v_{xx} - 2v + H(x-\Phi(t)) \] on \((0,1)\times \mathbb{R}_+\) with zero Neumann boundary conditions, \(H\) the Heaviside function and \(\Phi\) satisfying \(0< \Phi (0)
Yin, Rong, Yu, Wanghui
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Global Existence for Semilinear Parabolic Systems

SIAM Journal on Mathematical Analysis, 1989
The paper is concerned with global existence of solutions to problems involving a semilinear parabolic system \[ v_ t(x,t)=D\Delta v(x,t)+f(v(x,t)),\quad x\in \Omega,\quad t>0, \] where \(\Omega \subset {\mathbb{R}}^ n\), bounded and with a smooth boundary, D is an \(m\times m\) diagonal matrix with positive diagonal entries, \[ v(x,0)=v_ 0(x)\in L ...
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Global Existence for Two Laser Models

Mathematical Models and Methods in Applied Sciences, 1997
We compare two one-dimensional models giving a simplified description for some nonlinear regimes in laser physics. For these two models, we prove the existence of a global solution, and, for one of them, the existence of a global attractor.
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Global Existence for a Model of Electrophoretic Separation

SIAM Journal on Mathematical Analysis, 1988
We examine the modeling equations for a particular electrophoretic separation technique known as isotachophoresis. These equations form a system of advection-diffusion type and describe the time evolution of a number of charged chemical species. The transport mechanism arises from an electric field E where \(E_ x\) is a superposition of the species ...
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On the existence of (global) Maoism

Critical Asian Studies, 2022
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Global existence and blow up of solutions for pseudo-parabolic equation with singular potential

Journal of Differential Equations, 2020
Wei Lian, Runzhang Xu
exaly  

Global existence and asymptotic behavior of a two-species competitive Keller–Segel system on R N

Nonlinear Analysis: Real World Applications, 2021
Shangjiang Guo
exaly  

Local and Global Existence

2021
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