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Global Existence for Semilinear Parabolic Systems
SIAM Journal on Mathematical Analysis, 1989The 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, 1997We 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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Almost Global Existence for the Prandtl Boundary Layer Equations
, 2015We consider the Prandtl boundary layer equations on the half plane, with initial datum that lies in a weighted H1 space with respect to the normal variable, and is real-analytic with respect to the tangential variable.
M. Ignatova, V. Vicol
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Global existence and blow up of solutions for pseudo-parabolic equation with singular potential
Journal of Differential Equations, 2020W. Lian, Juan Wang, Runzhang Xu
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Global Existence for a Model of Electrophoretic Separation
SIAM Journal on Mathematical Analysis, 1988We 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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Global Existence and Decay of Solutions for a Class of Viscoelastic Kirchhoff Equation
Bulletin of the Malaysian Mathematical Sciences Society, 2018N. Mezouar, S. Boulaaras
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A logarithmic chemotaxis model featuring global existence and aggregation
, 2019L. Desvillettes +3 more
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Global Existence and Aggregation in a Keller–Segel Model with Fokker–Planck Diffusion
, 2017Changwook Yoon, Yong-Jung Kim
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