On a Nonstationary Model of a Catalytic Process in a Fluidized Bed

被引：0
|
作者：
V. P. Gaevoi
机构：
[1] Sobolev Institute of Mathematics,
来源：
Siberian Mathematical Journal | 2005年 / 46卷
关键词：
differential equation; partial derivative; generalized solution; stabilization;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the half-strip 0 ≤ x ≤ h, t ≤ 0 we consider a mixed problem for an almost linear system of three first order PDEs, one of which does not involve derivatives with respect to t. We prove the existence and uniqueness of a generalized Holder continuous solution and generalized piecewise smooth and smooth solutions. For the piecewise smooth solution we prove the stabilization of some functionals as t → ∞.
引用
收藏
页码：796 / 804
页数：8
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