催化抑制動力系統的解的爆破行為
No Thumbnail Available
Date
2009
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
我們研究有關一個催化劑-抑制劑之動力系統的爆破行為。首先，我們給爆破解存在的充分條件。而爆破解的行為分為同時爆破及非同時爆破兩種情況。然後，我們得到他們的爆破速率。最後，我們證明對於任意給定的爆破時間，同時爆破或非同時爆破解的存在性。
We study the blow-up behaviors of solutions for a kinetic system related to an activator-inhibitor system. First, we give a sufficient condition for the existence of blow-up solutions. There are cases of simultaneous and non-simultaneous blow-up. We then derive the blow-up rates for both cases. Finally, we prove the existence of simultaneous and non-simultaneous blow-up solutions for any given blow-up time.
We study the blow-up behaviors of solutions for a kinetic system related to an activator-inhibitor system. First, we give a sufficient condition for the existence of blow-up solutions. There are cases of simultaneous and non-simultaneous blow-up. We then derive the blow-up rates for both cases. Finally, we prove the existence of simultaneous and non-simultaneous blow-up solutions for any given blow-up time.
Description
Keywords
催化劑-抑制劑, 動力系統, 同時爆破, 非同時爆破, 爆破速率, activator-inhibitor, kinetic system, simultaneous blow-up, non-simultaneous blow-up, blow-up rate