In this article, we study the blow-up phenomena of generalized double dispersion equations u_(tt)-u_(xx)-u_(xxt) + u_(xxxx)-u_(xxtt)= f(u_x)_x.Under suitable conditions on the initial data, we first establish a blow-u...In this article, we study the blow-up phenomena of generalized double dispersion equations u_(tt)-u_(xx)-u_(xxt) + u_(xxxx)-u_(xxtt)= f(u_x)_x.Under suitable conditions on the initial data, we first establish a blow-up result for the solutions with arbitrary high initial energy, and give some upper bounds for blow-up time T~* depending on sign and size of initial energy E(0). Furthermore, a lower bound for blow-up time T~* is determined by means of a differential inequality argument when blow-up occurs.展开更多
广播电视发射的政策性、技术性及专业性较强,对于广播电视系统安全播出任务的要求日益严格,对发射台机房电源保障能力的要求也愈发严格。由于发射台机房停播故障70%以上源于供电系统,文章设计了智能一体化不间断电源(Uninterruptible Po...广播电视发射的政策性、技术性及专业性较强,对于广播电视系统安全播出任务的要求日益严格,对发射台机房电源保障能力的要求也愈发严格。由于发射台机房停播故障70%以上源于供电系统,文章设计了智能一体化不间断电源(Uninterruptible Power Supply,UPS)系统方案,旨在避免广播电视发射台电源故障导致的停播事故,实现供配电系统零停播的要求和规范化、标准化、智慧化的用电目标。展开更多
基金partially supported by the NSF of China(11801108,11626070)the Scientific Program of Guangdong Province(2016A030310262)the College Scientific Research Project of Guangzhou City(1201630180)
文摘In this article, we study the blow-up phenomena of generalized double dispersion equations u_(tt)-u_(xx)-u_(xxt) + u_(xxxx)-u_(xxtt)= f(u_x)_x.Under suitable conditions on the initial data, we first establish a blow-up result for the solutions with arbitrary high initial energy, and give some upper bounds for blow-up time T~* depending on sign and size of initial energy E(0). Furthermore, a lower bound for blow-up time T~* is determined by means of a differential inequality argument when blow-up occurs.
文摘广播电视发射的政策性、技术性及专业性较强,对于广播电视系统安全播出任务的要求日益严格,对发射台机房电源保障能力的要求也愈发严格。由于发射台机房停播故障70%以上源于供电系统,文章设计了智能一体化不间断电源(Uninterruptible Power Supply,UPS)系统方案,旨在避免广播电视发射台电源故障导致的停播事故,实现供配电系统零停播的要求和规范化、标准化、智慧化的用电目标。
