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| GLOBAL WEAK SOLUTIONS OF THE RELATIVISTIC VLASOV-KLEIN-GORDON SYSTEM IN TWO DIMENSIONS | |
| 引用本文： | Wei Mingjun Zhu Wanzhen (School of Science,Zhejian9 University of Science and Technology,Hangzhou 31023). GLOBAL WEAK SOLUTIONS OF THE RELATIVISTIC VLASOV-KLEIN-GORDON SYSTEM IN TWO DIMENSIONS[J]. Annals of Differential Equations, 2007, 23(4): 511-518 |
| 作者姓名： | Wei Mingjun Zhu Wanzhen (School of Science Zhejian9 University of Science and Technology Hangzhou 31023) |
| 作者单位： | School of Science，Zhejian9 University of Science and Technology，Hangzhou 31023 |
| 基金项目： | NSF of Zhejiang Province (Y605139). |
| 摘 要： | In this paper we consider the system of classical particles coupled with a Klein-Gordon field in two dimensions.We establish a-priori-bounds on the solutions of this system with initial data satisfying a size restriction derived from conservation of energy.This result,together with the smoothing of"velocity averaging",yields the existence of global weak solutions to the corresponding restricted initial value problem.The size restriction is necessary since energy of the system is indefinite.Finally,we show that the weak solutions preserve the total mass. |
| 关 键 词： | 球形 几何 面积 数学 |
GLOBAL WEAK SOLUTIONS OF THE RELATIVISTIC VLASOV-KLEIN-GORDON SYSTEM IN TWO DIMENSIONS |
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| Wei Mingjun Zhu Wanzhen. GLOBAL WEAK SOLUTIONS OF THE RELATIVISTIC VLASOV-KLEIN-GORDON SYSTEM IN TWO DIMENSIONS[J]. 微分方程年刊(英文版), 2007, 23(4): 511-518 | |
| Authors: | Wei Mingjun Zhu Wanzhen |
| Affiliation: | School of Science, Zhejiang University of Science and Technology, Hangzhou 310023 |
| Abstract: | In this paper we consider the system of classical particles coupled with a Klein-Gordon field in two dimensions.We establish a-priori-bounds on the solutions of this system with initial data satisfying a size restriction derived from conservation of energy.This result,together with the smoothing of"velocity averaging",yields the existence of global weak solutions to the corresponding restricted initial value problem.The size restriction is necessary since energy of the system is indefinite.Finally,we show that the weak solutions preserve the total mass. |
| Keywords: | global weak solutions Vlasov equation Klein-Gordon equation |
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