EXISTENCE OF GLOBAL SMOOTH SOLUTION FOR SCALAR CONSERVATION LAWS WITH DEGENERATE VISCOSITY IN 2-DIMENSIONAL SPACE

doi:10.1016/S0252-9602(07)60043-5

数学物理学报(英文版)

EXISTENCE OF GLOBAL SMOOTH SOLUTION FOR SCALAR CONSERVATION LAWS WITH DEGENERATE VISCOSITY IN 2-DIMENSIONAL SPACE

陈静; 徐学文

华中师范大学数学系, 武汉 430079

收稿日期:2005-06-29 修回日期:1900-01-01 出版日期:2007-04-20 发布日期:2007-04-20
通讯作者: 陈静
基金资助:
The research was supported by the Key Project of the National Natural Science Foundation of China (10431060) and the Key Project of Chinese Ministry of Education (104128)

EXISTENCE OF GLOBAL SMOOTH SOLUTION FOR SCALAR CONSERVATION LAWS WITH DEGENERATE VISCOSITY IN 2-DIMENSIONAL SPACE

Chen Jing; Xu Xuewen

Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, China

Received:2005-06-29 Revised:1900-01-01 Online:2007-04-20 Published:2007-04-20
Contact: Chen Jing

摘要/Abstract

摘要：

This article concerns the existence of global smooth solution for scalar conservation laws with degenerate viscosity in 2-dimensional space. The analysis is based on successive approximation and maximum principle.

关键词: Fourier transform, successive approximation, maximum principle

Abstract:

Key words: Fourier transform, successive approximation, maximum principle

中图分类号:

35L65

陈静; 徐学文. EXISTENCE OF GLOBAL SMOOTH SOLUTION FOR SCALAR CONSERVATION LAWS WITH DEGENERATE VISCOSITY IN 2-DIMENSIONAL SPACE[J]. 数学物理学报(英文版), 2007, 27(2): 430-436.

Chen Jing; Xu Xuewen. EXISTENCE OF GLOBAL SMOOTH SOLUTION FOR SCALAR CONSERVATION LAWS WITH DEGENERATE VISCOSITY IN 2-DIMENSIONAL SPACE[J]. Acta mathematica scientia,Series B, 2007, 27(2): 430-436.

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EXISTENCE OF GLOBAL SMOOTH SOLUTION FOR SCALAR CONSERVATION LAWS WITH DEGENERATE VISCOSITY IN 2-DIMENSIONAL SPACE

EXISTENCE OF GLOBAL SMOOTH SOLUTION FOR SCALAR CONSERVATION LAWS WITH DEGENERATE VISCOSITY IN 2-DIMENSIONAL SPACE

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