数学物理学报(英文版)

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

陈静; 徐学文   

  1. 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   

  1. 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:

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:

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.

Key words: Fourier transform, successive approximation, maximum principle

中图分类号: 

  • 35L65