Volume 8, Issue 4
The Global Solutions of the Scalar Nonconvex Conservation Law with Boundary Condition

Tao Pan & Longwei Lin

DOI:

J. Part. Diff. Eq., 8 (1995), pp. 371-383.

Published online: 1995-08

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  • Abstract

Using the polygonal approximations method, we construct the global approximate solution of the initial boundary value problem (1.1)-(1.3) for the scalar nonconvex conservation law, and prove its convergence. The crux of this work is to clarify the behavior of the approximations on the boundary x = 0.

  • Keywords

Scalar conservation law nonconvex boundary condition polygonal approximations method

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@Article{JPDE-8-371, author = {}, title = {The Global Solutions of the Scalar Nonconvex Conservation Law with Boundary Condition}, journal = {Journal of Partial Differential Equations}, year = {1995}, volume = {8}, number = {4}, pages = {371--383}, abstract = { Using the polygonal approximations method, we construct the global approximate solution of the initial boundary value problem (1.1)-(1.3) for the scalar nonconvex conservation law, and prove its convergence. The crux of this work is to clarify the behavior of the approximations on the boundary x = 0.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5668.html} }
TY - JOUR T1 - The Global Solutions of the Scalar Nonconvex Conservation Law with Boundary Condition JO - Journal of Partial Differential Equations VL - 4 SP - 371 EP - 383 PY - 1995 DA - 1995/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5668.html KW - Scalar conservation law KW - nonconvex KW - boundary condition KW - polygonal approximations method AB - Using the polygonal approximations method, we construct the global approximate solution of the initial boundary value problem (1.1)-(1.3) for the scalar nonconvex conservation law, and prove its convergence. The crux of this work is to clarify the behavior of the approximations on the boundary x = 0.
Tao Pan & Longwei Lin . (2019). The Global Solutions of the Scalar Nonconvex Conservation Law with Boundary Condition. Journal of Partial Differential Equations. 8 (4). 371-383. doi:
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