scholarly journals Global structure of admissible solutions of multi-dimensional non-homogeneous scalar conservation law with Riemann-type data

2017 ◽  
Vol 263 (2) ◽  
pp. 1055-1078
Author(s):  
Gaowei Cao ◽  
Wei Xiang ◽  
Xiaozhou Yang
Keyword(s):  
Conservation Law ◽  
Global Structure ◽  
Scalar Conservation Law ◽  
Admissible Solutions ◽  
Type Data ◽  
Scalar Conservation

scholarly journals A nonconvex scalar conservation law with trilinear flux

2001 ◽  
Vol 59 (4) ◽  
pp. 615-635 ◽  
Author(s):  
Brian T. Hayes ◽  
Michael Shearer
Keyword(s):  
Conservation Law ◽  
Scalar Conservation Law ◽  
Scalar Conservation

scholarly journals Stability of the 1D IBVP for a non autonomous scalar conservation law

2018 ◽  
Vol 149 (03) ◽  
pp. 561-592 ◽  
Author(s):  
Rinaldo M. Colombo ◽  
Elena Rossi
Keyword(s):  
Conservation Laws ◽  
Boundary Value Problems ◽  
Conservation Law ◽  
Space Dimension ◽  
Initial Boundary ◽  
Initial Boundary Value Problems ◽  
Scalar Conservation Law ◽  
Scalar Conservation ◽  
The Stability ◽  
Initial Boundary Value

We prove the stability with respect to the flux of solutions to initial – boundary value problems for scalar non autonomous conservation laws in one space dimension. Key estimates are obtained through a careful construction of the solutions.

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