On the Existence and Approximation of Solutions for the Optimal Control of Nonlinear Hyperbolic Conservation Laws

Optimal Control of Partial Differential Equations ◽

10.1007/978-3-0348-8691-8_25 ◽

1999 ◽

pp. 287-299 ◽

Cited By ~ 5

Author(s):

Stefan Ulbrich

Keyword(s):

Optimal Control ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Nonlinear Hyperbolic Conservation Laws

Download Full-text

On Vector-Valued Approximation of State Constrained Optimal Control Problems for Nonlinear Hyperbolic Conservation Laws

Journal of Dynamical and Control Systems ◽

10.1007/s10883-013-9184-5 ◽

2013 ◽

Vol 19 (3) ◽

pp. 381-404 ◽

Cited By ~ 8

Author(s):

P. I. Kogut ◽

R. Manzo

Keyword(s):

Optimal Control ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control ◽

Hyperbolic Conservation ◽

Vector Valued ◽

Nonlinear Hyperbolic Conservation Laws

Download Full-text

Optimal Control of Nonlinear Hyperbolic Conservation Laws with Switching

International Series of Numerical Mathematics - Trends in PDE Constrained Optimization ◽

10.1007/978-3-319-05083-6_8 ◽

2014 ◽

pp. 109-131 ◽

Cited By ~ 2

Author(s):

Sebastian Pfaff ◽

Stefan Ulbrich ◽

Günter Leugering

Keyword(s):

Optimal Control ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Nonlinear Hyperbolic Conservation Laws

Download Full-text

Compactness methods and nonlinear hyperbolic conservation laws

Some Current Topics on Nonlinear Conservation Laws - AMS/IP Studies in Advanced Mathematics ◽

10.1090/amsip/015/02 ◽

2000 ◽

pp. 33-75 ◽

Cited By ~ 6

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Nonlinear Hyperbolic Conservation Laws

Download Full-text

A Second-Order Accurate, Component-Wise TVD Scheme for Nonlinear, Hyperbolic Conservation Laws

Journal of Computational Physics ◽

10.1006/jcph.2001.6834 ◽

2001 ◽

Vol 173 (1) ◽

pp. 1-16 ◽

Cited By ~ 19

Author(s):

Heng Yu ◽

Yu-Ping Liu

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Second Order ◽

Tvd Scheme ◽

Hyperbolic Conservation ◽

Nonlinear Hyperbolic Conservation Laws

Download Full-text

New high-resolution scheme for three-dimensional nonlinear hyperbolic conservation laws

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.09.017 ◽

2008 ◽

Vol 198 (2) ◽

pp. 770-786 ◽

Cited By ~ 3

Author(s):

Jun Zhou ◽

Li Cai ◽

Feng-Qi Zhou

Keyword(s):

High Resolution ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Three Dimensional ◽

Hyperbolic Conservation ◽

Resolution Scheme ◽

Nonlinear Hyperbolic Conservation Laws

Download Full-text

A class of N nonlinear hyperbolic conservation laws

Journal of Differential Equations ◽

10.1016/0022-0396(90)90128-c ◽

1990 ◽

Vol 84 (1) ◽

pp. 73-99 ◽

Cited By ~ 5

Author(s):

Lars Holden ◽

Raphael Høegh-Krohn

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Nonlinear Hyperbolic Conservation Laws

Download Full-text

BV estimates of Lax-Friedrichs’ scheme for a class of nonlinear hyperbolic conservation laws

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-02-06688-1 ◽

2002 ◽

Vol 131 (4) ◽

pp. 1257-1266 ◽

Cited By ~ 4

Author(s):

Tong Yang ◽

Huijiang Zhao ◽

Changjiang Zhu

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Nonlinear Hyperbolic Conservation Laws

Download Full-text

Nonlinear hyperbolic conservation laws—a brief informal introduction

Lecture Notes on Numerical Methods for Hyperbolic Equations ◽

10.1201/b18130-5 ◽

2011 ◽

pp. 13-38

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Nonlinear Hyperbolic Conservation Laws

Download Full-text

Local and global interaction for nongenuinely nonlinear hyperbolic conservation laws

Indiana University Mathematics Journal ◽

10.1512/iumj.2000.49.1701 ◽

2000 ◽

Vol 49 (3) ◽

pp. 0-0 ◽

Cited By ~ 3

Author(s):

I-Liang Chern

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Nonlinear Hyperbolic Conservation Laws

Download Full-text

On a Second Order Residual Estimator for Numerical Schemes for Nonlinear Hyperbolic Conservation Laws

Journal of Computational Physics ◽

10.1006/jcph.2001.6784 ◽

2001 ◽

Vol 171 (1) ◽

pp. 227-242 ◽

Cited By ~ 3

Author(s):

Ingo Thomas ◽

Thomas Sonar

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Second Order ◽

Numerical Schemes ◽

Hyperbolic Conservation ◽

Nonlinear Hyperbolic Conservation Laws

Download Full-text