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Abstract
In this chapter, we study a simple scalar nonlinear conservation law: Burgers' equation. Burgers' equation models momentum transport in a fluid of uniform density and pressure, and it is the simplest equation that captures some key features of gas dynamics or water waves.
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In this chapter, we study a simple scalar nonlinear conservation law: Burgers' equation. Burgers' equation models momentum transport in a fluid of uniform density and pressure, and it is the simplest equation that captures some key features of gas dynamics or water waves.
Key concepts: Burgers' equation, Conservation law, Nonlinear system, Scalar (mathematics), Momentum (technical analysis), Physics, Classical mechanics, Mathematics