In the inhomogeneous viscid Burgers' equation:

u_t+m u_x+λg(u)=νu_xx,

what is the significance of λ(coefficient of source term)?

what is the significance of m(associated to flux function)

Which of the following statements is mathematically correct?

1.When λ=0 the Burgers' equation becomes homogeneous

or

2. When g(u) tends to zero then the Burgers'equation becomes homogeneous

3.Both statement 1. and 2 can be used

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