def METHOD_NAME(v=1., circle=True, initial_data_type='sin', parameter_range=(1., 2.)):
    """One-dimensional Burgers-type problem.
    The problem is to solve ::
        ∂_t u(x, t, μ)  +  ∂_x (v * u(x, t, μ)^μ) = 0
                                       u(x, 0, μ) = u_0(x)
    for u with t in [0, 0.3] and x in [0, 2].
    Parameters
    ----------
    v
        The velocity v.
    circle
        If `True`, impose periodic boundary conditions. Otherwise Dirichlet left,
        outflow right.
    initial_data_type
        Type of initial data (`'sin'` or `'bump'`).
    parameter_range
        The interval in which μ is allowed to vary.
    """
    assert initial_data_type in ('sin', 'bump')
    if initial_data_type == 'sin':
        initial_data = ExpressionFunction('0.5 * (sin(2 * pi * x[0]) + 1.)', 1)
        dirichlet_data = ConstantFunction(dim_domain=1, value=0.5)
    else:
        initial_data = ExpressionFunction('(x[0] >= 0.5) * (x[0] <= 1) * 1.', 1)
        dirichlet_data = ConstantFunction(dim_domain=1, value=0.)
    return InstationaryProblem(
        StationaryProblem(
            domain=CircleDomain([0, 2]) if circle else LineDomain([0, 2], right=None),
            dirichlet_data=dirichlet_data,
            rhs=None,
            nonlinear_advection=ExpressionFunction('abs(x)**exponent[0] * v',
                                                   1, {'exponent': 1}, {'v': v}),
            nonlinear_advection_derivative=ExpressionFunction('exponent * abs(x)**(exponent[0]-1) * sign(x) * v',
                                                              1, {'exponent': 1}, {'v': v}),
        ),
        T=0.3,
        initial_data=initial_data,
        parameter_ranges={'exponent': parameter_range},
        name=f"burgers_problem({v}, {circle}, '{initial_data_type}')"
    )