diff --git a/examples/tree_1d_dgsem/elixir_linearizedeuler_gauss_wall.jl b/examples/tree_1d_dgsem/elixir_linearizedeuler_gauss_wall.jl
index c5f06fd0259..c087989e534 100644
--- a/examples/tree_1d_dgsem/elixir_linearizedeuler_gauss_wall.jl
+++ b/examples/tree_1d_dgsem/elixir_linearizedeuler_gauss_wall.jl
@@ -13,7 +13,6 @@ solver = DGSEM(polydeg = 5, surface_flux = flux_hll)
 coordinates_min = (0.0,)
 coordinates_max = (90.0,)
 
-# Create a uniformly refined mesh with periodic boundaries
 mesh = TreeMesh(coordinates_min, coordinates_max,
                 initial_refinement_level = 6,
                 n_cells_max = 100_000,
diff --git a/src/equations/linearized_euler_1d.jl b/src/equations/linearized_euler_1d.jl
index 559fb1dc0f0..04ea812a554 100644
--- a/src/equations/linearized_euler_1d.jl
+++ b/src/equations/linearized_euler_1d.jl
@@ -25,7 +25,8 @@ Linearized euler equations in one space dimension. The equations are given by
 \end{pmatrix}
 ```
 The bar ``\bar{(\cdot)}`` indicates uniform mean flow variables and c is the speed of sound.
-The unknowns are the acoustic velocity ``v_1'``, the pressure ``p'`` and the density ``\rho'``.
+The unknowns are the perturbation quantities of the acoustic velocity ``v_1'``, the pressure ``p'`` 
+and the density ``\rho'``.
 """
 struct LinearizedEulerEquations1D{RealT <: Real} <:
        AbstractLinearizedEulerEquations{1, 3}
diff --git a/test/test_tree_1d_linearizedeuler.jl b/test/test_tree_1d_linearizedeuler.jl
index ad8181bf5ce..c7cffee3f66 100644
--- a/test/test_tree_1d_linearizedeuler.jl
+++ b/test/test_tree_1d_linearizedeuler.jl
@@ -39,7 +39,6 @@ end
                             0.9999720404625275,
                             1.9999505145390108,
                         ])
-
     # Ensure that we do not have excessive memory allocations
     # (e.g., from type instabilities)
     let