Solution blow-up for a new stationary Sobolev-type equation
Tóm tắt
A new nonlinear stationary Sobolev-type equation with a parameter η ∈ ℝ1 is derived. For η > 0, global solvability in the weak generalized sense is proved in the entire waveguide
$$
\mathbb{S}
$$
⊗ ℝ
+
1
. For η < 0, the strong generalized solution is shown to blow up in a certain waveguide cross section z = R
0 > 0. An upper bound for R
0 in terms of the original parameters of the problem is obtained.
Tài liệu tham khảo
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