Further results for a one-dimensional linear thermoelastic equation with Dirichlet-Dirichlet boundary conditions
نویسندگان
چکیده
منابع مشابه
Convergence to Steady States for a One-dimensional Viscous Hamilton-jacobi Equation with Dirichlet Boundary Conditions
The convergence to steady states of non-negative solutions u to the one-dimensional viscous Hamilton-Jacobi equation ∂tu − ∂2 xu = |∂xu|, (t, x) ∈ (0,∞)× (−1, 1) with homogeneous Dirichlet boundary conditions is investigated. For that purpose, a Liapunov functional is constructed by the approach of Zelenyak (1968). Instantaneous extinction of ∂xu on a subinterval of (−1, 1) is also shown for su...
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ژورنال
عنوان ژورنال: The ANZIAM Journal
سال: 2002
ISSN: 1446-1811,1446-8735
DOI: 10.1017/s1446181100012621