Fixed points of a destabilized Kuramoto-Sivashinsky equation
نویسندگان
چکیده
We consider the family of destabilized Kuramoto-Sivashinsky equations in one spatial dimension ut + νuxxxx + βuxx + γuux = αu for α,ν ≥ 0 and β ,γ ∈ R. For certain parameter values, shock-like stationary solutions have been numerically observed. In this work we verify the existence of several such solutions using the framework of self-consistent bounds and validated numerics.
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ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 266 شماره
صفحات -
تاریخ انتشار 2015