Diffusion phenomenon in the hyperbolic and parabolic regimes
نویسندگان
چکیده
منابع مشابه
Nonlinear Instability of Solutions in Parabolic and Hyperbolic Diffusion
We consider semilinear evolution equations of the form a(t)∂ttu+ b(t)∂tu + Lu = f(x, u) and b(t)∂tu + Lu = f(x, u), with possibly unbounded a(t) and possibly sign-changing damping coefficient b(t), and determine precise conditions for which linear instability of the steady state solutions implies nonlinear instability. More specifically, we prove that linear instability with an eigenfunction of...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2013
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2013.07.009