Stability of stationary solutions of parabolic variational inequalities
Quittner, P.
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Quittner, P.
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Martin Väth (2014)
Mathematica Bohemica
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We consider a reaction-diffusion system of activator-inhibitor type which is subject to Turing's diffusion-driven instability. It is shown that unilateral obstacles of various type for the inhibitor, modeled by variational inequalities, lead to instability of the trivial solution in a parameter domain where it would be stable otherwise. The result is based on a previous joint work with I.-S. Kim, but a refinement of the underlying theoretical tool is developed. Moreover, a different...
Milan Kučera, Jiří Neustupa (1986)
Commentationes Mathematicae Universitatis Carolinae
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Kučera, Milan
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E. Z. Borevich, V. M. Chistyakov (2001)
Applications of Mathematics
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The present paper describes mobile carrier transport in semiconductor devices with constant densities of ionized impurities. For this purpose we use one-dimensional partial differential equations. The work gives the proofs of global existence of solutions of systems of such kind, their bifurcations and their stability under the corresponding assumptions.