Displaying similar documents to “Rate of approach to a singular steady state in quasilinear reaction-diffusion equations”

A singular radially symmetric problem in electrolytes theory

Tadeusz Nadzieja, Andrzej Raczyński (1998)

Applicationes Mathematicae

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Existence of radially symmetric solutions (both stationary and time dependent) for a parabolic-elliptic system describing the evolution of the spatial density of ions in an electrolyte is studied.

A singular equation with positive and free boundary solutions.

Juan Dávila, Marcelo Montenegro (2003)

RACSAM

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Para 0 < β < 1 consideramos la ecuación -Δu = χ (-u + λf(x, u)) en Ω­ con condición de borde tipo Dirichlet. Esta ecuación posee una solución maximal u ≥ 0 para todo λ > 0. Si λ es menor que una cierta constante λ*, u se anula en el interior del dominio creando una frontera libre, y para λ > λ* esta solución es positiva en Ω­ y estable. Establecemos la regularidad de u incluso en presencia de una frontera libre. Para λ ≥ λ* la solución del problema parabólico...

Existence and nonexistence of solutions for a model of gravitational interaction of particles, II

Piotr Biler, Danielle Hilhorst, Tadeusz Nadzieja (1994)

Colloquium Mathematicae

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We study the existence and nonexistence in the large of radial solutions to a parabolic-elliptic system with natural (no-flux) boundary conditions describing the gravitational interaction of particles. The blow-up of solutions defined in the n-dimensional ball with large initial data is connected with the nonexistence of radial stationary solutions with a large mass.