Displaying similar documents to “On stationary kinetic systems of Boltzmann type and their fluid limits”

Stationary solutions of aerotaxis equations

Piotr Knosalla, Tadeusz Nadzieja (2015)

Applicationes Mathematicae

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We study the existence and uniqueness of the steady state in a model describing the evolution of density of bacteria and oxygen dissolved in water filling a capillary. The steady state is a stationary solution of a nonlinear and nonlocal problem which depends on the energy function and contains two parameters: the total mass of the colony of bacteria and the concentration (or flux) of oxygen at the end of the capillary. The existence and uniqueness of solutions depend on relations between...

Stationary reflection in extender models

Ernest Schimmerling (2005)

Fundamenta Mathematicae

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Working in L[E], we examine which large cardinal properties of κ imply that all stationary subsets of cof(<κ) ∩ κ⁺ reflect.

Stationary states and moving planes

Gerhard Ströhmer (2008)

Banach Center Publications

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Most of the paper deals with the application of the moving plane method to different questions concerning stationary accumulations of isentropic gases. The first part compares the concepts of stationarity arising from the points of view of dynamics and the calculus of variations. Then certain stationary solutions are shown to be unstable. Finally, using the moving plane method, a short proof of the existence of energy-minimizing gas balls is given.

The stationary Boltzmann equation in ℝ n with given indata

Leif Arkeryd, Anne Nouri (2002)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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An L 1 -existence theorem is proved for the nonlinear stationary Boltzmann equation for soft and hard forces in ℝ n with given indata on the boundary, when the collision operator is truncated for small velocities.