THE LINEARIZED STABILITY FOR NONLINEAR TRANSPORT EQUATION

DOI10.1081/TT-120014801zbMath1034.82072OpenAlexW1992978237MaRDI QIDQ4798511

Guang-Tian Zhu, De-Zhi Gao

Publication date: 2002

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/tt-120014801

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Integro-partial differential equations (45K05) Nuclear reactor theory; neutron transport (82D75) Bifurcations in context of PDEs (35B32)

Cites Work

• Linearized stability for hyperbolic evolution equations with semilinear boundary conditions
• Exponential stabilization of the solution for time dependent neutron transport equation
• The initial value problem for neutron transport in a slab with perfect reflection boundary conditions
• On nonlinear neutron transport equations
• A Principle of Linearized Stability for Nonlinear Evolution Equations
• Neutron Transport in a Nonuniform Slab with Generalized Boundary Conditions

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