A STOCHASTIC MODEL OF THE EVOLUTION DERIVED FROM ELASTIC VELOCITY PROCESS WITH MIXED DIFFUSION-JUMP CHARACTERISTICS

DOI10.1142/S0218202502001969zbMath1019.60065OpenAlexW2083052618MaRDI QIDQ4798994

Lech S. Papież, Vladimir Tulovsky

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202502001969

zbMATH Keywords

Boltzmann equationmultiple scatteringsmall angle approximationphase space evolution

Mathematics Subject Classification ID

Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Transport processes in time-dependent statistical mechanics (82C70) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

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Cites Work

• Discontinuous Markoff processes
• A mathematical model for gamma ray transport in the cardiac region
• A diffusion model with loss of particles
• STRATEGIES OF APPLIED MATHEMATICS TOWARDS AN IMMUNO-MATHEMATICAL THEORY ON TUMORS AND IMMUNE SYSTEM INTERACTIONS
• "ETERNAL" SOLUTIONS FOR A MODEL OF THE BOLTZMANN EQUATION
• The Diffusion Limit of Transport Equations Derived from Velocity-Jump Processes
• THE SEMICONTINUOUS BOLTZMANN EQUATION: TOWARDS A MODEL FOR FLUID DYNAMIC APPLICATIONS
• MODELLING OF THE IMMUNE RESPONSE: CONCEPTUAL FRAMEWORKS AND APPLICATIONS
• Brownian Motion on the Surface of the 3-Sphere
• Multiple Scattering in an Infinite Medium

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