Revista Matemática Iberoamericana· 2026Q1
Coupled transport equations with freezing
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- Q1SCImago
- 2026year
Short summary
A system of coupled transport equations where solutions freeze when equal is shown to have unique continuous solutions for continuous initial conditions.
AI-generated from the title and abstract; the full text is not read.
Key points
- Introduces a novel system of coupled transport equations with a freezing condition.
- Proves existence and uniqueness of continuous solutions for continuous initial data.
- The freezing occurs when the solutions become equal.
- The model is motivated by the physics of numerous colliding balls.
AI-generated from the title and abstract; the full text is not read.
Abstract
We study a system of two coupled transport equations with freezing. The solutions freeze in time when they are equal. We prove existence and uniqueness of continuous solutions if the initial conditions are continuous. We discuss several qualitative and quantitative properties of the solutions. The equations arise in a model for collisions of a large number of tightly spaced balls.
The authors' abstract, as published at the source. Revista Matemática Iberoamericana, 2026 · DOI ↗
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Field: Applied Mathematics
Applied MathematicsMathematics