Two linearized models for a hyperbolic free boundary value problem (Q760861)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Two linearized models for a hyperbolic free boundary value problem |
scientific article; zbMATH DE number 3886486
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two linearized models for a hyperbolic free boundary value problem |
scientific article; zbMATH DE number 3886486 |
Statements
Two linearized models for a hyperbolic free boundary value problem (English)
0 references
1984
0 references
The paper is concerned with a free boundary value problem for hyperbolic partial differential equations. There are given two linearized models which describe the motion of a gas in a cylinder with a piston at one end whose motion is determined by the pressure of the gas within the cylinder by external forces. Moreover in the second model a quadratic correction term is added. For both models existence and uniqueness theorems are given. Examples are also given.
0 references
free boundary value problem
0 references
hyperbolic partial differential equations
0 references
linearized models
0 references
motion of a gas
0 references
existence
0 references
uniqueness
0 references