Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics. (Q1413037)
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scientific article; zbMATH DE number 2002555
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics. |
scientific article; zbMATH DE number 2002555 |
Statements
Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics. (English)
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10 November 2003
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The zero-pressure one dimensional gas dynamics equations are considered. It is observed that there exist measure-valued solutions that obey the Oleinik entropy inequality and the so-called the cohesion condition that prohibits initial separation of particles. The method of generalized characteristics is developed further to prove uniqueness of such solutions.
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pressureless gas dynamics equations
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measure valued entropy solutions
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Oleinik entropy inequality
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cohesion condition
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0.8925553
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0.89067477
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0.8844426
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0.8802057
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0.8791769
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0.8777667
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0.87277144
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