Abstract
We study an initial boundary value problem for the Broadwell model with a supersonic physical boundary. The Green’s function for an initial value problem is constructed and its detailed pointwise structure is obtained through the novel decompositions introduced in [8]. With the Green’s function for initial value problem and energy estimates together, a new approach to convert a priori L2-boundary data into L∞ boundary data is established for the Broadwell model. The Green’s function for an initial boundary value problem is obtained. Finally, a nonlinearly time-asymptotic stability of an equilibrium state is proved. © American Institute of Mathematical Sciences.
| Original language | English |
|---|---|
| Pages (from-to) | 167-183 |
| Journal | Networks and Heterogeneous Media |
| Volume | 1 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2006 |
| Externally published | Yes |
Bibliographical note
Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].Funding
The research of the first author, the second one , and the third one are supported fully by NSC 93-2119-M-110-002, NSC 93-2119-M-003-006, 94-2115-M-003-010, and a grant from the Research Grants Council of the Hong Kong Special Administration Region, China CityU 103304 respectively.
Research Keywords
- Broadwell Model
- Initial-Boundary Value Problem
RGC Funding Information
- RGC-funded
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