| Title:
|
Hyperbolické systémy, entropie a metoda konečných objemů (Czech) |
| Title:
|
Hyperbolic systems, entropy and the method of finite volumes (English) |
| Author:
|
Rokyta, Mirko |
| Language:
|
Czech |
| Journal:
|
Pokroky matematiky, fyziky a astronomie |
| ISSN:
|
0032-2423 |
| Volume:
|
47 |
| Issue:
|
4 |
| Year:
|
2002 |
| Pages:
|
287-297 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35L65 |
| MSC:
|
65M60 |
| idZBL:
|
Zbl 1046.35073 |
| . |
| Date available:
|
2010-12-11T19:33:14Z |
| Last updated:
|
2012-08-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141144 |
| . |
| Reference:
|
[1] Bressan, A.: Hyperbolic systems of conservation laws. The one dimensional Cauchy problem.Oxford University Press 1998. MR 1816648 |
| Reference:
|
[2] Glimm, J.: Solutions in the large for nonlinear hyperbolic systems of equations.Comm. Pure Appl. Math. 18 (1965), 697–715. Zbl 0141.28902, MR 0194770 |
| Reference:
|
[3] Godlewski, E., Raviart, P. A.: Hyperbolic Systems of Conservation Laws.Mathematiques & Applications, S. M. A. I., Ellipses, Paris 1991 (in English). Zbl 0768.35059, MR 1304494 |
| Reference:
|
[4] Kröner, D.: Numerical Schemes for Conservation Laws.Teubner, Leipzig–Stuttgart 1996. |
| Reference:
|
[5] Kröner, D., Rokyta, M.: Convergence of upwind finite volume schemes for scalar conservation laws in two dimensions.SIAM J. Numer. Anal. 31, no. 2 (1994), 324–343. MR 1276703 |
| Reference:
|
[6] Kružkov, S. N.: First order quasilinear equations in several independent variables.Math. USSR Sbornik 10, no. 2 (1970), 217–243 (in English). |
| Reference:
|
[7] Lax, P. D.: Hyperbolic systems of conservation laws II.Comm. Pure Appl. Math. 10 (1957), 537–566. Zbl 0081.08803, MR 0093653 |
| Reference:
|
[8] Málek, J., Nečas, J., Rokyta, M., Růžička, M.: Weak and measure-valued solutions to evolutionary partial differential equations.Chapman & Hall 1996. |
| Reference:
|
[9] Rauch, J.: BV estimates fail for most quasilinear hyperbolic systems in dimension greater than one.Comm. Math. Phys. 106 (1986), 481–484. MR 0859822 |
| Reference:
|
[10] Rokyta, M.: A suitable replacement of the BV condition for finite volume schemes on unstructured grids.In: Numerical Modelling in Continuum Mechanics, Feistauer, M., Rannacher, R., Kozel, K. (eds.), 267–274, Matfyzpress, Praha 2001. |
| Reference:
|
[11] Serre, D.: Systemes de lois de conservation.Diderot Editeur, 1996. Zbl 0930.35003 |
| Reference:
|
[12] Sever, M.: Uniqueness failure for entropy solutions of hyperbolic systems of conservation laws.Comm. Pure Appl. Math. 42 (1989), 173–183. Zbl 0645.35063, MR 0978703 |
| Reference:
|
[13] Smoller, J.: Shock Waves and Reaction-Diffusion Equations.Grundlehren der math. Wissenschaften, Bd. 258, Springer-Verlag, Berlin–Heidelberg–New York, 1983 (1st ed.), 1994 (2nd ed.). Zbl 0508.35002, MR 1301779 |
| . |
