Abstract
In the present paper we have proved the existence of quasi-solutions of genuinely nonlinear forward-backward ultra-parabolic equations. Quasi-solutions are obtained with the help of the vanishing anisotropic temporal diffusion method. Moreover, at the present stage of our research we assume that various choices of temporal artificial diffusion coefficients lead to entropy solutions or to quasi-solutions. The latter assumption is the subject of our further scientific research.
| Original language | English |
|---|---|
| Article number | 012046 |
| Number of pages | 7 |
| Journal | Journal of Physics: Conference Series |
| Volume | 894 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 22 Oct 2017 |
Keywords
- entropy solution
- forward-backward ultra-parabolic equation
- genuine nonlinearity condition
- kinetic solution
- ENTROPY SOLUTIONS
- EXISTENCE
- SCALAR CONSERVATION-LAWS
- STRONG TRACES
- KINETIC FORMULATION