Quasi-solutions of genuinely nonlinear forward-backward ultra-parabolic equations

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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 languageEnglish
Article number012046
Number of pages7
JournalJournal of Physics: Conference Series
Volume894
Issue number1
DOIs
Publication statusPublished - 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

Fingerprint Dive into the research topics of 'Quasi-solutions of genuinely nonlinear forward-backward ultra-parabolic equations'. Together they form a unique fingerprint.

Cite this