تقرير
Application of invariants of characteristics to construction of solutions without gradient catastrophe
| العنوان: | Application of invariants of characteristics to construction of solutions without gradient catastrophe |
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| المؤلفون: | Aksenov, Alexander V., Druzhkov, Konstantin P., Kaptsov, Oleg V. |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics Mathematical Physics Nonlinear Sciences |
| مصطلحات موضوعية: | Mathematical Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems, 35Q35 35Q05 35Q31 |
| الوصف: | The one-dimensional system of equations of isentropic gas dynamics is considered. First-order invariants of characteristics of this system are classified. Second-order invariants of characteristics are classified for polytropic processes. The infinite sequence of Darboux integrable systems is described. The approach to construction of smooth solutions without gradient catastrophe is proposed. Examples of solutions without gradient catastrophe are presented. Comment: 22 pages, 4 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.ijnonlinmec.2022.104249 |
| الوصول الحر: | http://arxiv.org/abs/2208.05298Test |
| رقم الانضمام: | edsarx.2208.05298 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.ijnonlinmec.2022.104249 |
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