2013/04/21 by И. Б. Бахолдин, I. B. Bakholdin, Bakholdin, I. B.
Computer Science · Mathematics · Physics and Astronomy · #35Q35 #35Q53 #37K40 #65Z05 #68-04 #74F10 #Advanced Mathematical Physics Problems #Computational Engineering #FOS: Computer and information sciences #FOS: Physical sciences #Finance #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS) #and Science (cs.CE) #cs.CE #math-ph #math.MP #msc:35Q35 #msc:35Q53 #msc:37K40 #msc:65Z05 #msc:68-04 #msc:74F10 #nlin.PS
paper · pdf · doi:10.48550/arxiv.1304.5706
17 pages, 10 figures
arxiv created 2013/04/21 · openalex publication_date 2013/04/21 · arxiv updated 2013/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The paper is devoted to analysis of different models that describe waves in fluid-filled and gas-filled elastic tubes and development of methods of calculation and numerical analysis of solutions with solitary waves and kinks for these models. Membrane model and plate model are used for tube. Two types of solitary waves are found. One-parametric families are stable and may be used as shock structures. Null-parametric solitary waves are unstable. The process of split of such solitary waves is investigated. It may lead to appearance of solutions with kinks. Kink solutions are null-parametric and stable. General theory of reversible shocks is used for analysis of numerical solutions.