Аннотация:
Доказана однозначная локальная по времени разрешимость начально-краевой задачи для системы уравнений, описывающей движение сжимаемой жидкости с постоянной вязкостью, без учета теплопроводности. Решение найдено в классе $W_q^{2,1}$, $q>3$.
Образец цитирования:
В. А. Солонников, “О разрешимости начально-краевой задачи для уравнения движения вязкой сжимаемой жидкости”, Исследования по линейным операторам и теории функций. VI, Зап. научн. сем. ЛОМИ, 56, Изд-во «Наука», Ленинград. отд., Л., 1976, 128–142; J. Soviet Math., 14:2 (1980), 1120–1133
\RBibitem{Sol76}
\by В.~А.~Солонников
\paper О~разрешимости начально-краевой задачи для уравнения движения вязкой сжимаемой жидкости
\inbook Исследования по линейным операторам и теории функций.~VI
\serial Зап. научн. сем. ЛОМИ
\yr 1976
\vol 56
\pages 128--142
\publ Изд-во «Наука», Ленинград. отд.
\publaddr Л.
\mathnet{http://mi.mathnet.ru/znsl2856}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=481666}
\zmath{https://zbmath.org/?q=an:0338.35078|0451.35092}
\transl
\jour J. Soviet Math.
\yr 1980
\vol 14
\issue 2
\pages 1120--1133
\crossref{https://doi.org/10.1007/BF01562053}
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/znsl2856
https://www.mathnet.ru/rus/znsl/v56/p128
Эта публикация цитируется в следующих 58 статьяx:
Tiantian Zhang, “Global Classical Solution to the Strip Problem of 2D Compressible Navier–Stokes System with Vacuum and Large Initial Data”, J. Math. Fluid Mech., 27:1 (2025)
Xiangdi Huang, Mengluan Su, Wei Yan, Rongfeng Yu, “Global large strong solutions to the radially symmetric compressible Navier-Stokes equations in 2D solid balls”, Journal of Differential Equations, 396 (2024), 393
Jou-Chun Kuo, Yoshihiro Shibata, “$L_1$ approach to the compressible viscous fluid flows in the half-space”, Алгебра и анализ, 36:3 (2024), 103–151
Qin Duan, Xiangdi Huang, “Local Weak Solution of the Isentropic Compressible Navier–Stokes Equations with Variable Viscosity”, J. Math. Fluid Mech., 26:3 (2024)
Raphaël Danchin, Piotr BogusŁaw Mucha, “Compressible Navier‐Stokes equations with ripped density”, Comm Pure Appl Math, 76:11 (2023), 3437
Raphaël Danchin, Patrick Tolksdorf, “Critical regularity issues for the compressible Navier–Stokes system in bounded domains”, Math. Ann., 387:3-4 (2023), 1903
Yong Lu, Ping Zhang, “Global solutions of 2D isentropic compressible Navier-Stokes equations with one slow variable”, Journal of Differential Equations, 376 (2023), 406
Pierre-Etienne Druet, “Maximal mixed parabolic–hyperbolic regularity for the full equations of multicomponent fluid dynamics”, Nonlinearity, 35:7 (2022), 3812
Bingkang Huang, Lan Zhang, “Global well-posedness of classical solution to the interactions between short-long waves with large initial data”, Journal of Differential Equations, 318 (2022), 187
Qin Duan, Xiangdi Huang, “Local weak solution of the isentropic compressible Navier-Stokes equations in a half-space”, Sci. China Math., 65:5 (2022), 993
Chaohao Xiao, Xiaoqian Zhu, Fukang Yin, Xiaoqun Cao, Kecheng Peng, Jun Nie, “Fourier filter-based physics- information convolutional recurrent network for 2D incompressible flow”, Front. Phys., 10 (2022)
Xinyu Fan, Jiaxu Li, Jing Li, “Global Existence of Strong and Weak Solutions to 2D Compressible Navier–Stokes System in Bounded Domains with Large Data and Vacuum”, Arch Rational Mech Anal, 245:1 (2022), 239
Hermano Frid, Daniel Marroquin, Joa͂o F.C. Nariyoshi, “Global Smooth Solutions With Large Data for a System Modeling Aurora Type Phenomena in the 2-Torus”, SIAM J. Math. Anal., 53:1 (2021), 1122
Xiangdi Huang, Wei Yan, “Local weak solution of the isentropic compressible Navier–Stokes equations”, Journal of Mathematical Physics, 62:11 (2021)
Dieter Bothe, Pierre-Etienne Druet, “Mass transport in multicomponent compressible fluids: Local and global well-posedness in classes of strong solutions for general class-one models”, Nonlinear Analysis, 210 (2021), 112389
Dieter Bothe, Pierre-Etienne Druet, “Well-posedness analysis of multicomponent incompressible flow models”, J. Evol. Equ., 21:4 (2021), 4039
А. Е. Мамонтов, Д. А. Прокудин, “Одномерная многокомпонентная гемодинамика”, Сиб. электрон. матем. изв., 17 (2020), 1975–1989
N A Kucher, A A Zhalnina, O V Malyshenko, “On a model for multicomponent chemically reacting mixture of viscous fluids”, J. Phys.: Conf. Ser., 1268:1 (2019), 012040
Zhen Lei, Zhouping Xin, “On scaling invariance and type-I singularities for the compressible Navier-Stokes equations”, Sci. China Math., 62:11 (2019), 2271
Yongzhong Sun, Zhifei Zhang, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2018, 2263
Цитирование в формате AMSBIB
Обратная связь: