Solutions of the 3-D transportation equations

被引：0

作者：

Sheng, YC ^{[1
]}

机构：

[1] Xinjiang Univ, Dept Math, Inst Math & Phys, Urumqi 830046, Peoples R China

来源：

FRONTIERS IN QUANTUM FIELD THEORY, PROCEEDINGS OF THE INTERNATIONAL WORKSHOP | 1998年

关键词：

D O I：

暂无

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

In this paper, the transportation equations art? considered. The Riemann problem in three space dimensions for the transportation equations has been served analytically. Under the generalized Rankine-Hugoniot and entropy conditions, the existence and uniqueness of solutions involving constant states, slip surfaces (contact discontinuous) (J), Dirac delta waves (delta-waves), and vacuums (Vac) have been established. We prove that the weighted Dirac delta waves are distribution solutions of the 3-D transportation equations.

引用

页码：212 / 218

页数：7

共 50 条

[31] Global Large Solutions to the 3-D Generalized Incompressible Navier-Stokes Equations
Zhang, Shunhang
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (04) : 2101 - 2121
[32] Analytical solutions to the 3-D compressible Navier-Stokes equations with free boundaries
Mei Wang
Zilai Li
Wei Li
Boundary Value Problems, 2015
[33] Nonexistence of Nontrivial Generalized Solutions for 2-D and 3-D BVPs with Nonlinear Mixed Type Equations
Dechevski, Lubomir
Payne, Kevin R.
Popivanov, Nedyu
PROCEEDINGS OF THE 43RD INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'17), 2017, 1910
[34] Helically symmetric solutions to the 3-D Navier-Stokes equations for compressible isentropic fluids
Sun, WJ
Jiang, S
Guo, ZH
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 222 (02) : 263 - 296
[35] On blow-up criteria of smooth solutions to the 3-D Euler equations in a bounded domain
Ogawa, T
Taniuchi, Y
JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 190 (01) : 39 - 63
[36] Local existence and uniqueness of strong solutions to 3-D stochastic Navier-Stokes equations
Marek Capiński
Szymon Peszat
Nonlinear Differential Equations and Applications NoDEA, 1997, 4 : 185 - 200
[37] BLOWUP OF CLASSICAL SOLUTIONS FOR A CLASS OF 3-D QUASILINEAR WAVE EQUATIONS WITH SMALL INITIAL DATA
Ding, Bingbing
Witt, Ingo
Yin, Huicheng
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2015, 28 (9-10) : 941 - 970
[38] Local existence and uniqueness of strong solutions to 3-D stochastic Navier-Stokes equations
Capinski, Marek
Peszat, Szymon
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1997, 4 (02): : 185 - 200
[39] Emissivity simulations in passive microwave remote sensing with 3-D numerical solutions of Maxwell equations
Zhou, L
Tsang, L
Jandhyala, V
Li, Q
Chan, CH
IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 2004, 42 (08): : 1739 - 1748
[40] Continuous dependence on initial data for the solutions of 3-D anisotropic Navier-Stokes equations
Zhang, Ping
Zhu, Weipeng
JOURNAL OF FUNCTIONAL ANALYSIS, 2025, 288 (01)

← 1 2 3 4 5 →