On A Class Of Systems Of Quasilinear Conservation Laws

E. Yu. Panov

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On A Class Of Systems Of Quasilinear Conservation Laws

机译：关于一类拟线性守恒律系统

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We consider hyperbolic conservation laws on matrix algebras. We describe entropies of such systems and study properties of generalized entropy solutions and strong generalized entropy solutions to the Cauchy problem. Bibliography: 15 titles.

机译：我们考虑矩阵代数上的双曲守恒定律。我们描述了这类系统的熵，并研究了柯西问题的广义熵解和强广义熵解的性质。参考书目：15种。

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《Journal of Mathematical Sciences》 |2009年第4期|p.644-668|共25页
作者
E. Yu. Panov;
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Novgorod State University 41, Bol'shaya St.-Peterburgskaya, Velikiy Novgorod 173003, Russia;

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正文语种 eng
中图分类数学;
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专利

1. Global classical discontinuous solutions to a class of generalized riemann problem for general quasilinear hyperbolic systems of conservation laws [J] . Li Ta-Tsien, Kong De-Xing Communications in Partial Differential Equations . 1999,第5a6期

机译：一般守恒律的拟线性双曲系统的一类广义riemann问题的全局经典不连续解
2. Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data: Shocks and contact discontinuities [J] . Shao Z.-Q. Journal of Mathematical Analysis and Applications . 2012,第2期

机译：具有较小BV初始数据的守恒律的一般拟线性双曲系统的经典不连续解的寿命：冲击和不连续点
3. Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data: Shocks and contact discontinuities [J] . Shao Z.-Q. Journal of Mathematical Analysis and Applications . 2012,第2期

机译：具有较小BV初始数据的守恒律的一般拟线性双曲系统的经典不连续解的寿命：冲击和不连续点
4. ALMOST GLOBAL EXISTENCE OF CLASSICAL DISCONTINUOUS SOLUTIONS TO GENERAL QUASILINEAR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS WITH SMALL BV INITIAL DATA [C] . ZHI-QIANG SHAO International Conference on Hyperbolic Problems . 2014

机译：小型BV初始数据几乎全球古典Qualinear双曲系统对普通拟线性旋转系统的存在
5. Quasilinear third-order scalar evolution equations and their conservation laws. [D] . Foltinek, Kevin. 1996

机译：拟线性三阶标量演化方程及其守恒律。
6. Multiple Solutions for a Class of Dirichlet Double Eigenvalue Quasilinear Elliptic Systems Involving the (p1… pn)-Laplacian Operator [O] . Armin Hadjian, Saleh Shakeri 2013

机译：一类Dirichlet双特征值拟线性椭圆系统的多重解其中（p1…pn）-拉普拉斯算子
7. Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data: Shocks and contact discontinuities [O] . Shao Zhi-Qiang 2012

机译：具有较小BV初始数据的守恒律的一般拟线性双曲系统的经典不连续解的寿命：冲击和不连续点

On A Class Of Systems Of Quasilinear Conservation Laws

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