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视频：南京大学大学物理学第69讲 Conservation laws。
A Space-time Smooth Artificial Viscosity Method For Nonlinear Conservation Laws
Space-time Smooth Artificial Viscosity Method Nonlinear Conservation Laws Computational Physics
2012/4/19
We introduce the $C$-method, a simple scheme for adding localized, space-time smooth, artificial viscosity to nonlinear systems of conservation laws which propagate shock waves, rarefactions, and cont...
Nonlinear self-adjointness and conservation laws
Conservation laws Nonlinear self-adjointness Diffusion Kompaneets equation KP equation
2011/9/20
Abstract: The general concept of nonlinear self-adjointness of differential equations is introduced. It includes the linear self-adjointness as a particular case. Moreover, it embraces the strict self...
Conservation laws, integrability and transport in one-dimensional quantum systems
Conservation laws one-dimensional quantum systems
2010/11/18
In integrable one-dimensional quantum systems an infinite set of local conserved quantities exists which can prevent a current from decaying completely. For cases like the spin current in the XXZ mode...
On the spectral vanishing viscosity method for periodic fractional conservation laws
spectral vanishing viscosity method periodic fractional conservation laws
2010/11/22
We introduce and analyze a spectral vanishing viscosity approximation of periodic fractional conservation laws. The fractional part of these equations can be a fractional Laplacian or other non-local ...
Conservation laws and normal forms of evolution equations
Conservation laws normal forms evolution equations
2010/4/6
We study local conservation laws for evolution equations in two independent variables. In particular, we present normal forms for the equations admitting one or two low-order conservation laws. Exampl...
Conservation laws for strings in the Abelian Sandpile Model
Conservation laws Abelian Sandpile Model
2010/4/2
The Abelian Sandpile generates complex and beautiful patterns and seems to display allometry. On the plane, beyond patches, patterns periodic in both dimensions, we remark the presence of structures p...
Noether Symmetries and Covariant Conservation Laws in Classical, Relativistic and Quantum Physics
Noether Symmetries Quantum Physics Covariant Conservation Laws
2010/3/18
We review the Lagrangian formulation of Noether symmetries (as well as "generalized Noether symmetries") in the framework of Calculus of Variations in Jet Bundles, with a special attention to so-calle...
Symmetry Reduction, Exact Solutions, and Conservation Laws
of (2+1)-Dimensional Burgers Korteweg-de Vries Equation
3D-BKdV equation classical Lie method direct method conservation laws
2007/8/15
2006Vol.46No.1pp.15-20DOI:
Symmetry Reduction, Exact Solutions, and Conservation Laws
of (2+1)-Dimensional Burgers Korteweg-de Vries Equation
DONG Zhong-Zhou,1 LIU Xi-Qiang,1 and ...
An Effective Method for Seeking Conservation Laws
of Partial Differential Equations
conservation law partial differential equation adjoint symmetry
2007/8/15
2006Vol.46No.1pp.21-22DOI:
An Effective Method for Seeking Conservation Laws
of Partial Differential Equations
QIN Mao-Chang,1 MEI Feng-Xiang,2 and FAN Gui-Hong3
1 Scien...
New Exact Solutions and Conservation Laws to (3+1)-Dimensional
Potential-YTSF Equation
new exact solutions Lie point symmetry groups
conservation laws (3+1)-dimensional potential-YTSF equation
2007/8/15
2006Vol.45No.3pp.487-492DOI:
New Exact Solutions and Conservation Laws to (3+1)-Dimensional
Potential-YTSF Equation
ZHANG Li-Hua and LIU Xi-Qiang
School of Mathematical ...
2005Vol.44No.6pp.967-968DOI:
Conservation Laws of Differential Equations in Finance
QIN Mao-Chang,1 MEI Feng-Xiang,2 and SHANG Mei2
1 School of Science, Chongqing Techno...
Hojman Conservation Laws for Relativistic Birkhoffian System
relativistic Birkhoffian system Lie symmetry Hojman conserved quantity
2007/8/15
2005Vol.44No.1pp.19-22DOI:
Hojman Conservation Laws for Relativistic Birkhoffian System
XU Zhi-Xin
School of Naval Architecture and Ocean Engineering, Jiangsu University...
Integrating Factors and Conservation Laws for Relativistic Mechanical System
relativity mechanical system conservation law integrating
factor Killing equation
2007/8/15
2005Vol.44No.2pp.231-234DOI:
Integrating Factors and Conservation Laws for Relativistic Mechanical System
ZHANG Yi
Department of Civil Engineering, University of Science...
Conservation Laws and Soliton Solutions for Generalized Seventh
Order KdV Equation
seventh order evolution equation conservation law soliton solution
symbolic computation
2007/8/15
2004Vol.41No.4pp.487-492DOI:
Conservation Laws and Soliton Solutions for Generalized Seventh
Order KdV Equation
YAO Ruo-Xia,1,2 XU Gui-Qiong,1,3 and
LI Zhi-Bin1
1 Depart...