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Insights on human-wildlife coexistence from social science and Indigenous and traditional knowledge. [PDF]
Conserv BiolJolly H, Stronza A.
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Formation Mechanism and Motion Characteristics of Multiple Jets in Spherical Section Free Surface Electrospinning. [PDF]
Materials (Basel)Yin J, Xu L.
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From Cow to Climate-Tracing the Path of Dairy Sustainability: Unveiling the Impact on Sustainable Development Goals Through Bibliometric and Literature Analyses. [PDF]
Animals (Basel)Mwirigi D, Fekete-Farkas M, Borbély C.
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On the conservation laws of PDEs
Reports on Mathematical Physics, 1988Abstract The general methods of obtaining conservation laws for (non-linear) partial differential equations (PDEs) introduced in [16, 17, 21, 23] are considered and the general covariance of such methods is studied. In particular, it is shown that Vinogradov's method fails to be fully covariant in the non-linear case.
MARINO V, PRASTARO, Agostino
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2012
Publisher Summary This chapter focuses on the conservation laws that govern the general fluid movement. The basis of the conservation of mass principle for fluid mechanics is that mass can neither be created nor destroyed within the volume or system of interest.
David A. Rubenstein +2 more
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Publisher Summary This chapter focuses on the conservation laws that govern the general fluid movement. The basis of the conservation of mass principle for fluid mechanics is that mass can neither be created nor destroyed within the volume or system of interest.
David A. Rubenstein +2 more
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Scalar Conservation Laws [PDF]
, 2002 In this chapter we consider the Cauchy problem for a scalar conservation law. Our goal is to show that, subject to certain conditions, there exists a unique solution to the general initial value problem. Our method will be completely constructive, and we shall exhibit a procedure by which this solution can be constructed.
Helge Holden, Nils Henrik Risebro
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1990
The laws governing fluid motion are based on conservation of mass, momentum, and energy. For the Eulerian description of fluid motion, these three conservation laws are coupled nonlinear partial differential equations. However, to produce a potentially solvable set of equations, a constitutive relationship must be specified.
Pijush K. Kundu +2 more
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The laws governing fluid motion are based on conservation of mass, momentum, and energy. For the Eulerian description of fluid motion, these three conservation laws are coupled nonlinear partial differential equations. However, to produce a potentially solvable set of equations, a constitutive relationship must be specified.
Pijush K. Kundu +2 more
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On the optimization of a conservation law
Calculus of Variations and Partial Differential Equations, 2004Consider the Cauchy problem for a conservation law and assume that an integral functional on its solution is defined. In this note we obtain an Euler-Lagrange equation for the stationary points of this functional. An application to the optimal management of traffic flows is considered.
COLOMBO, Rinaldo Mario, GROLI ALESSANDRO
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1972
Publisher Summary This chapter discusses the conservation law resulting from the homogeneity of time. By virtue of this homogeneity, the Lagrangian of a closed system does not depend explicitly on time. The chapter also discusses a conservation law that follows from the homogeneity of space.
Lev Davidovich Landau, E.M. Lifshitz
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Publisher Summary This chapter discusses the conservation law resulting from the homogeneity of time. By virtue of this homogeneity, the Lagrangian of a closed system does not depend explicitly on time. The chapter also discusses a conservation law that follows from the homogeneity of space.
Lev Davidovich Landau, E.M. Lifshitz
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On approximation of local conservation laws by nonlocal conservation laws
Journal of Mathematical Analysis and Applications, 2019Abstract We show that for monotone initial datum the solution of nonlocal conservation laws converges to the entropy solution of the corresponding local conservation laws when the nonlocal reach tends to zero. This particularly covers the principle cases of conservation laws: shocks and rarefactions.
Alexander Keimer, Lukas Pflug
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