what are the characteristics of conservation
Answers (2)
Student Expert
31st Mar, 2021
Hello,
Each conservation law of a given partial differential equation is determined (up to equivalence) by a function known as the characteristic.
This particular function is used to find conservation laws, to prove equivalence between conservation laws, and also to prove the converse of Noethers Theorem.
Transferring these results to difference equations is nontrivial, mainly because difference operators are not derivations and do not obey the chain rule for derivatives. In particular, we establish the converse of Noethers Theorem for difference equations, we show (without taking a continuum limit) that the conservation laws in the infinite family generated by Rasin and Schiff are distinct, and we obtain all five-point conservation laws for the potential Lotka Volterra equation.
I hope this helps.
Each conservation law of a given partial differential equation is determined (up to equivalence) by a function known as the characteristic.
This particular function is used to find conservation laws, to prove equivalence between conservation laws, and also to prove the converse of Noethers Theorem.
Transferring these results to difference equations is nontrivial, mainly because difference operators are not derivations and do not obey the chain rule for derivatives. In particular, we establish the converse of Noethers Theorem for difference equations, we show (without taking a continuum limit) that the conservation laws in the infinite family generated by Rasin and Schiff are distinct, and we obtain all five-point conservation laws for the potential Lotka Volterra equation.
I hope this helps.
Comments (0)
31st Mar, 2021
Hello aspirant,
Each conservation law of a given partial differential equation is determined (up to equivalence) by a function known as the characteristic. This function is used to find conservation laws, to prove equivalence between conservation laws, and to prove the converse of Noether's Theorem.
Environmental Conservation. Environmental conservation refers to the environment being used in a way that is sustainable.
An example of conservation is a program to try to preserve wetlands. An example of conservation is a program to try to save old buildings. An example of conservation is an attempt to minimize the amount of electricity you use by turning off lights when you leave a room.
Thankyou
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