Pith. sign in

REVIEW 2 cited by

Inverse problem on conservation laws

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1705.03547 v2 pith:J2ZWILT3 submitted 2017-05-09 math-ph math.APmath.MPphysics.geo-ph

Roman O. Popovych , Alexander Bihlo This is my paper · ORCID
classification math-phmath.APmath.MPphysics.geo-ph
keywords conservationequationslawsprobleminversedifferentialconservativeeuler
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

The explicit formulation of the general inverse problem on conservation laws is presented for the first time. In this problem one aims to derive the general form of systems of differential equations that admit a prescribed set of conservation laws. The particular cases of the inverse problem on first integrals of ordinary differential equations and on conservation laws for evolution equations are studied. We also solve the inverse problem on conservation laws for differential equations admitting an infinite dimensional space of zeroth-order conservation-law characteristics. This particular case is further studied in the context of conservative first-order parameterization schemes for the two-dimensional incompressible Euler equations. We exhaustively classify conservative first-order parameterization schemes for the eddy-vorticity flux that lead to a class of closed, averaged Euler equations possessing generalized circulation, generalized momentum and energy conservation.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Invariant parameterization of geostrophic eddies in the ocean

    physics.ao-ph 2019-08 conditional novelty 7.0 of 10

    The authors build one-and-a-half order invariant parameterization schemes for the beta-plane barotropic vorticity equation, preserving scale symmetries as equivalence transformations, and report moderately better Fofo...

  2. Extended symmetry analysis of two-dimensional degenerate Burgers equation

    math.AP 2019-08 accept novelty 7.0 of 10

    For the degenerate Burgers equation u_t + u u_x - u_yy = 0, all generalized symmetries reduce to Lie symmetries, and conservation laws are in one-to-one correspondence with solutions of the backward heat equation.

Pith tools