3 problems

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Conjecture on completeness of local conservation laws for the multi-layer quasi-geostrophic system
Let … admits no other independent local conservation laws. The paper presents families of local conservation laws and a Hamiltonian structure, and indicates that a proof that the l…
Conjectureopenconservation-laws quasi-geostrophic-modelsarXiv posted 2 days ago
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Conjecture on nonlinear coupling constraints in higher-dimensional symmetry algebras
Let $m$ be the number of layers, let $c$ be the subalgebra parameter tuple, and let $\mathsf F$ and $\mathsf C$ be the matrices determining the model and the commutation relations.…
Conjectureopenquasi-geostrophic-models symmetry-analysisarXiv posted 2 days ago
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Extension of the alpha-convergence proposition to stronger Sobolev spaces
Conjecture. Proposition $$ may be extended to the stronger space
Conjectureopenpartial-differential-equations quasi-geostrophic-models sobolev-spacesarXiv posted 2 days ago

Conjecture on completeness of local conservation laws for the multi-layer quasi-geostrophic system