Results 81 to 90 of about 152,398 (281)
Surjective polynomial maps, and a remark on the jacobian problem
manuscripta mathematica, 1990 The authors prove the following theorem: ``If R is an affine domain (a domain that is either finitely generated as a ring, or finitely generated as an algebra over a subfield) but not a field, and if f: \(R^ m\to R^ m\) is a surjective polynomial map over R, then f is bijective, and its inverse is also a polynomial map over R.''
McKenna, Ken, Van den Dries, Lou
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Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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Integer Solutions of Integral Inequalities and 𝐻-Invariant Jacobian Poisson Structures
Advances in Mathematical Physics, 2011 We study the Jacobian Poisson structures in any dimension invariant with respect to the discrete Heisenberg group. The classification problem is related to the discrete volume of suitable solids.
G. Ortenzi +2 more
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IEEE Access, 2019 An adaptive control law is proposed in this paper for body-fixed hovering over an asteroid with an unknown gravity field and an unknown rotation rate. The unknown parameters and irregular shape of an asteroid make the hovering problem challenging.
Bo Zhang, Yuanli Cai
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Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
wiley +1 more source
Solving the differential biochemical Jacobian from metabolomics covariance data.
PLoS ONE, 2014 High-throughput molecular analysis has become an integral part in organismal systems biology. In contrast, due to a missing systematic linkage of the data with functional and predictive theoretical models of the underlying metabolic network the ...
Thomas Nägele +5 more
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A Survey of Research on Square-Free and Radical Factorizations:from Jacobian-Type Conditions to Ideals in Noncommutative Rings [PDF]
Military Technology and ScienceThis article presents a survey of research on square-free and radical factorizations in rings and monoids, both in the commutativeand noncommutative settings.
Łukasz Matysiak
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Plane Jacobian problem for rational polynomials
, 2008 This paper has been ...
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The impact of forced closure on proppant distribution of hydraulic fracturing in shale formations
Deep Underground Science and Engineering, EarlyView.Research findings demonstrate that implementing forced closure within shale formations can remarkably mitigate proppant settlement, concurrently increasing the effective propped surface area from 29.74% to 38.68%. Abstract Forced closure is widely used in conventional oil and gas reservoirs to promote uniform proppant placement.
Tongxuan Gu +3 more
wiley +1 more source
Polynomial automorphisms, quantization and Jacobian conjecture related problems
, 2019 The purpose of this review paper is the collection, systematization and discussion of recent results concerning the quantization approach to the Jacobian conjecture, as well as certain related topics.
Kanel-Belov, Alexei +4 more
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