lax extension

نتایج جستجو برای: lax extension

تعداد نتایج: 152353 فیلتر نتایج به سال:

Binary Nonlinearization for the Dirac Systems*

1997

Wen-Xiu Ma

A Bargmann symmetry constraint is proposed for the Lax pairs and the adjoint Lax pairs of the Dirac systems. It is shown that the spatial part of the nonlinearized Lax pairs and adjoint Lax pairs is a finite dimensional Liouville integrable Hamiltonian system and that under the control of the spatial part, the time parts of the nonlinearized Lax pairs and adjoint Lax pairs are interpreted as a ...

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Lax Extensions of Coalgebra Functors

2012

Johannes Marti Yde Venema

We discuss the use of relation lifting in the theory of setbased coalgebra. On the one hand we prove that the neighborhood functor does not extend to a relation lifting of which the associated notion of bisimilarity coincides with behavorial equivalence. On the other hand we argue that relation liftings may be of use for many other functors that do not preserve weak pullbacks, such as the monot...

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On the structure of (2 + 1)–dimensional commutative and noncommutative integrable equations

2008

Jing Ping Wang

We develop the symbolic representation method to derive the hierarchies of (2+1)-dimensional integrable equations from the scalar Lax operators and to study their properties globally. The method applies to both commutative and noncommutative cases in the sense that the dependent variable takes its values in C or a noncommutative associative algebra. We prove that these hierarchies are indeed qu...

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On the Conservation and Convergence to Weak Solutions of Global Schemes

Journal: :J. Sci. Comput. 2003

Mark H. Carpenter David I. Gottlieb Chi-Wang Shu

In this paper we discuss the issue of conservation and convergence to weak solutions of several global schemes, including the commonly used compact schemes and spectral collocation schemes, for solving hyperbolic conservation laws. It is shown that such schemes, if convergent boundedly ahnost everywhere, will converge to weak solutions. The results are extensions of the classical Lax-Wendroff t...

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On the Categorical Meaning of Hausdorff

2009

WALTER THOLEN

Hausdorff and Gromov distances are introduced and treated in the context of categories enriched over a commutative unital quantale V . The Hausdorff functor which, for every V-category X, provides the powerset of X with a suitable V-category structure, is part of a monad on V-Cat whose Eilenberg-Moore algebras are order-complete. The Gromov construction may be pursued for any endofunctor K of V...

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Control-theoretic modeling of multi-species water quality dynamics in drinking water networks: Survey, methods, and test cases

Journal: :Annual Reviews in Control 2023

Chlorine is a widely used disinfectant and proxy for water quality (WQ) monitoring in distribution networks (WDN). Chlorine-based WQ regulation control aims to maintain pathogen-free water. residual evolution within WDN commonly modeled using the typical single-species decay reaction dynamics that account network-wide, spatiotemporal chlorine concentrations only. Prior studies have proposed mor...

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Binary Nonlinearization of Lax Pairs

1996

B. FUCHSSTEINER

A kind of Bargmann symmetry constraints involved in Lax pairs and adjoint Lax pairs is proposed for soliton hierarchy. The Lax pairs and adjoint Lax pairs are nonlinearized into a hierarchy of commutative finite dimensional integrable Hamil-tonian systems and explicit integrals of motion may also be generated. The corresponding binary nonlinearization procedure leads to a sort of involutive sol...

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Eigenvalues of Self-Similar Solutions of the Dafermos Regularization of a System of Conservation Laws via Geometric Singular Perturbation Theory

2004

Stephen Schecter

The Dafermos regularization of a system of n conservation laws in one space dimension admits smooth self-similar solutions of the form u= u(X/T ). In particular, there are such solutions near a Riemann solution consisting of n possibly large Lax shocks. In Lin and Schecter (2004, SIAM. J. Math. Anal. 35, 884–921), eigenvalues and eigenfunctions of the linearized Dafermos operator at such a solu...

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The effects of race-related stress on cortisol reactivity in the laboratory: implications of the Duke lacrosse scandal.

Journal: :Annals of behavioral medicine : a publication of the Society of Behavioral Medicine 2008

Laura Smart Richman Charles Jonassaint

BACKGROUND The experience of race-related stressors is associated with physiological stress responses. However, much is unknown still about the complex relationship between how race-related stressors are perceived and experienced and potential moderators such as strength of racial identity. PURPOSE This research examines the impact of a real-life stressor and strength of race identity on phys...

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AUX/LAX genes encode a family of auxin influx transporters that perform distinct functions during Arabidopsis development.

Journal: :The Plant cell 2012

Benjamin Péret Kamal Swarup Alison Ferguson Malvika Seth Yaodong Yang Stijn Dhondt Nicholas James Ilda Casimiro Paula Perry Adnan Syed Haibing Yang Jesica Reemmer Edward Venison Caroline Howells Miguel A Perez-Amador Jeonga Yun Jose Alonso Gerrit T S Beemster Laurent Laplaze Angus Murphy Malcolm J Bennett Erik Nielsen Ranjan Swarup

Auxin transport, which is mediated by specialized influx and efflux carriers, plays a major role in many aspects of plant growth and development. AUXIN1 (AUX1) has been demonstrated to encode a high-affinity auxin influx carrier. In Arabidopsis thaliana, AUX1 belongs to a small multigene family comprising four highly conserved genes (i.e., AUX1 and LIKE AUX1 [LAX] genes LAX1, LAX2, and LAX3). W...

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