Results 21 to 30 of about 5,372,216 (210)
Quasilinear theory of inhomogeneous magnetized plasmas [PDF]
The Physics of Fluids, 1983 The quasilinear equations are derived for an inhomogeneous magnetized plasma without using the random phase approximation and the expansion in the ratio of the Larmor radius to the inhomogeneity scale. The equations take into account both resonant and nonresonant interactions, and possess the necessary conservation properties.
Yasseen, F., Vaclavik, J.
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Quasilinear Theory of the 2D Euler Equation [PDF]
Physical Review Letters, 2000 We develop a quasilinear theory of the 2D Euler equation and derive an integro-differential equation for the evolution of the coarse-grained vorticity. This equation respects all the invariance properties of the Euler equation and conserves angular momentum in a circular domain and linear impulse in a channel.
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Conditional Symmetries and Riemann Invariants for Hyperbolic Systems of PDEs [PDF]
, 2007 This paper contains an analysis of rank-k solutions in terms of Riemann invariants, obtained from interrelations between two concepts, that of the symmetry reduction method and of the generalized method of characteristics for first order quasilinear ...
Huard, Benoit, Grundland, A. Michel
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Dirichlet problem with measurable data for semilinear equations in the plane
Доповiдi Нацiональної академiї наук України, 2022 The study of the Dirichlet problem with arbitrary measurable data for harmonic functions in the unit disk goes to the known dissertation of Luzin. His result was formulated in terms of angular limits (along nontangent paths) that are a traditional tool
V.Ya. Gutlyanskiĭ +3 more
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A RECONSIDERATION OF QUASILINEAR THEORY
Le Journal de Physique Colloques, 1980 It is shown that even within the quasi linear framework, mode coupling terms give a zero order contribution to the growth rate.
Adam, J., Laval, G., Pesme, D.
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Life-Span of Classical Solutions to Hyperbolic Inverse Mean Curvature Flow
Discrete Dynamics in Nature and Society, 2020 In this paper, we investigate the life-span of classical solutions to hyperbolic inverse mean curvature flow. Under the condition that the curve can be expressed in the form of a graph, we derive a hyperbolic Monge–Ampère equation which can be reduced to
Zenggui Wang
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Riemann Invariants and Rank-k Solutions of Hyperbolic Systems [PDF]
, 2006 In this paper we employ a "direct method" in order to obtain rank-k solutions of any hyperbolic system of first order quasilinear differential equations in many dimensions.
Huard, Benoit, Grundland, A. Michel
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Frontiers in Astronomy and Space SciencesQuasilinear theories have been shown to well describe a range of transport phenomena in magnetospheric, space, astrophysical and laboratory plasma “weak turbulence” scenarios.
Oliver Allanson +21 more
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A class of abstract quasi-linear evolution equations of second order [PDF]
, 1999 In this paper we study the abstract quasi-linear evolution equation of second order formula here in a general banach space z. it is well-known that the abstract quasi-linear theory due to kato [10, 11] is widely applicable to quasi-linear partial ...
NAOKI TANAKA, Tanaka, Naoki
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Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.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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