Majda Merše: slovenistična bibliografija 1979‒2019

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Beale-kato-majda Type Condition for Burgers Equation

We consider a multidimensional Burgers equation on the torus T and the whole space R . We show that, in case of the torus, there exists a unique global solution in Lebesgue spaces. For a torus we also provide estimates on the large time behaviour of solutions. In the case of R we establish the existence of a unique global solution if a Beale-Kato-Majda type condition is satisfied. To prove thes...

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On the Engquist Majda Absorbing Boundary Conditions for Hyperbolic Systems

In their classical paper [2], the authors presented a methodology for the derivation of far field boundary conditions for the absorption of waves that are almost perpendicular to the boundary. In this paper we derive a general order absorbing boundary conditions of the type suggested by Engquist and Majda. The derivation utilizes a different methodology which is more general and simpler. This m...

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On a generalization of the Constantin–Lax–Majda equation

We present evidence on the global existence of solutions of De Gregorio’s equation, based on numerical computation and a mathematical criterion analogous to the Beale–Kato–Majda theorem. Its meaning in the context of a generalized Constantin–Lax–Majda equation will be discussed. We then argue that a convection term, if set in a proper form and in a proper magnitude, can deplete solutions of blo...

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Global Well-posedness of a System of Nonlinearly Coupled Kdv Equations of Majda and Biello∗

This paper addresses the problem of global well-posedness of a coupled system of Korteweg–de Vries equations, derived by Majda and Biello in the context of nonlinear resonant interaction of Rossby waves, in a periodic setting in homogeneous Sobolev spaces Ḣs, for s≥0. Our approach is based on a successive time-averaging method developed by Babin, Ilyin and Titi [A.V. Babin, A.A. Ilyin and E.S. ...

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The Beale-Kato-Majda criterion to the 3D Magneto-hydrodynamics equations

Here u, b describe the flow velocity vector and the magnetic field vector respectively, p is a scalar pressure, ν > 0 is the kinematic viscosity and η > 0 is the magnetic diffusivity, while u0 and b0 are the given initial velocity and initial magnetic field respectively, with ∇ · u0 = ∇ · b0 = 0. If ν = η = 0, (1.1) is called the ideal MHD equations. Using the standard energy method, it can be ...

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ژورنال

عنوان ژورنال: Jezikoslovni zapiski

سال: 2019

ISSN: 1581-1255,0354-0448

DOI: 10.3986/jz.25.2.13