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Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs

• Authors : Crouseilles, Nicolas; Jin, Shi; Lemou, Mohammed ...

Subjects: uncertainty quantification; generalized polynomial chaos; [PHYS.PHYS.PHYS-COMP-PH] Physics [physics]/Physics [physics]/Computational Physics [physics.comp-ph]

• Source: ESAIM: Proceedings and Surveys

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Umbilic Singularities of Semiclassical Approximations to Solutions of the Focusing Nonlinear Schrödinger Equation: Umbilic singularities of semiclassical approximations to solutions of the focusing nonlinear Schrödinger equation

• Authors : Suleimanov, B. I.; Shavlukov, A. M.

Subjects: catastrophe theory; Deformation of singularities; NLS equations (nonlinear Schrödinger equations)

• Source: Mathematical Notes. 116:1361-1372

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Nonlinear Geometric Optics method based multi-scale numerical schemes for highly-oscillatory transport equations

• Authors : Crouseilles, Nicolas; Jin, Shi; Lemou, Mohammed ...

Subjects: Surface hopping; Chapman-Enskog expansion; uniformly accurate numerical method

• Source: ISSN: 0218-2025.

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Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws

• Authors : Chen, Gui-Qiang; Junca, Stéphane; Rascle, Michel ...

Subjects: Stability; BV; Multiscale

• Source: ISSN: 0022-0396.

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Semilinear Geometric Optics for Generalized Solutions

• Authors : Y.-g. Wang; M. Oberguggenberger; The Pennsylvania State University CiteSeerX Archives

Subjects: Key words; Semilinear hyperbolic systems; Cauchy problems

• Source: ftp://ftp.esi.ac.at:/pub/Preprints/esi829.ps

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About nonlinear geometric optics

• Authors : Dumas, Eric;

Subjects: boundary layers; shocks; resonances35-02

• Source: https://hal.archives-ouvertes.fr/hal-00014461 ; 2005.

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ASYMPTOTIC ANALYSIS OF EXTENDED MAGNETOHYDRODYNAMICS

• Authors : Besse, Nicolas; Cheverry, Christophe;

Subjects: Pseudo-differential symmetrizers; extended magnetohydrodynamics; Fusion plasmas

• Source: https://hal.science/hal-05009504 ; 2025.

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About nonlinear geometric optics

• Authors : Éric Dumas; The Pennsylvania State University CiteSeerX Archives

Subjects: high-frequency analysis; nonlinear geometric optics; resonances

• Source: http://www-fourier.ujf-grenoble.fr/PUBLIS/publications/REF_685.pdf.

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MATHEMATICAL PERSPECTIVES IN PLASMA TURBULENCE

• Authors : Cheverry, Christophe;

Subjects: coherent structures; Plasma turbulence; intermittency

• Source: Research and Reports on Mathematics ; https://hal.science/hal-01617652 ; Research and Reports on Mathematics, 2018, 2 (2)

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Multiple highly oscillatory shock waves.

• Authors : Yahong Peng¹ ; Ya-Guang Wang²

• Source: Asymptotic Analysis. May2008, Vol. 57 Issue 3/4, p143-198. 56p.

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