Stability of isotropic self-similar dynamics for scalar-wave collapse

Journal Article · Tue Dec 15 04:00:00 EST 1992 · Physical Review A. General Physics; (United States)

DOI:https://doi.org/10.1103/PhysRevA.46.7869· OSTI ID:6889073

Landman, M ^[1]; Papanicolaou, G C ^[2]; Sulem, C ^[3]; Sulem, P L ^[4]; Wang, X P ^[5]

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1. BHP Melbourne Research Laboratories, P.O. Box 264, Clayton, Victoria 3168 (Australia)
2. Courant Institute of Mathematical Sciences, 251 Mercer Street, New York, New York 10012 (United States)
3. Departement de Mathematique et d'Information, Ecole Normale Superieure, Centre National de la Recherche Scientifique, 45 rue d'Ulm, 75230 Paris CEDEX 05 (France) University of Toronto, Toronto, Ontario, M5S1A1 (Canada)
4. Observatoire de la Cote d'Azur, Centre National de la Recherche Scientifique, Observatoire de Nice, Boite Postale 229, 06304 Nice CEDEX 4 (France) School of Mathematical Sciences, Tel-Aviv University, 69978 Tel-Aviv (Israel)
5. Program in Applied Mathematics, Campus Box 526, University of Colorado, Boulder, Colorado 80309-0526 (United States)

The scalar model for collapse of Langmuir waves in plasmas is studied numerically in two and three dimensions, for both radially symmetric and anisotropic initial conditions. Using a dynamic rescaling method, singular solutions are shown to become isotropic and self-similar near collapse. In two dimensions, the self-similar profile is not universal. In the limit where the mass of the wave tends to its minimal value for collapse, the solution approaches a subsonic regime different from the generic singularity of the nonlinear Schroedinger equation.

• OSTI ID: 6889073
• Journal Information: Physical Review A. General Physics; (United States), Journal Name: Physical Review A. General Physics; (United States) Vol. 46:12; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700340* -- Plasma Waves
Oscillations
& Instabilities-- (1992-)
ANNIHILATION
BASIC INTERACTIONS
ELECTROMAGNETIC INTERACTIONS
INTERACTIONS
ISOTROPY
MATHEMATICAL MODELS
NUMERICAL SOLUTION
PARTICLE INTERACTIONS
PLASMA
PLASMA WAVES
SINGULARITY