Published May 2008 | Version v1
Journal article Metadata-only

Wave-breaking and generic singularities of nonlinear hyperbolic equations

Creators

  • 1. Los Alamos National Lab, CNLS, Los Alamos, NM 87545 (United States)
  • 2. Laboratoire de Photophysique Moléculaire, Bat 210, 91405 Orsay (France)
  • 3. Department of Mathematical Sciences, University of Delaware, Newark, DE 19716-2553 (United States)
  • 4. Department of Ocean Engineering, University of Rhode Island, Narragansett, RI 02882 (United States)

Description

Wave-breaking is studied analytically first and the results are compared with accurate numerical simulations of 3D wave-breaking. We focus on the time dependence of various quantities becoming singular at the onset of breaking. The power laws derived from general arguments and the singular behaviour of solutions of nonlinear hyperbolic differential equations are in excellent agreement with the numerical results. This shows the power of the analysis by methods using generic concepts of nonlinear science. (open problem)

Availability note (English)

Available from http://dx.doi.org/10.1088/0951-7715/21/5/T01

Additional details

Identifiers

DOI
10.1088/0951-7715/21/5/T01;
PII
S0951-7715(08)73578-3;

Publishing Information

Journal Title
Nonlinearity (Print)
Journal Volume
21
Journal Issue
5
Journal Page Range
p. T61-T79
ISSN
0951-7715

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
44095345
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
COMPUTERIZED SIMULATION; DIFFERENTIAL EQUATIONS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; SINGULARITY; THREE-DIMENSIONAL CALCULATIONS; TIME DEPENDENCE; WAVE EQUATIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SIMULATION