- Uniqueness result for semi-linear wave equations with sources
2025/10/06 by Dong Qiu, Qiu, Dong, Xiang Xu +5 · 1 citation
Engineering · Mathematics · #Boundary value problem #Damped wave #Differential Equations and Boundary Problems #Equivalence (formal languages) #Geotechnical and Geomechanical Engineering #Inverse #Inverse problem #Linearization #Nonlinear system #Numerical methods in inverse problems #Polynomial #Spectral Theory in Mathematical Physics #Stability and Controllability of Differential Equations #Uniqueness #Wave equation #Work (physics)
- Error analysis of the Strang splitting for the 3D semilinear wave equation with finite-energy data
2025/03/17 by Maximilian Ruff, Ruff, Maximilian · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Convergence (economics) #Discretization #Discretization error #Error analysis #Numerical analysis #Numerical methods for differential equations #Quantum chaos and dynamical systems #Quartic function #Torus #Wave equation #cs.NA #math.AP #math.NA
- Review of physics-informed machine-learning inversion of geophysical data
2024/01/11 by Gerard T. Schuster, Yuqing Chen, Shihang Feng · 6 citations
Computer Science · Earth and Planetary Sciences · Mathematics · #Algorithm #Applied mathematics #Artificial intelligence #Artificial neural network #Computer science #Geology #Geophysics #Inverse problem #Inversion (geology) #Machine learning #Mathematical analysis #Mathematics #Maxima and minima #Physics #Seismic Imaging and Inversion Techniques #Seismic Waves and Analysis #Seismology and Earthquake Studies #Wave equation
- Connecting the grain-shearing mechanism of wave propagation in marine sediments to fractional order wave equations
2016/12/01 by Vikash Pandey, Sverre Holm · 1 citation
Earth and Planetary Sciences · Materials Science · Physics and Astronomy · #Analogy #Coastal and Marine Dynamics #Dispersion (optics) #Dispersion relation #Equivalence (formal languages) #Fractional calculus #Interpretation (philosophy) #Material Dynamics and Properties #Rheology #Underwater Acoustics Research #Wave equation #Wave propagation #cond-mat.soft #physics.geo-ph
- Comparison of Fractional Wave Equations for Power Law Attenuation in Ultrasound and Elastography
2013/06/30 by Sverre Holm, Sven Peter Näsholm · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Attenuation #Constitutive equation #Damped wave #Fractional Differential Equations Solutions #Mathematical analysis #Mathematics #Physics #Quantum mechanics #Structural Health Monitoring Techniques #Ultrasonics and Acoustic Wave Propagation #Wave equation #physics.class-ph
- On a fractional Zener elastic wave equation
2012/12/26 by Sven Peter Näsholm, Sverre Holm · 2 citations
Engineering · Mathematics · #Acoustic Wave Phenomena Research #Attenuation #Classical mechanics #Fractional calculus #Mathematical analysis #Mathematics #Physics #Power law #Quantum mechanics #Standard linear solid model #Thermoelastic and Magnetoelastic Phenomena #Ultrasonics and Acoustic Wave Propagation #Viscoelasticity #Wave equation #Zener diode
- KAM for Reversible Derivative Wave Equations
2012/11/30 by Massimiliano Berti, M. Berti, L. Biasco +3 · 3 citations
Mathematics · Physics and Astronomy · #Cantor set #Complex system #Derivative (finance) #Nonlinear Differential Equations Analysis #Nonlinear system #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #Standing wave #Time derivative #Wave equation #math.AP #math.DS #msc:35L05 #msc:37K55
- Global solutions for the gravity water waves equation in dimension 3
2012/01/31 by Pierre Germain, Nader Masmoudi, Jilal Shatah · 50 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Dimension (graph theory) #Energy (signal processing) #Fourier transform #Geometry #Gravitational wave #Mathematical analysis #Mathematics #Navier-Stokes equation solutions #Nonlinear Waves and Solitons #Physics #Point (geometry) #Pure mathematics #Quantum mechanics #Space (punctuation) #Statistics #Wave equation #Yield (engineering)
- Linking multiple relaxation, power-law attenuation, and fractional wave equations
2011/11/01 by Sven Peter Näsholm, Sverre Holm · 5 citations
Engineering · Mathematics · #Acoustic Wave Phenomena Research #Fractional Differential Equations Solutions #Acoustic Wave Resonator Technologies #Attenuation #Fractional calculus #Wave equation #Relaxation (psychology) #Power law #Acoustic attenuation #Physics #Compressibility #Acoustic wave equation #Acoustic wave #Acoustics #Mathematical analysis #Mathematics #Mechanics #Optics
- A causal and fractional all-frequency wave equation for lossy media
2011/10/01 by Sverre Holm, Sven Peter Näsholm · 1 citation
Engineering · Mathematics · #Acoustic Wave Phenomena Research #Constitutive equation #Finite element method #Fractional Differential Equations Solutions #Fractional calculus #Lossy compression #Mathematical analysis #Mathematics #Momentum (technical analysis) #Numerical methods in engineering #Physics #Quantum electrodynamics #Standard linear solid model #Thermodynamics #Time derivative #Wave equation
- Diffractive nonlinear geometrical optics for variational wave equations and the Einstein equations
2007/07/02 by Giuseppe Alì, Giuseppe Alı̀, John K. Hunter · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Amplitude #Black Holes and Theoretical Physics #Classical mechanics #Diffraction #Einstein #Geometrical optics #Gravitational wave #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Nonlinear system #Optics #Physics #Quantum mechanics #Wave equation
- Global Conservative Solutions of the Camassa–Holm Equation
2006/05/31 by Alberto Bressan, Adrian Constantin · 51 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Applied mathematics #Camassa–Holm equation #Change of variables (PDE) #Computer science #Constant (computer programming) #Differential equation #Gravitational singularity #Integrable system #Mathematical analysis #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Ordinary differential equation #Semigroup #Set (abstract data type) #Transformation (genetics) #Wave equation
- The null condition for quasilinear wave equations in two space dimensions I
2001/09/01 by S. Alinhac, Serge Alinhac · 30 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Mathematical analysis #Mathematical physics #Mathematics #Navier-Stokes equation solutions #Null (SQL) #Pure mathematics #Space (punctuation) #Stability and Controllability of Differential Equations #Wave equation
- 3-D traveltime computation using the fast marching method
1999/04/01 by James A. Sethian, Alexander Mihai Popovici, A. Mihai Popovici · 14 citations
Earth and Planetary Sciences · Mathematics · #Algorithm #Computation #Domain (mathematical analysis) #Eikonal equation #Fast marching method #Geological formations and processes #Geometry #Mathematical analysis #Mathematics #Meteorological Phenomena and Simulations #Optics #Physics #Point (geometry) #Seismic Imaging and Inversion Techniques #Wave equation #Wavefront
- On almost global existence for nonrelativistic wave equations in 3D
1996/03/01 by Sergiu Klainerman, Sergiù Klainerman, Thomas C. Sideris · 28 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Applied mathematics #Computational Fluid Dynamics and Aerodynamics #Energy (signal processing) #Energy method #Hyperelastic material #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear system #Physics #Quadratic growth #Quantum mechanics #Stability and Controllability of Differential Equations #Wave equation
- Continuous finite elements in space and time for the nonhomogeneous wave equation
1994/02/01 by L. A. Bales, L. Bales, I. Lasiecka +1 · 2 citations
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Applied mathematics #Combinatorics #Convergence (economics) #Electromagnetic Simulation and Numerical Methods #Finite element method #Forcing (mathematics) #Linear subspace #Mathematical analysis #Mathematics #Physics #Pure mathematics #Space (punctuation) #Term (time) #Topology (electrical circuits) #Wave equation
- Newton's method and periodic solutions of nonlinear wave equations
1993/12/01 by Walter Craig, C. Eugene Wayne · 46 citations
Engineering · Mathematics · Physics and Astronomy · #Boundary value problem #Dirichlet boundary condition #Dirichlet distribution #Eigenfunction #Eigenvalues and eigenvectors #Mathematical analysis #Mathematics #Nonlinear system #Numerical methods for differential equations #Periodic boundary conditions #Physics #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations #Wave equation
- Non-linear wave and Schrödinger equations
1993/04/01 by Israel Michael Sigal, I. M. Sigal · 5 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Linear equation #Linear stability #Linear system #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear system #Periodic wave #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Quasiperiodic function #Schrödinger equation #Spectral Theory in Mathematical Physics #Stability (learning theory) #Traveling wave #Wave equation
- The cauchy problem for non-linear Klein-Gordon equations
1993/03/01 by Jacques Simon, Jacques C. H. Simon, Erik Taflin · 3 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Hilbert space #Klein–Gordon equation #Mathematical analysis #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Physics #Pure mathematics #Wave equation
- Wave-equation trace interpolation
1987/07/01 by Joshua Ronen · 4 citations
Earth and Planetary Sciences · Mathematics · #Algorithm #Aliasing #Computer science #Filter (signal processing) #Frame (networking) #Geology #Geophysical and Geoelectrical Methods #Interpolation (computer graphics) #Inversion (geology) #Mathematical analysis #Mathematics #Offset (computer science) #Operator (biology) #Seismic Imaging and Inversion Techniques #Seismic Waves and Analysis #Wave equation
- XI.—Reciprocity. Part III: Reciprocal Wave Functions
1940/01/01 by Max Born, Klaus Fuchs · 1 citation
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · Psychology · #Fourier transform #Geometry #Geophysics and Gravity Measurements #Mathematical analysis #Mathematics #Particle Accelerators and Free-Electron Lasers #Philosophy #Physics #Psychology #Quantum mechanics #Reciprocal #Reciprocity (cultural anthropology) #Relativity and Gravitational Theory #Scalar (mathematics) #Social psychology #Theoretical physics #Wave equation #Wave function
- A skew-adjoint VTI elastic wave equation for full-waveform inversion
2026/07/26 by Wu Wu, Bo Wu, Gang Yao +4
Earth and Planetary Sciences · #Adjoint equation #Boundary value problem #High-pressure geophysics and materials #Inverse problem #Inversion (geology) #Jacobian matrix and determinant #Nonlinear system #Operator (biology) #Seismic Imaging and Inversion Techniques #Seismic Waves and Analysis #Wave equation