- Global well-posedness for the derivative nonlinear Schrödinger equation
2022/04/25 by Hajer Bahouri, Galina Perelman · 3 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Bounded function #Cauchy distribution #Cauchy problem #Derivative (finance) #Initial value problem #Mathematical Analysis and Transform Methods #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Schrödinger equation #Nonlinear Waves and Solitons #Nonlinear system #Norm (philosophy) #Physics #Pure mathematics #Quantum mechanics #Schrödinger equation #Sobolev space
- Approaching optimality in blow-up results for Keller–Segel systems with logistic-type dampening
2020/07/02 by Mario Fuest · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Boundary value problem #Bounded function #Construct (python library) #Gene Regulatory Network Analysis #Initial value problem #Mathematical Biology Tumor Growth #Neumann boundary condition #Term (time) #math.AP #msc:35B33 #msc:35B44 #msc:35K65 #msc:92C17
- Mass Inflation and the C2-inextendibility of Spherically Symmetric Charged Scalar Field Dynamical Black Holes
2020/01/31 by Maxime Van de Moortel, Maxime Van de Moortel · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cauchy distribution #Cauchy problem #Circular symmetry #Cosmic censorship hypothesis #Cosmology and Gravitation Theories #Event horizon #Horizon #Inflation (cosmology) #Initial value problem #Noncommutative and Quantum Gravity Theories #Scalar field #gr-qc #math-ph #math.AP #math.MP
- The Cauchy problem for the Euler-Poisson system and derivation of the Zakharov-Kuznetsov equation
2012/05/23 by David Lannes, Felipe Linares, Lannes, David +4 · 6 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Amplitude #Applied mathematics #Cauchy distribution #Cauchy problem #Computational Fluid Dynamics and Aerodynamics #Euler equations #Euler's formula #Initial value problem #Isothermal process #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Navier-Stokes equation solutions #Physics #Poisson distribution #Poisson's equation #Quantum mechanics #Term (time) #Zero (linguistics) #math.AP
- Approach to equilibrium of diffusion in a logarithmic potential
2011/06/30 by Ori Hirschberg, David Mukamel, Gunter M. Schütz · 2 citations
Mathematics · Physics and Astronomy · #Diffusion #Distribution (mathematics) #Distribution function #Exponent #Fractional Differential Equations Solutions #Function (biology) #Geometry #Initial value problem #Logarithm #Mathematical analysis #Mathematical physics #Mathematics #Physics #Scaling #Statistical Mechanics and Entropy #Statistical physics #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech
- Long time dynamics for the one dimensional non linear Schrödinger equation
2010/02/22 by Nicolas Burq, Laurent Thomann, Burq, Nicolas +3 · 3 citations
Mathematics · #35BXX #35Q55 #37K05 #37L50 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Applied mathematics #Cauchy distribution #FOS: Mathematics #Harmonic #Harmonic potential #Initial value problem #Invariant (physics) #Mathematical Analysis and Transform Methods #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear system #Physics #Quantum mechanics #advanced mathematical theories #math.AP #msc:35BXX #msc:35Q55 #msc:37K05 #msc:37L50
- Current Fluctuations in One Dimensional Diffusive Systems with a Step Initial Density Profile
2009/07/31 by Bernard Derrida, B. Derrida, A. Gerschenfeld +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Current (fluid) #Current density #Distribution (mathematics) #Initial value problem #Range (aeronautics) #Simple (philosophy) #Stochastic processes and statistical mechanics #Symmetry (geometry) #Theoretical and Computational Physics #cond-mat.stat-mech
- Initial Boundary Value Problems of the Camassa–Holm Equation
2008/03/03 by Joachim Escher, Zhaoyang Yin · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Algebraic structures and combinatorial models #Boundary (topology) #Boundary value problem #Camassa–Holm equation #Cauchy boundary condition #Combinatorics #Free boundary problem #Geometry #Initial value problem #Integrable system #Interval (graph theory) #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Symmetry (geometry)
- Persistence Properties and Unique Continuation of Solutions of the Camassa-Holm Equation
2007/02/07 by A. Alexandrou Himonas, Gerard Misiołek, Gustavo Ponce +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Camassa–Holm equation #Cauchy problem #Continuation #Exponential growth #Initial value problem #Integrable system #Mathematical analysis #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Persistence (discontinuity) #Zero (linguistics)
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
2006/12/28 by ALBERTO BRESSAN, Alberto Bressan, Adrian Constantin +1 · 5 citations
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Bounded function #Bounded variation #Breaking wave #Camassa–Holm equation #Cauchy problem #Continuation #Dissipative system #Gravitational singularity #Initial value problem #Integrable system #Mathematical analysis #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Semigroup #Space (punctuation) #Term (time) #Transformation (genetics) #Wave equation #Wave propagation
- Riemann–Hilbert approach for the Camassa–Holm equation on the line
2006/11/13 by Anne Boutet de Monvel, Dmitry Shepelsky · 1 citation
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Algebraic structures and combinatorial models #Advanced Differential Equations and Dynamical Systems #Mathematics #Initial value problem #Camassa–Holm equation #Piecewise #Cauchy problem #Mathematical physics #Riemann hypothesis #Mathematical analysis #Integrable system
- Convergence of a Finite Difference Scheme for the Camassa–Holm Equation
2006/01/01 by Helge Holden, Xavier Raynaud · 5 citations
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Advanced Mathematical Physics Problems #Fractional Differential Equations Solutions #Mathematics #Camassa–Holm equation #Convergence (economics) #Initial value problem #Mathematical analysis #Finite difference method #Finite difference #Central differencing scheme #Boundary value problem #Scheme (mathematics) #Finite difference scheme #Energy method #Applied mathematics #Finite difference coefficient #Finite element method #Physics #Mixed finite element method #Integrable system
- A convergent numerical scheme for the Camassa--Holm equation based on multipeakons
2006/01/01 by Helge Holden, Xavier Raynaud · 3 citations
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Nonlinear Photonic Systems #Algebraic structures and combinatorial models #Camassa–Holm equation #Sequence (biology) #Mathematics #Initial value problem #Scheme (mathematics) #Mathematical physics #Physics #Mathematical analysis #Pure mathematics #Integrable system
- Blow-up, blow-up rate and decay of the solution of the weakly dissipative Camassa-Holm equation
2006/01/01 by Shuyin Wu, Zhaoyang Yin · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Camassa–Holm equation #Dissipative system #Initial value problem #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Physics #Sign (mathematics) #Thermodynamics #Zero (linguistics)
- THE INITIAL VALUE PROBLEM IN NUMERICAL RELATIVITY
2005/06/01 by HARALD P. PFEIFFER, Harald Pfeiffer · 1 citation
Mathematics · Physics and Astronomy · #Applied mathematics #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Classical mechanics #Conformal map #Curvature #Einstein #Formalism (music) #General relativity #Geometry #Initial value problem #Lagrangian #Mathematical analysis #Mathematics #Numerical relativity #Physics #Pulsars and Gravitational Waves Research #Theoretical physics #Theory of relativity
- Characteristics and the initial value problem of a completely integrable shallow water equation
2003/01/01 by Roberto Camassa · 3 citations
Physics and Astronomy · Engineering · Mathematics · #Nonlinear Waves and Solitons #Numerical methods in engineering #Numerical methods for differential equations #Integrable system #Mathematics #Shallow water equations #Initial value problem #Partial differential equation #Waves and shallow water #Mathematical analysis #Riemann problem #Class (philosophy) #Wave equation #Applied mathematics #Riemann hypothesis #Physics #Computer science
- On the Cauchy Problem for a Nonlinearly Dispersive Wave Equation
2003/01/01 by Zhaoyang Yin · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Cauchy problem #Damped wave #Dispersive partial differential equation #Hyperbolic partial differential equation #Initial value problem #Navier-Stokes equation solutions #Nonlinear Waves and Solitons #Wave equation #Well-posed problem #math.AP
- Camassa–Holm, Korteweg–de Vries and related models for water waves
2002/03/25 by R. S. Johnson · 23 citations
Physics and Astronomy · Earth and Planetary Sciences · Mathematics · #Nonlinear Waves and Solitons #Nonlinear Photonic Systems #Ocean Waves and Remote Sensing #Camassa–Holm equation #Korteweg–de Vries equation #Mathematics #Mathematical analysis #Context (archaeology) #Independent equation #Shallow water equations #Initial value problem #Dispersionless equation #Physics #Nonlinear system #Differential equation #Kadomtsev–Petviashvili equation #Integrable system #Characteristic equation #Geology
- On the ill-posedness of some canonical dispersive equations
2001/02/15 by Carlos E. Kenig, Gustavo Ponce, Luis Vega · 51 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Argument (complex analysis) #Geometry #Index (typography) #Initial value problem #Mathematical analysis #Mathematics #Navier-Stokes equation solutions #Nonlinear Waves and Solitons #Property (philosophy) #Scaling #Sobolev space #Well-posed problem
- Numerical methods for ordinary differential equations in the 20th century
2000/12/01 by J.C. Butcher, J. C. Butcher · 3 citations
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Applied mathematics #Backward differentiation formula #Calculus (dental) #Collocation method #Computer science #Differential algebraic equation #Differential equation #Electromagnetic Simulation and Numerical Methods #Exact differential equation #Explicit and implicit methods #Exponential integrator #Initial value problem #Linear multistep method #Mathematical analysis #Mathematics #Numerical analysis #Numerical methods for differential equations #Numerical methods for ordinary differential equations #Ordinary differential equation #Runge–Kutta methods #Subject (documents)
- Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation
1998/05/01 by Adrian Constantin, Joachim Escher · 67 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Amplitude #Applied mathematics #Class (philosophy) #Gravitational singularity #Initial value problem #Mathematical analysis #Mathematics #Navier-Stokes equation solutions #Nonlinear Waves and Solitons #Physics #Uniqueness
- Gravitational Collapse: A Case for Thermal Relaxation
1997/10/28 by L. Herrera, J. Martinez, J. Martínez · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gravitation #Gravitational collapse #Initial value problem #Pulsars and Gravitational Waves Research #Range (aeronautics) #Relaxation (psychology) #SPHERES #Thermal #astro-ph #gr-qc
- The Cauchy Problem for the Ishimori Equation
1996/07/01 by Li-yeng Sung · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Applied mathematics #Boundary value problem #Cauchy boundary condition #Cauchy distribution #Cauchy problem #Gauge (firearms) #Geophysics and Sensor Technology #Initial value problem #Mathematical analysis #Mathematics #Neumann boundary condition #Nonlinear Waves and Solitons #Transformation (genetics)
- Generalized Strichartz Inequalities for the Wave Equation
1995/10/01 by J. Ginibre, G. Velo · 16 citations
Mathematics · #Advanced Mathematical Physics Problems #Cauchy problem #Differential Equations and Boundary Problems #Inequality #Initial value problem #Mathematical Analysis and Transform Methods #Mathematical analysis #Mathematics #Pure mathematics #Space (punctuation) #Wave equation
- On a nonlinear hyperbolic variational equation: II. The zero-viscosity and dispersion limits
1995/01/01 by John K. Hunter, Yuxi Zheng · 4 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Dispersion (optics) #Hyperbolic partial differential equation #Initial value problem #Limit (mathematics) #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Nonlinear system #Partial differential equation #Physics #Quantum mechanics #Thermodynamics #Viscosity #Viscosity solution #Zero (linguistics)
- Saddle points and instability of nonlinear hyperbolic equations
1975/12/01 by L. E. Payne, D. H. Sattinger · 42 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Boundary value problem #Geometry #Hyperbolic partial differential equation #Initial value problem #Instability #Mathematical analysis #Mathematical optimization #Mathematics #Navier-Stokes equation solutions #Nonlinear system #Operator (biology) #Partial differential equation #Saddle #Saddle point #Stability and Controllability of Differential Equations
- The Cauchy problem for quasi-linear symmetric hyperbolic systems
1975/01/01 by Tosio Kato · 89 citations
Mathematics · #Applied mathematics #Artificial intelligence #Cauchy distribution #Cauchy problem #Complex system #Computer science #Differential Equations and Boundary Problems #Hyperbolic partial differential equation #Initial value problem #Mathematical analysis #Mathematics #Nonlinear system #Partial differential equation #Physics #Spectral Theory in Mathematical Physics #advanced mathematical theories
- Method for Solving the Korteweg-deVries Equation
1967/11/06 by Clifford S. Gardner, J. M. Greene, Martin D. Kruskal +1 · 56 citations
Physics and Astronomy · Mathematics · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Nonlinear Photonic Systems #Korteweg–de Vries equation #Initial value problem #Physics #Constant (computer programming) #Mathematical physics #Mathematical analysis #Equation solving #Value (mathematics) #Applied mathematics #Mathematics #Partial differential equation #Quantum mechanics #Computer science #Nonlinear system
- Le problème de Cauchy pour les équations différentielles d'un fluide général
1962/01/01 by John Purcell Nash · 7 citations
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Stability and Controllability of Differential Equations #Physics #Cauchy problem #Mathematics #Initial value problem #Mathematical analysis