Keywords: 35L20; 35L70; 35L80; Variational wave equation; Degenerate hyperbolic; Cauchy problem; Weighted metric space;
مقالات ISI (ترجمه نشده)
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Keywords: Nonlinear Hamiltonian wave equation; Finite difference discretization; Neumann boundary conditions; Energy-preserving algorithm; AVF formula; Oscillatory system; 35C15; 35L05; 35L70; 65L05; 65L06;
Keywords: 35L20; 35L70; 35L80; Nonlinear wave equation; Degenerate hyperbolic; Characteristic decomposition; Bootstrap;
Keywords: 37B55; 35L70; 35B41; Viscoelastic equation; Memory; Nonlinear density; Global attractors;
Keywords: 35K55; 35B35; 35L70; Hyperbolic-parabolic equation; Stability; Partial boundary condition; Well-posedness; Entropy solution;
Keywords: 35L70; 35L05; 35L65; Wave equations; Liquid crystal; Uniqueness; Generic regularity;
Keywords: primary; 35L05; 35B40; secondary; 35L70; 35B35; Wave equation; Nonlinear damping; Decay rate; Exterior domain;
Keywords: von Karman equation; general decay; infinite memory; 35L70; 35B41;
Keywords: acoustic boundary conditions; general decay; time-varying delay; variable coefficients; viscoelastic equation; 35L70; 35B40; 93D15;
Keywords: 35L20; 35L70; 35L80; Variational wave equation; Degenerate hyperbolic; Characteristic decomposition; Bootstrap;
Keywords: 35L70; 58J45; Long time existence; Klein-Gordon equations; Normal forms;
Keywords: 35R37; 35L70; 35B41; Wave equation; Non-cylindrical domain; Non-autonomous system; Pullback attractor; Critical exponent;
Keywords: primary; 35L70; secondary; 35B40; Stationary wave; Asymptotic behavior; Damped wave equation; Galerkin method;
Keywords: 35L70; 35L65; 35L67; Tricomi equation; Critical exponent; Blowup; Global existence; Strichartz estimate;
Keywords: 35L70; 35Q31; 35Q85; 76L10; 83C05; Non-linear hyperbolic equations; Nash-Moser theory; Vacuum boundary; Spherically symmetric solutions; Gaseous stars;
Keywords: 35L70; 35J15Long time existence; Harmonic oscillator; Wave equations
Keywords: 74J35; 76B25; 35L70; 35Q51Double dispersion equation; Instability by blow-up; Orbital stability
Keywords: 35L70; 65M12; 65M60Numerical analysis; Wave equation; Blow-up; Error estimate; Energy behavior; Numerical simulations
Keywords: 35L70; 35B41; 74D99Global attractor; Degenerate viscoelasticity; Past history memory; Nonlinear wave equation; Critical exponent
Keywords: 35L70; 35L20; 35B65Nonlinear hyperbolic equations; Regularity of solutions; Domain with edges
Keywords: 35L70; 35Q99; 80A20; 92D25Travelling wave; Second-order hyperbolic partial differential equation; Nonlinear; Existence; Uniqueness; Wave-speed
Keywords: 35L70; 65M06; 65M12; Nonlinear hyperbolic equation; Energy stability; Positivity; Linear iteration; Convergence analysis;
Keywords: 35L70; 35L15Kirchhoff equation; Global solvability; Ultradifferentiable class; Manfrin’s class
Keywords: 35L05; 35L15; 35L70; 93D15Well-posedness; Asymptotic behavior; Infinite memory; Frictional damping; Waves; Petrovsky
Keywords: 35L70; 35L65; 35L67; 76N15Generalized Tricomi equation; Mixed type equation; Confluent hypergeometric function; Modified Bessel functions; Calderón–Zygmund decomposition; Multiplier
Keywords: 35L70; Nonlinear wave equations; Null conditions; Weighted energy estimates;
Keywords: 35L45; 35L70; 35B40Acoustic boundary conditions; Exponential decay; Faedo–Galerkin approximations; Variable coefficients; Viscoelastic; Wave equation
Keywords: 41A30; 65L60; 65M70; 34B40; 35L70; Generalized Hermite orthogonal approximation and interpolation; Spectral method on the whole line;
Keywords: 35L70; 35L20Exterior problem; Nonlinear wave equation; Lifespan
Keywords: 35L70; 35L65; 35L67; 76N15Higher order degenerate hyperbolic equation; Hilbert transform; Piecewise smooth; Confluent hypergeometric function; Cusp singularity; Conormal space
3D mathematical model and numerical simulation for laying marine cable along prescribed trajectory on seabed
Keywords: Partial differential equation; Free boundary; Numerical simulation; Marine cable; Cable laying; 35Q35; 35R35; 35L53; 35L70; 65M06;
Global well-posedness for 2D nonlinear wave equations without compact support
Keywords: 35L05; 35L70; 35L72; Global well-posedness; Two dimensional nonlinear wave equations; Without compact support; Null condition;
Stability of the sum of two solitary waves for (gDNLS) in the energy space
Keywords: primary; 35L70; secondary; 35Q55; Generalized derivative Schrödinger equation; Orbitally stability; Solitary waves;
The global existence and large time behavior of smooth compressible fluid in an infinitely expanding ball, III: The 3-D Boltzmann equation
Keywords: 35L70; 35L65; 35L67; 76N15; Boltzmann equation; Expanding ball; Weighted energy estimate; Global existence; Vacuum state;
Well-posedness and large deviations for a class of SPDEs with Lévy noise
Keywords: 60H15; 35L05; 35L70; Well-posedness; Large deviations; Iterative approximation; Regularization; Shallow water equations;
Global regularity for supercritical nonlinear dissipative wave equations in 3D
Keywords: primary; 35L70; secondary; 35A05; Wave equation; Nonlinear damping; Supercritical; Regularity;
On the radius of spatial analyticity for cubic nonlinear Schrödinger equations
Keywords: 35Q40; 35L70; 81V10; Cubic NLS; Radius of analyticity of solution; Lower bound for the radius; Gevrey spaces;
Asymptotic stability for nonlinear damped Kirchhoff systems involving the fractional p-Laplacian operator
Keywords: primary; 35B40; 35B35; 35L70; 35L80; secondary; 35Q74; 35L20; Dissipative Kirchhoff systems; Time-dependent nonlinear damping forces; Local and global asymptotic stability; Fractional p-Laplacian operator;
Lifespan estimates for the semi-linear Klein–Gordon equation with a quadratic potential in dimension one
Keywords: 35L70; 35J15Harmonic oscillator; Klein–Gordon equations; Long time existence
Global existence to the initial-boundary value problem for a system of semilinear wave equations
Keywords: 35B35; 35L70; Energy decay; Global existence; Nonlinear wave equation; Nonlinear dissipation;
Global well-posedness and scattering for nonlinear Schrödinger equations with combined nonlinearities in the radial case
Keywords: 35L70; 35Q55Nonlinear Schrödinger equation; Combined nonlinearities; Global wellposedness; Scattering; Blowup
Global existence and blow-up of solutions for a Kirchhoff type plate equation with damping
Keywords: Kirchhoff type plate equation; Blow-up; Lifespan; Global existence; Decay35L20; 35L70; 58G16,
On the radius of spatial analyticity for the 1d Dirac-Klein-Gordon equations
Keywords: 35Q40; 35L70; Dirac-Klein-Gordon equations; Global well-posedness; Spatial analyticity; Gevrey space; Null forms;
The Glassey conjecture for nontrapping obstacles
Keywords: 35L70; 35L15Glassey conjecture; Exterior domain; Semilinear wave equations; Local energy estimates; KSS estimates; Asymptotically Euclidean manifold
On the instability problem of a 3-D transonic oblique shock wave
Keywords: 35L70; 35L65; 35L67; 76N15Supersonic flow; Potential equation; Transonic oblique shock; Modified Bessel function; Overdetermined; Unstable
Remarks on decay of small solutions to systems of Klein–Gordon equations with dissipative nonlinearities
Keywords: 35L70; 35B40; 35L15Klein–Gordon equation; Nonlinear dissipation
Hyperbolic mean curvature flow in Minkowski space
Keywords: 58J45; 58J47; 35L70; 35L45Hyperbolic mean curvature flow; Minkowski space; Quasilinear wave equation; Singularity; Life-span
Hyperbolic mean curvature flow with a forcing term: Evolution of plane curves
Keywords: 58J45; 58J47; 53C44; 35L70; 35L45Hyperbolic mean curvature flow; Hyperbolic Monge–Ampère equation; Closed plane curve; Longtime existence
Kato-type estimates for NLS equation in a scalar field and unique solvability of NKGS system in energy space
Keywords: 35A05; 35E10; 35G25; 35L70; 81Q05Kato-type estimates; Schrödinger equation; Unique solvability; Klein–Gordon–Schrödinger equations
Spectral and modulational stability of periodic wavetrains for the nonlinear Klein–Gordon equation
Keywords: 35L70; 37J25; 70H12Nonlinear Klein–Gordon equation; Periodic wavetrains; Spectral stability; Modulation theory