Keywords: Elastodynamics; viscous shocks; 35A20; 35L50; 35R05;
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Keywords: Partial differential equations; Optimal control; Sterile mosquitoes; 35L45; 35L50; 92D30;
Keywords: 35L50; 93B05; First order quasilinear hyperbolic system; Exact internal controllability of nodal profile; Internal control;
Keywords: compressible Euler equations; initial-boundary value problem; damping; global existence; 35L02; 35L50; 35L65;
Keywords: 35L50; 74F05Thermoelasticity; Integral type; Hyperbolic heat conduction; Global solutions; Exponential stability
Keywords: 35L50; 35L65; Non-isentropic compressible Euler equations; Relaxation; Finite-time blowup; Global existence; Long-time behavior;
Keywords: 35F46; 35L05; 35L50; 35L65; 35M13; 65J10; 65M12; 65M15; 65M60; 76M10; Time marching schemes; Dispersion; Dissipation; von Neumann analysis; Fourier analysis; Mixed wave equation;
Keywords: 35L50; 35L65; 35R35; 76N10Compressible Euler equations; Transonic; Characteristic discontinuity; Free boundary; Front tracking; Glimm functional
Initial-boundary problem for the 1-D Euler-Boltzmann equations in radiation hydrodynamics
Keywords: global existence; Euler-Boltzmann equations; initial-boundary; Glimm scheme; 35L50; 76N15; 78A40; 35D30; 35L65;
Blowup for the 3D compressible Euler equations
Keywords: 35L50; 35L65; 35L67Compressible 3D Euler equations; Cauchy problem; C1C1 solution; Blowup; Functional methods
Blowup of the axis-symmetric solutions for the IBVP of the isentropic Euler equations
Keywords: 35L50; 35L65; 35L67Compressible isentropic Euler equations; Axis-symmetry; C1C1 solution; Blowup; Regular solution
A Sommerfeld non-reflecting boundary condition for the wave equation in mixed form
Keywords: Non-reflecting boundary condition; Open boundary condition; Artificial boundary condition; Wave equation; Stabilized finite element methods; Variational multi-scale method35F46; 35L05; 35L50; 35L65; 35M13; 65J10; 65M12; 65M15; 65M60; 76M10
Asymptotic behavior of solutions to Euler–Poisson equations for bipolar hydrodynamic model of semiconductors
Keywords: 35L50; 35L60; 35L65; 76R50Euler–Poisson equations; Bipolar hydrodynamic model; Stationary solutions; Asymptotic behavior; Convergence rates
Persistence of shocks in ducts
Keywords: 35L50; 35Q31; 76L05Persistence; Euler equations; Hyperbolic system; Shock wave; Duct; Initial-boundary value problem
Elliptic regularization for the semi-linear telegraph system
Keywords: 35B25; 35J65; 35L45; 35L50; 41A60Asymptotic approximation; Boundary function method; Elliptic regularization; Order of asymptotic approximation; Telegraph system
The mixed initial-boundary value problem for diagonalizable quasilinear hyperbolic systems in the first quadrant
Keywords: 35B40; 35L50; 35Q72; Mixed initial-boundary value problem; Global classical solutions; Linearly degenerate; Asymptotic behavior; Travelling wave;
Global classical solutions of mixed initial-boundary value problem for quasilinear hyperbolic systems
Keywords: 35L50; 35Q72; 74K05Quasilinear hyperbolic system; Mixed initial-boundary value problem; Global classical solution; Linearly degenerate; Weakly linearly degenerate
Characteristic boundary layers for parabolic perturbations of quasilinear hyperbolic problems
Keywords: 35K20; 35L50; 35K60Characteristic boundary layers; Asymptotic analysis; Prandtl type equations; Nonlinear well-posedness; Weighted energy estimate
Long time behavior of classical solutions to the generalized Goursat problem of quasilinear hyperbolic systems
Keywords: 35L50; 35L60Generalized Goursat problem; Weak linearly degenerate; Global classical solution; Traveling wave
The mixed initial–boundary value problem for quasilinear hyperbolic systems with linearly degenerate characteristics
Keywords: 35L45; 35L50; 35Q72Quasilinear hyperbolic system; Mixed initial–boundary value problem; Global classical solution; Linear degeneracy
Blowup and global existence of solutions for a catalytic converter in interphase heat-transfer
Keywords: 35F30; 35L50; 80A20Blowup of solution; Global existence; Upper and lower solutions; Monotone iterations; Interphase heat-transfer; Ignition time
Global exact controllability for quasilinear hyperbolic systems of diagonal form with linearly degenerate characteristics
Keywords: 35L50; 49J20; 93B05; Quasilinear hyperbolic system; Linearly degenerate characteristic; Initial-boundary value problem; Global exact controllability;
An ultra-weak method for acoustic fluid–solid interaction
Keywords: 35L50; 65N30Fluid-solid interaction; Helmholtz equation; Navier equation; Finite element methods; Ultra-weak variational formulation
Simulations of the 2.5D inviscid primitive equations in a limited domain
Keywords: 35L50; 65M06; 76B99; 86A05Nonviscous primitive equations; Limited domains; Boundary conditions; Transparent boundary conditions; Finite difference methods
Global structure stability of Riemann solutions for general hyperbolic systems of conservation laws in the presence of a boundary
Keywords: 35L65; 35L50; 35L67Initial-boundary-value-problem; Quasilinear hyperbolic system of conservation laws; Riemann solution; Shock wave; Contact discontinuity; Global structure stability
Legendre and Chebyshev dual-Petrov–Galerkin methods for Hyperbolic equations
Keywords: 65M70; 35L50; 65M12Legendre polynomials; Chebyshev polynomials; Spectral and pseudo-spectral approximations; Hyperbolic problems; Dual-Petrov–Galerkin method
Existence and uniqueness for a nonlinear discrete hyperbolic system
Keywords: 34G20; 35L50; 39A10; 47H05Discrete hyperbolic system; Extreme conditions; Maximal monotone operator; Cauchy problem; Strong solution; Weak solution
A finite volume scheme for a model coupling free surface and pressurised flows in pipes
Keywords: 35L50; 35L65; 35Q35; 65M99; 76M12; 76Q05Water transients in pipes; Free-surface flows; Pressurised flows; Finite volume schemes; Roe scheme
Shock reflection for general quasilinear hyperbolic systems of conservation laws
Keywords: 35L65; 35L50; 35L67Mixed initial–boundary value problem; Quasilinear hyperbolic systems of conservation laws; Genuinely nonlinear; Shock wave
The generalized nonlinear initial-boundary Riemann problem for quasilinear hyperbolic systems of conservation laws
Keywords: 35L50; 35L60; 35L65; Quasilinear hyperbolic system of conservation laws; Nonlinear initial-boundary Riemann problem; Self-similar solution; Generalized nonlinear initial-boundary Riemann problem; Global piecewise C1 solution;
Well-posedness of hyperbolic initial boundary value problems
Keywords: 35L50; 35L40; Hyperbolic systems of partial differential equations; Boundary conditions; Well-posedness; Loss of derivatives; Weak Lopatinskii condition;