scientific article
From MaRDI portal
Publication:3998613
zbMath0716.35043MaRDI QIDQ3998613
Publication date: 17 September 1992
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Higher-order hyperbolic systems (35L55) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)
Related Items (60)
Stochastic wave equations with polynomial nonlinearity ⋮ A note on quasilinear wave equations in two space dimensions. II: Almost global existence of classical solutions. ⋮ Global existence for semilinear wave equations with the critical blow-up term in high dimensions ⋮ An elementary proof of global or almost global existence for quasi-linear wave equations ⋮ Cauchy problem for the Kuznetsov equation ⋮ Semilinear behavior for totally linearly degenerate hyperbolic systems with relaxation ⋮ Nonresonant bilinear forms for partially dissipative hyperbolic systems violating the Shizuta-Kawashima condition ⋮ Blow-up of solutions of semilinear wave equations in accelerated expanding Friedmann–Lemaître–Robertson–Walker spacetime ⋮ Structural stability of transonic shock flows with external force in a divergent 3-D axisymmetric perturbed nozzle ⋮ The self-interacting Dirac fields in FLRW spacetime ⋮ On the formation of shock for quasilinear wave equations with weak intensity pulse ⋮ Existence and stability of multidimensional transonic flows through an infinite nozzle of arbitrary cross-sections ⋮ Application of the iterative learning control of a non-linear MIMO wave equation ⋮ A simple example for linear partial differential equations and its solution using the method of separation of variables ⋮ Almost global solutions of semilinear wave equations with the critical exponent in high dimensions ⋮ On \({(W_2^1(\mathbb R)\cap W_\infty^1(\mathbb R))}\)-solutions of the equation \({u_{tt}=(a(u)u_x)_x+f(x,t)}\) ⋮ Invariant solutions of the supersymmetric version of a two-phase fluid flow system ⋮ Global smooth axisymmetric solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity ⋮ Global existence for a system of multiple-speed wave equations violating the null condition ⋮ Uniform estimates for 2D quasilinear wave ⋮ The combined effect in one space dimension beyond the general theory for nonlinear wave equations ⋮ Delayed singularity formation for three‐dimensional compressible Euler equations with non‐zero vorticity ⋮ The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights ⋮ Decay property of solutions to the wave equation with space‐dependent damping, absorbing nonlinearity, and polynomially decaying data ⋮ Semilinear wave equations of derivative type with spatial weights in one space dimension ⋮ Global existence for null-form wave equations with data in a Sobolev space of lower regularity and weight ⋮ Positivity and explosion in mean \(L^p\)-norm of stochastic functional parabolic equations of retarded type ⋮ Global Multidimensional Shock Waves of 2-Dimensional and 3-Dimensional Unsteady Potential Flow Equations ⋮ On the decay of solutions to the 2D Neumann exterior problem for the wave equation. ⋮ Lower bounds of the lifespan of small data solutions to the nonlinear Schrödinger equations ⋮ Global and almost global existence for general quasilinear wave equations in two space dimensions ⋮ Classical solution to relativistic Burger’s equation in SdS and SAdS space-times ⋮ Blow up of solutions of semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime ⋮ Transonic shock wave in an infinite nozzle asymptotically converging to a cylinder ⋮ Unnamed Item ⋮ On the global existence and stability of a multi-dimensional supersonic conic shock wave ⋮ Lifespan of classical solutions to quasilinear wave equations outside of a star-shaped obstacle in four space dimensions ⋮ The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions ⋮ Theorems on existence and global dynamics for the Einstein equations ⋮ Blow-up theorem for semilinear wave equations with non-zero initial position ⋮ Local and global existence theorems for the Einstein equations ⋮ Theorems on existence and global dynamics for the Einstein equations ⋮ Local and global existence theorems for the Einstein equations ⋮ Global existence of null-form wave equations on small asymptotically Euclidean manifolds ⋮ Global existence and finite time blow up for the weighted semilinear wave equation ⋮ On the instability problem of a 3-D transonic oblique shock wave ⋮ Scattering theory for semilinear wave equations with small data in two space dimensions ⋮ The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension ⋮ On global axisymmetric solutions to 2D compressible full Euler equations of Chaplygin gases ⋮ Classical solutions to relativistic Burgers equations in FLRW space-times ⋮ Structural Stability of the Transonic Shock Problem in a Divergent Three-Dimensional Axisymmetric Perturbed Nozzle ⋮ Entropy solutions for linearly degenerate hyperbolic systems of rich type ⋮ Singularity formation in a model for the vortex sheet with surface tension ⋮ Nonlinear stochastic wave equations: blow-up of second moments in \(L^{2}\)-norm ⋮ Critical curve for \(p\)-\(q\) systems of nonlinear wave equations in three space dimensions ⋮ Formation of singularities for certain hyperbolic systems in one space dimension. ⋮ Global existence for a quasilinear wave equation outside of star-shaped domains ⋮ Well-posedness and long-time behavior of Lipschitz solutions to generalized extremal surface equations ⋮ The mixed initial-boundary value problem for reducible quasilinear hyperbolic systems with linearly degenerate characteristics ⋮ Global in time self-interacting Dirac fields in the de Sitter space
This page was built for publication: