Blow-up of solutions to a nonlinear wave equation.
Blow-Up of solutions to nonlinear wave equations in two space dimensions.
Blow-up of the solution for higher-order Kirchhoff-type equations with nonlinear dissipation
In this paper, we consider the nonlinear Kirchhoff-type equation with initial conditions and homogeneous boundary conditions. Under suitable conditions on the initial datum, we prove that the solution blows up in finite time.
Blow-up of the solution to the initial-value problem in nonlinear three-dimensional hyperelasticity
We consider the initial value problem for the nonlinear partial differential equations describing the motion of an inhomogeneous and anisotropic hyperelastic medium. We assume that the stored energy function of the hyperelastic material is a function of the point x and the nonlinear Green-St. Venant strain tensor . Moreover, we assume that the stored energy function is with respect to x and . In our description we assume that Piola-Kirchhoff’s stress tensor depends on the tensor . This means...
Blow-up of weak solutions for the semilinear wave equations with nonlinear boundary and interior sources and damping
We focus on the blow-up in finite time of weak solutions to the wave equation with interior and boundary nonlinear sources and dissipations. Our central interest is the relationship of the sources and damping terms to the behavior of solutions. We prove that under specific conditions relating the sources and the dissipations (namely p > m and k > m), weak solutions blow up in finite time.
Blow-up results for a nonlinear hyperbolic equation with Lewis function.
Blow-up results for nonlinear hyperbolic inequalities
Blow-up Solutions of Quasilinear Hyperbolic Equations With Critical Sobolev Exponent
In this paper, we show finite time blow-up of solutions of the p−wave equation in ℝN, with critical Sobolev exponent. Our work extends a result by Galaktionov and Pohozaev [4]
Blow-Up Theorems for Nonlinear Wave Equations.
Blow-up time estimates for a non-local reactive-convective problem modelling sterilization of food
Blow-up time estimates for a non-local reactive-convective problem modelling sterilization of food
Blow-up time of some nonlinear wave equations.
Boundary conditions for the Einstein-Christoffel formulation of Einstein's equations.
Boundary control of a symmetric hyperbolic system with nonlinear boundary conditions
Boundary control theory for hyperbolic and parabolic partial differential equations with constant coefficients
Boundary controllability of hyperbolic equations.
Boundary layers and glancing blow-up in nonlinear geometric optics
Boundary layers in weak solutions of hyperbolic conservation laws. III: Vanishing relaxation limits.
Boundary observability for the space semi-discretizations of the wave equation
Boundary observability for the space semi-discretizations of the 1 – d wave equation
We consider space semi-discretizations of the 1-d wave equation in a bounded interval with homogeneous Dirichlet boundary conditions. We analyze the problem of boundary observability, i.e., the problem of whether the total energy of solutions can be estimated uniformly in terms of the energy concentrated on the boundary as the net-spacing h → 0. We prove that, due to the spurious modes that the numerical scheme introduces at high frequencies, there is no such a uniform bound. We prove however a...