Blowup for a non-Newtonian polytropic filtration system coupled via nonlinear boundary flux.
Blowup for degenerate and singular parabolic equation with nonlocal source.
Blowup for degenerate and singular parabolic system with nonlocal source.
Blow-up for nonlinear wave equations with slowly decaying data.
Blow-up for p-Laplacian parabolic equations.
Blow-up for the compressible isentropic Navier-Stokes-Poisson equations
We will show the blow-up of smooth solutions to the Cauchy problems for compressible unipolar isentropic Navier-Stokes-Poisson equations with attractive forcing and compressible bipolar isentropic Navier-Stokes-Poisson equations in arbitrary dimensions under some restrictions on the initial data. The key of the proof is finding the relations between the physical quantities and establishing some differential inequalities.
Blow-up for the energy-critical nonlinear wave equation and Schrödinger equation with inverse-square potential
We give a sufficient condition under which the solutions of the energy-critical nonlinear wave equation and Schrödinger equation with inverse-square potential blow up. The method is a modified variational approach, in the spirit of the work by Ibrahim et al. [Anal. PDE 4 (2011), 405-460].
Blow-up for the focusing energy critical nonlinear Schrödinger equation with confining harmonic potential
The focusing nonlinear Schrödinger equation (NLS) with confining harmonic potential , is considered. By modifying a variational technique, we shall give a sufficient condition under which the corresponding solution blows up.
Blowup in nonlinear parabolic equations
Blow-up of a nonlocal p-Laplacian evolution equation with critical initial energy
This paper is concerned with the initial boundary value problem for a nonlocal p-Laplacian evolution equation with critical initial energy. In the framework of the energy method, we construct an unstable set and establish its invariance. Finally, the finite time blow-up of solutions is derived by a combination of the unstable set and the concavity method.
Blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
Blow-up of nonnegative solutions to quasilinear parabolic inequalities
We investigate critical exponents for blow-up of nonnegative solutions to a class of parabolic inequalities. The proofs make use of a priori estimates of solutions combined with a simple scaling argument.
Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains.
Blow-up of radially symmetric solutions of a non-local problem modelling Ohmic heating.
Blowup of small data solutions for a quasilinear wave equation in two space dimensions.
Blow-up of solutions for a system of nonlinear wave equations with nonlinear damping.
Blow-up of solutions for the Kirchhoff equation of q-Laplacian type with nonlinear dissipation
We establish the blow-up of solutions to the Kirchhoff equation of q-Laplacian type with a nonlinear dissipative term , x ∈ Ω, t > 0.
Blowup of solutions of a nonlinear wave equation.
Blow-Up of Solutions of Nonlinear Wave Equations in Three Space Dimensions.
Blow-up of solutions to a nonlinear wave equation.