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Blow-up for 3-D compressible isentropic Navier-Stokes-Poisson equations
We study compressible isentropic Navier-Stokes-Poisson equations in ℝ 3 . With some appropriate assumptions on the density, velocity and potential, we...
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Type II blow-up for a semilinear heat equation with potential
Using a quasi-monotonicity formula and some energy estimates, we obtained that all non-collapsing finite time blow-up solutions to the heat equation
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Submanifolds of ℙn(l) with Splitting Tangent Sequence
Let l be a line in a projective space ℙ n . We consider the blowing up ℙ n ( l ) of ℙ n along l . Assume that X is a smooth closed subvariety of ℙ n . If the...
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Favorable-Pressure-Gradient Influence on Supersonic Film Cooling with Turbulent Main Flow
Cooling of a hot supersonic turbulent boundary-layer flow by wall-parallel blowing of a high-heat-capacity gas through a backward-facing step is an...
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Prescribed Gauss curvature flow on surfaces with negative Euler characteristic
We give a flow approach to the prescribed Gaussian curvature problem on compact surfaces with negative Euler characteristic. We identify an explicit...
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Analysis of blow-up behavior of solutions to CVIEs
In this paper, we consider the necessary and sufficient conditions of blow-up property of solutions to cordial Volterra integral equations (CVIEs)....
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The Gulag
Ice crystals danced on the wind blowing through the cracks between the wooden slats that served as the only barrier between inside and out. Anya...
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Bubbling solutions for mean field equations with variable intensities on compact Riemann surfaces
For an asymmetric sinh-Poisson problem arising as a mean field equation of equilibrium turbulence vortices with variable intensities of interest in...
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Blow-up versus global existence of solutions for reaction–diffusion equations on classes of Riemannian manifolds
It is well known from the work of Bandle et al. (J Differ Equ 251:2143–2163, 2011) that the Fujita phenomenon for reaction–diffusion evolution...
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Blow-up of solutions for a quasilinear system with degenerate dam** terms
In this work, we consider a quasilinear system of viscoelastic equations with degenerate dam** and general source terms. According to some suitable...
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Renormalized solutions to nonlinear parabolic problems with blowing up coefficients and general measure data
An existence result is established for a class of quasilinear parabolic problem which is a diffusion type equations having continuous coefficients...
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Finite time blow-up for a nonlinear viscoelastic Petrovsky equation with high initial energy
In this paper, we study the initial boundary value problem for a Petrovsky type equation with a memory term, a linear weak dam** and superlinear...
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On Singularities of Certain Non-linear Second-Order Ordinary Differential Equations
The method of blowing up points of indeterminacy of certain systems of two ordinary differential equations is applied to obtain information about the...
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Collapse Versus Blow-Up and Global Existence in the Generalized Constantin–Lax–Majda Equation
The question of finite-time singularity formation versus global existence for solutions to the generalized Constantin–Lax–Majda equation is studied,...
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Blow Up of Solutions of a Nonlinear Anomalous Reaction-Diffusion System
First, by a probabilistic approach through the Feynman-Kac representation, we obtain a sufficient condition for the blow up in infinite time of the...