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Blowup for a Damped Wave Equation with Mass and General Nonlinear Memory
We investigate the blowup conditions to the Cauchy problem for a semilinear wave equation with scale-invariant dam**, mass and general nonlinear...
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A New Blowup Criterion to the Cauchy Problem for the Three-Dimensional Compressible Viscous Micropolar Fluids with Vacuum
In this paper, we prove a new blowup criterion for the strong solution to the Cauchy problem of three-dimensional micropolar fluid equation with...
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On reduction numbers and Castelnuovo–Mumford regularity of blowup rings and modules
We prove new results on the interplay between reduction numbers and the Castelnuovo–Mumford regularity of blowup algebras and blowup modules, the key...
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Asymptotic stability of explicit infinite energy blowup solutions of the 3D incompressible Navier-Stokes equations
In this paper, we study the dynamical stability of a family of explicit blowup solutions of the three-dimensional (3D) incompressible Navier-Stokes...
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Blowup Analysis of a Hysteresis Model Based Upon Singular Perturbations
In this paper, we provide a geometric analysis of a new hysteresis model that is based upon singular perturbations. Here hysteresis refers to a type...
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Remarks on Blowup of Solutions for Compressible Navier–Stokes Equations with Revised Maxwell’s Law
In this note, we study the blowup of classical solutions to the three-dimensional compressible Navier–Stokes equations with revised Maxwell’s law....
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Analytical Blowup Solutions to the Compressible Euler Equations with Time-depending Dam**
In this paper, the analytical blowup solutions of the N-dimensional radial symmetric compressible Euler equations are constructed. Some previous...
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The Global Solution and Blowup of a Spatiotemporal EIT Problem with a Dynamical Boundary Condition
We study a spatiotemporal EIT problem with a dynamical boundary condition for the fractional Dirichlet-to-Neumann operator with a critical exponent....
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Global existence and finite time blowup for a fractional pseudo-parabolic p-Laplacian equation
In this paper, we study the initial-boundary value problem for a fractional pseudo-parabolic p -Laplacian type equation. First, by means of the...
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Smooth Solution of Multi-dimensional Nonhomogeneous Conservation Law: Its Formula, and Necessary and Sufficient Blowup Criterion
In this paper, we are concerned with the necessary and sufficient condition of the global existence of smooth solutions of the Cauchy problem of the...
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Weak Serrin-type finite time blowup and global strong solutions for three-dimensional density-dependent heat conducting magnetohydrodynamic equations with vacuum
This paper is concerned with a Cauchy problem for the three-dimensional (3D) nonhomogeneous incompressible heat conducting magnetohydrodynamic (MHD)...
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Blowup for semilinear wave equation with space-dependent dam** and combined nonlinearities
This paper is concerned with the Cauchy problem for semilinear wave equation with space-dependent scattering dam** and combined nonlinearities. The...
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On refined blowup estimates for the exponential reaction-diffusion equation
We consider radial decreasing solutions of the semilinear heat equation with exponential nonlinearity. We provide a relatively simple proof of the...
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A Blowup Criteria of Smooth Solutions to the 3D Boussinesq Equations
In this work, we are concerned with the main mechanism for possible blow-up criteria of smooth solutions to the 3D incompressible Boussinesq...
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A survey of geometric constraints on the blowup of solutions of the Navier–Stokes equation
In this survey article, we will discuss some regularity criteria for the Navier–Stokes equation that provide geometric constraints on any possible...
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Well-posedness and blowup criterion to the double-diffusive magnetoconvection system in 3D
We consider the well-posedness and blowup criterion to the double-diffusive magnetoconvection system in 3D. First, we establish the existence and...
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Global existence and blowup of solutions for a semilinear Klein-Gordon equation with the product of logarithmic and power-type nonlinearity
In this paper we study the initial boundary value problem of a semilinear Klein-Gordon equation with the multiplication of logarithmic and polynomial...
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On global existence and blowup of solutions of Stochastic Keller–Segel type equation
In this paper we consider a stochastic Keller–Segel type equation, perturbed with random noise. We establish that for special types of random...