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On the Existence, Decay and Blowup of Solutions for a Quasilinear Hyperbolic Equations Involving the Weighted \(p-\)Laplacian with Source Terms
In this work, we study the global existence, decay and blowup of solutions for a quasilinear hyperbolic equations involving the weighted
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Blowup for nonlinearly damped viscoelastic equations with logarithmic source and delay terms
In this work, we investigate blowup phenomena for nonlinearly damped viscoelastic equations with logarithmic source effect and time delay in the...
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Asymptotic Stability of Explicit Blowup Solutions for Three-Dimensional Incompressible Magnetohydrodynamics Equations
This paper is devoted to the study of dynamical behavior near explicit finite time blowup solutions for three-dimensional incompressible...
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Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics
In this paper, we prove that for certain class of initial data, the corresponding solutions to the 3-D viscous primitive equations blow up in finite...
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Blowup Rate Estimates of a Singular Potential and Its Gradient in the Landau-de Gennes Theory
In this paper, we revisit a singular bulk potential in the Landau-de Gennes free energy that describes nematic liquid crystal configurations in the...
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“Local-in-space” Blowup Criterion for a Weakly Dissipative Dullin–Gottwald–Holm Equation
We are concerned with the blowup phenomena of a dissipative Dullin–Gottwald–Holm equation which can describe unidirectional propagation of surface...
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Linear stability of blowup solution of incompressible Keller–Segel–Navier–Stokes system
In this paper, we consider the linear stability of blowup solution for incompressible Keller–Segel–Navier–Stokes system in whole space
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Universal Upper Bound on the Blowup Rate of Nonlinear Schrödinger Equation with Rotation
In this chapter, we prove a universal upper bound on the blowup rate of a focusing nonlinear Schrödinger equation with an angular momentum under a...
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Defining Equations of Blowup Algebras
This is the content of four lectures on Rees rings and their defining equations delivered at the CIME workshop Recent developments in Commutative...
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Nash blowups of toric varieties in prime characteristic
We initiate the study of the resolution of singularities properties of Nash blowups over fields of prime characteristic. We prove that the iteration...
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Global existence, energy decay, and blowup of solutions for a wave equation type p-Laplacian with memory term and dynamic boundary conditions
It is very important to take into consideration the forces which cause or modify the movements of a particle to know its behavior. In this work, we...
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A higher-order tangent map and a conjecture on the higher Nash blowup of curves
We introduce a higher-order version of the tangent map of a morphism and find a matrix representation. We then apply this matrix to solve a...
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Blowup criteria of a dissipative system modeling electrohydrodynamics in sum spaces
In this paper, we consider some sufficient conditions for the breakdown of local smooth solutions to the Cauchy problem of the 3D...