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Blowup of solutions for nonlinear nonlocal heat equations
Blowup analysis for solutions of a general evolution equation with nonlocal diffusion and localized source is performed. Sufficient conditions for...
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Nonexistence of Type II Blowup for Heat Equation with Exponential Nonlinearity
This paper deals with the blowup behavior of the radially symmetric solution of the nonlinear heat equation u t = Δ u + e u in ℝ N . The authors show the...
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Blowup Criterion of Strong Solutions to the Three-Dimensional Double-Diffusive Convection System
In this paper, we investigate some sufficient conditions for the breakdown of local strong solutions to the three-dimensional double-diffusive...
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Existence and Nonexistence of the Solutions to the Cauchy Problem of Quasilinear Parabolic Equation with a Gradient Term
This paper deals with the existence and non-xistence of the solutions to the Cauchy problem of a class of quasilinear parabolic equations with a...
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On Some Aspects of the Dynamics of a Ball in a Rotating Surface of Revolution and of the Kasamawashi Art
We study some aspects of the dynamics of the nonholonomic system formed by a heavy homogeneous ball constrained to roll without sliding on a steadily...
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Well-posedness and regularity results for a class of fractional Langevin diffusion equations
In the work presented in this paper, a study for a class of space-time fractional Langevin diffusion equations with two different time-fractional...
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Gradient profile for the reconnection of vortex lines with the boundary in type-II superconductors
In a recent work, Duong, Ghoul and Zaag determined the gradient profile for blowup solutions of standard semilinear heat equation with power...
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Movable singularity of semi linear Heun equation and application to blowup phenomenon
In this paper we shall study the movable singularity of semi linear Heun equation and its application to the blowup of a semi linear wave equation....
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Aggregation Equation and Collapse to Singular Measure
We are concerned with the dynamics of onefold symmetric patches for the two-dimensional aggregation equation associated with the Newtonian potential....
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Some special self-similar solutions for a model of inviscid liquid-gas two-phase flow
In this article, we are concerned with analytical solutions for a model of inviscid liquid-gas two-phase flow. On the basis of Yuen’s works [25,...
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Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus
We study an optimal mass threshold for normalizability of the Gibbs measures associated with the focusing mass-critical nonlinear Schrödinger...
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Lie–Trotter Splitting for the Nonlinear Stochastic Manakov System
This article analyses the convergence of the Lie–Trotter splitting scheme for the stochastic Manakov equation, a system arising in the study of pulse...
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Finite Time Blow-Up and Chemotactic Collapse in Keller–Segel Model with Signal Consumption
The occurrence of finite time blow-up phenomenon in the Keller–Segel (KS) model has always been a significant area of interest for mathematicians....
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q-Painlevé equations on cluster Poisson varieties via toric geometry
We provide a relation between the geometric framework for q -Painlevé equations and cluster Poisson varieties by using toric models of rational...
