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Blow-Up Sequences and Blow-Up Limits
Let D be an open set in \(\mathbb {R}^d\) and...
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On blow up for a class of radial Hartree type equations
We study a class of Hartree type equations and prove a quantitative blow up rate for their blow up solutions. This is an analogue of the result by...
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Stabilization and Blow-up in an Infinite Memory Wave Equation with Logarithmic Nonlinearity and Acoustic Boundary Conditions
In this paper, the authors consider the stabilization and blow up of the wave equation with infinite memory, logarithmic nonlinearity and acoustic...
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Blow-up conditions for a semilinear parabolic system on locally finite graphs
In this paper, we investigate a blow-up phenomenon for a semilinear parabolic system on locally finite graphs. Under some appropriate assumptions on...
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Viscoelastic plate equation with variable exponents: existence and blow-up
A nonlinear viscoelastic plate equation with variable exponents have been discussed in the present paper. Under various suitable condition on...
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Global Existence and Finite Time Blow-up for the m-Laplacian Parabolic Problem
In this paper, we consider an initial boundary value problem of m -Laplacian parabolic equation arising in various physical models. We tackle this...
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Finite Time Blow-up for Heat Flows of Self-induced Harmonic Maps
Let M n be an embedded closed submanifold of ℝ k +1 or a smooth bounded domain in ℝ n , where n ≥ 3. We show that the local smooth solution to the heat...
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Blow-Up and Global Existence of Solutions to Degenerate Kirchhoff Equation with Variable Source
In this paper, we mainly study the classification of global existence and blow-up of solutions to degenerate Kirchhoff problems for the initial...
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Saddle-Type Blow-Up Solutions with Computer-Assisted Proofs: Validation and Extraction of Global Nature
In this paper, blow-up solutions of autonomous ordinary differential equations (ODEs) which are unstable under perturbations of initial points,...
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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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Blow-Up Solutions for the Space-Time Fractional Evolution Equation
This paper focuses on the blow-up solutions of the space-time fractional equations with Riemann–Liouville type nonlinearity in arbitrary-dimensional...
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Blow-Up Phenomena for a Sixth-Order Partial Differential Equation with a General Nonlinearity
In this paper, we study the blow-up results for the sixth-order time-dependent partial differential equation (PDE). First, we establish the existence...
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Finite Time Blow-Up Behaviors of Strong Solutions to the Compressible Navier-Stokes Equations
In this paper, we are interested in the finite time blow-up behaviors of strong solutions to the compressible Navier-Stokes equations with vacuum as...
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A sufficient and necessary condition for one dimensional boundary blow-up problem with p-Laplace operator
The existence, uniqueness and asymptotic behavior for one dimensional boundary blow-up problem with p-Laplace operator has been investigated. This...
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Blow-up analysis on line bundles over a compact Riemann surface with smooth boundary
Using the method of blow-up analysis, we derive two Trudinger-Moser inequalities on a smooth line bundle over a compact Riemann surface with smooth...
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Geometric Blow-Up for Folded Limit Cycle Manifolds in Three Time-Scale Systems
Geometric singular perturbation theory provides a powerful mathematical framework for the analysis of ‘stationary’ multiple time-scale systems which...
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Blow-Up of Solutions of Coupled Parabolic Systems and Hyperbolic Equations
AbstractThe problem of the blow-up of solutions of coupled systems of nonlinear parabolic and hyperbolic equations of second order is studied. The...
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Necessary Codimension One Components of the Projection of the Jacobian Blow-Up
For a complex analytic function, the exceptional divisor of the jacobian blow-up is of great importance. In this short paper, we show what a lemma...