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Existence and Regularity of Solution of the Liquid 4He Model Coupling with an Applied Magnetic Field
In this paper, we derive a time-dependent Ginzburg-Landau model for liquid 4 He coupling with an applied magnetic field basing on the Le Châtlier...
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Capacity solution to a coupled system of parabolic–elliptic equations in Orlicz–Sobolev spaces
The existence of a capacity solution to a coupled nonlinear parabolic–elliptic system is analyzed, the elliptic part in the parabolic equation being...
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Spreading and vanishing in a West Nile virus model with expanding fronts
We study a simplified version of a West Nile virus (WNv) model discussed by Lewis et al. (2006), which was considered as a first approximation for...
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Nonlocal parabolic equation with conserved spatial integral
In this short note, we investigate the behavior of the solution for a scalar nonlocal semi-linear parabolic equation, in which the nonlocal term acts...
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Integro-PDE in Hilbert Spaces: Existence of Viscosity Solutions
Existence of a viscosity solution to a non-local Hamilton-Jacobi-Bellman equation in a Hilbert space is established. We prove that the value function...
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Well-posedness for a phase-field transition system endowed with a polynomial nonlinearity and a general class of nonlinear dynamic boundary conditions
This work is devoted to the study of a phase-field transition system of Caginalp type endowed with a general polynomial nonlinearity and a general...
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Global existence and blow-up phenomena for p-Laplacian heat equation with inhomogeneous Neumann boundary conditions
In this paper, we consider a p -Laplacian heat equation with inhomogeneous Neumann boundary condition. We establish respectively the conditions on the...
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Reaction-diffusion problems under non-local boundary conditions with blow-up solutions
This paper deals with blow-up solutions to a class of reaction-diffusion equations under non-local boundary conditions. We prove that under certain...
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Fully nonlinear curvature flow of axially symmetric hypersurfaces
Recently, fully nonlinear curvature flow of a certain class of axially symmetric hypersurfaces with boundary conditions time of existence was...
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The global existence of solutions for two classes of chemotaxis models
This paper is concerned with the global existence and uniform boundedness of solutions for two classes of chemotaxis models in two or three...
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Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations and Schauder’s estimates for a degenerate parabolic problem with dynamic boundary conditions
We consider multidimensional two-phase Stefan problem for degenerate parabolic equations of the porous medium type in classes of smooth functions....
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Asymptotic analysis for reaction-diffusion equations with absorption
In this paper, we study the blow-up and nonextinction phenomenon of reaction-diffusion equations with absorption under the null Dirichlet boundary...
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Weak-renormalized solutions for a system that models non-isothermal solidification
The aim of this paper is to prove the existence of weak-renormalized solutions to a system of the Navier-Stokes-Boussinesq kind. This system may be...
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Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states
Nonlinear Noisy Leaky Integrate and Fire (NNLIF) models for neurons networks can be written as Fokker-Planck-Kolmogorov equations on the probability...
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A degenerate parabolic system with localized sources and nonlocal boundary condition
This paper deals with the blow-up properties of the positive solutions to a degenerate parabolic system with localized sources and nonlocal boundary...
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Semi-discrete finite difference multiscale scheme for a concrete corrosion model: a priori estimates and convergence
We study a semi-discrete finite difference multiscale scheme for a concrete corrosion model consisting of a system of two-scale reaction–diffusion...
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Blow-up for an evolution p-laplace system with nonlocal sources and inner absorptions
This paper investigates the blow-up properties of positive solutions to the following system of evolution p -Laplace equations with nonlocal sources...