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We consider Navier-Stokes equations for compressible viscous fluids in one dimension. It is a well known fact that if the initial datum are smooth and the initial density is bounded by below by a posi...
In this paper, we prove the existence of non-negative solutions for a non-local higher order degenerate parabolic equation arising in the modeling of hydraulic fractures. The equation is similar to th...
We study a class of mean curvature equations −Mu = H +λup where M denotes the mean curvature operator and for p ≥ 1. We show that there exists an extremal parameter λ∗ such that this equat...
We prove the existence and give the asymptotic behavior of non local fronts in homogeneous media.
We consider a model for the propagation of a subsonic detonation wave through a porous medium introduced by Sivashinsky [8]. We show that it admits travelling wave solutions that converge in the limit...
Existence of pulsating waves in a model of flames in sprays     pulsating waves  model of flames in sprays       font style='font-size:12px;'> 2015/7/14
A one-dimensional system describing the propagation of low Mach number flames in sprays is studied. We show that pulsating waves may exist when the droplet distribution in the unburnt region is spatia...
Existence and Non-existence of Fisher-KPP Transition Fronts     Existence  Non-existence  Fisher-KPP       font style='font-size:12px;'> 2015/7/14
We consider Fisher-KPP-type reaction-diffusion equations with spatially inhomogeneous reaction rates. We show that a sufficiently strong localized inhomogeneity may prevent existence of transition-fro...
The Existence of MLE in Location and Dispersion Effects Models with Censored Data.
This paper is concerned with a non-homogeneous multi-point boundary value problem of second order differential equation with one-dimensional p-Laplacian. Using multiple fixed point theorems, sufficien...
A note on non-existence of (8,4)-2 Burst error correcting code     Perfect codes  Burst-error  Parity-check matrix       font style='font-size:12px;'> 2010/9/26
This paper presents the non-existence of (8,4)-2 burst error correcting perfect code over GF(2). An (n,k) linear code is said to be perfect if for some positive integer b, it corrects all b and fewer ...
On non-existence of some (1,2)-optimal codes     Optimal codes  Burst-error  Parity-check matrix       font style='font-size:12px;'> 2010/9/26
This paper presents the non-existence of certain blockwise burst error correcting (1,2)-Optimal linear codes over GF(q) (q is a prime) where the code length n is divided into two sub-blocks of lengths...
In this paper, we study a second-order boundary value problem involving mixed nonlinearities in the differential equation and nonlinear nonlocal general three-point boundary conditions. We develop a g...
First, we establish the existence of at least three positive solutions by using the well-known Leggett-Williams fixed point theorem. We also establish the existence of at least 2m-1 positive solutions...
We consider Fisher-KPP-type reaction-diffusion equations with spatially inhomogeneous re- action rates. We show that a sufficiently strong localized inhomogeneity may prevent existence of transition-...
On the existence of stable charged Q-balls     stable charged Q-balls  math       font style='font-size:12px;'> 2010/11/24
This paper concerns hylomorphic solitons, namely stable, solitary waves whose existence is related to the ratio energy/charge. In theoretical physics, the name Q-ball refers to a type of hylomorphic s...

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