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Existence and uniqueness of global strong solutions for one-dimensional compressible Navier-Stokes equations
global strong solutions one-dimensional compressible Navier-Stokes equations
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2015/10/15
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...
Existence of solutions for a higher order non-local equation appearing in crack dynamics
Hydraulic fractures Higher order equation Non-local equation Thin film equation Non-negative solutions periodic Hilbert transform
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2015/10/15
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...
Existence and regularity of extremal solutions for a mean-curvature equation
Mean curvature minimal solution semi-stable solution extremal solution regularity
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2015/10/15
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...
EXISTENCE AND ASYMPTOTICS OF FRONTS IN NON LOCAL COMBUSTION MODELS
EXISTENCE ASYMPTOTICS NON LOCAL COMBUSTION MODELS
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2015/10/15
We prove the existence and give the asymptotic behavior of non local fronts in homogeneous media.
Traveling fronts in porous media: existence and a singular limit
Traveling fronts porous media existence singular limit
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2015/7/14
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
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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
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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
MLE in Location and Dispersion Effects Models Censored Data
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2015/3/20
The Existence of MLE in Location and Dispersion Effects Models with Censored Data.
Existence of three solutions to a non-homogeneous multi-point BVP of second order differential equations
Second order differential equation with p-Laplacian generalized Sturm-Liouville boundary value problem fixed point theorem in cone
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2011/4/6
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
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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
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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...
Existence and approximation of solutions for nonlocal boundary value problems with mixed nonlinearities
Quasilinearization three-point boundary value problem
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2010/9/20
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...
Existence of multiple positive solutions for even order Sturm-Liouville dynamic equations
Dynamic equation green’s function positive solution
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2010/9/20
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...
Existence and Non-existence of Fisher-KPP Transition Fronts
Existence Non-existence Fisher-KPP Transition Fronts
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2011/1/20
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
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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...