Publications related to Odd linking and bifurcation in gaps: the weakly indefinite case

Bifurcation without Frechet differentiability at the trivial solution

Criteria for the bifurcation of small solutions of an equation F(lambda,u) = 0 from a line {(lambda,0): lambda is an element of R} of trivial solutions are usually based on properties of the DuF(lambda,0) at the trivial solutions, where the partial derivat ...

Wiley-Blackwell2015

The temporal patterns of disease severity and prevalence in schistosomiasis

Andrea Rinaldo, Lorenzo Mari, Marino Gatto

Schistosomiasis is one of the most widespread public health problems in the world. In this work, we introduce an eco-epidemiological model for its transmission and dynamics with the purpose of explaining both intra-and inter-annual fluctuations of disease ...

American Institute of Physics2015

Renormalized solutions to the continuity equation with an integrable damping term

Maria Colombo

We consider the continuity equation with a nonsmooth vector field and a damping term. In their fundamental paper, DiPerna and Lions (Invent Math 98:511-547, 1989) proved that, when the damping term is bounded in space and time, the equation is well posed i ...

2015

Asymptotic bifurcation and second order elliptic equations on R-N

Charles Stuart

This paper deals with asymptotic bifurcation, first in the abstract setting of an equation G(u) = lambda u, where G acts between real Hilbert spaces and lambda is an element of R, and then for square-integrable solutions of a second order non-linear ellipt ...

Elsevier Science Bv2015

Fiber connectivity and bifurcation diagrams of almost toric integrable systems

Tudor Ratiu

We describe the bifurcation diagrams of almost toric integrable Hamiltonian systems on a four dimensional symplectic manifold M, not necessarily compact. We prove that, under a weak assumption, the connectivity of the fibers of the induced singular Lagrang ...

Int Press Boston, Inc2015

A self-consistent model for the saturation dynamics of the vortex shedding around the mean flow in the unstable cylinder wake

François Gallaire, Cristobal Manuel Arratia Martinez, Vladislav Mantic Lugo

The supercritical instability leading to the Benard-von Karman vortex street in a cylinder wake is a well known example of supercritical Hopf bifurcation: the steady solution becomes linearly unstable and saturates into a periodic limit cycle. Nonetheless, ...

Amer Inst Physics2015

Bifurcation at isolated singular points for a degenerate elliptic eigenvalue problem

Charles Stuart

We consider bifurcation from the line of trivial solutions for a nonlinear eigenvalue problem on a bounded open subset, Omega, of R-N with N >= 3, containing 0. The leading term is a degenerate elliptic operator of the form L(u) = del . A del u where A is ...

Pergamon-Elsevier Science Ltd2015

Some New Results On Differential Inclusions For Differential Forms

Bernard Dacorogna, Olivier Kneuss, Saugata Bandyopadhyay

In this article we study some necessary and sufficient conditions for the existence of solutions in W-0(1,infinity) (Omega; Lambda(k)) of the differential inclusion d omega is an element of E a.e. in Omega where E subset of Lambda(k+1) is a prescribed set. ...

Amer Mathematical Soc2015

Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

Joachim Krieger

For the radial energy-supercritical nonlinear wave equation

\Box u = -u_{tt} + \triangle u = \pm u^7

on

\R^{3+1}

, we prove the existence of a class of global in forward time

C^\infty

-smooth solutions with infinite critical Sobolev norm $\dot{H}^{\f ...

Springer Verlag2014

Exotic blow up solutions for the $\Box u^5$-focussing wave equation in $\mathbb{R}^3$

Joachim Krieger, Roland Donninger, Min Huang

For the critical focusing wave equation

\Box u = u^5

on

\mathbb{R}^{3+1}

in the radial case, we construct a family of blowup solutions which are obtained from the stationary solutions

W(r)

by means of a dynamical rescaling $\lambda(t)\frac{1}{2}W(\la ...

Michigan Mathematical Journal2014

Odd linking and bifurcation in gaps: the weakly indefinite case

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Bifurcation without Frechet differentiability at the trivial solution

The temporal patterns of disease severity and prevalence in schistosomiasis

Renormalized solutions to the continuity equation with an integrable damping term

Asymptotic bifurcation and second order elliptic equations on R-N

Fiber connectivity and bifurcation diagrams of almost toric integrable systems

A self-consistent model for the saturation dynamics of the vortex shedding around the mean flow in the unstable cylinder wake

Bifurcation at isolated singular points for a degenerate elliptic eigenvalue problem

Some New Results On Differential Inclusions For Differential Forms

Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

Exotic blow up solutions for the $\Box u^5$-focussing wave equation in $\mathbb{R}^3$

A self-consistent model for the saturation dynamics of the vortex shedding around the mean flow in the unstable cylinder wake

Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

The temporal patterns of disease severity and prevalence in schistosomiasis

Bifurcation without Frechet differentiability at the trivial solution

Fiber connectivity and bifurcation diagrams of almost toric integrable systems

Bifurcation at isolated singular points for a degenerate elliptic eigenvalue problem

Asymptotic bifurcation and second order elliptic equations on R-N

Renormalized solutions to the continuity equation with an integrable damping term

Some New Results On Differential Inclusions For Differential Forms

Exotic blow up solutions for the $\Box u^5$-focussing wave equation in $\mathbb{R}^3$