On the one dimensional cubic NLS in a critical space

<p style='text-indent:20px;'>In this note we study the initial value problem in a critical space for the one dimensional Schrödinger equation with a cubic non-linearity and under some smallness conditions. In particular the initial data is given by a sequence of Dirac deltas with different amplitudes but equispaced. This choice is motivated by a related geometrical problem; the one describing the flow of curves in three dimensions moving in the direction of the binormal with a velocity that is given by the curvature.</p>

Maximal regularity and a singular limit problem for the Patlak–Keller–Segel system in the scaling critical space involving BMO

We consider a singular limit problem of the Cauchy problem for the Patlak–Keller–Segel equation in a scaling critical function space. It is shown that a solution to the Patlak–Keller–Segel system in a scaling critical function space involving the class of bounded mean oscillations converges to a solution to the drift-diffusion system of parabolic-elliptic type (simplified Keller–Segel model) strongly as the relaxation time parameter $$\tau \rightarrow \infty $$ τ → ∞ . For the proof, we show generalized maximal regularity for the heat equation in the homogeneous Besov spaces and the class of bounded mean oscillations and we utilize them systematically as well as the continuous embeddings between the interpolation spaces $$\dot{B}^s_{q,\sigma }({\mathbb {R}}^n)$$ B ˙ q , σ s ( R n ) and $$\dot{F}^s_{q,\sigma }({\mathbb {R}}^n)$$ F ˙ q , σ s ( R n ) for the proof of the singular limit. In particular, end-point maximal regularity in BMO and space time modified class introduced by Koch–Tataru is utilized in our proof.

Resilient Cyborgs

This article reads Pat Cadigan’s Arthur C. Clarke Award-winning novel Synners (1991) from the perspectives of trauma studies and posthumanism to analyze the representation of the cyborged (post)human in cyberspace. My main focus is Cadigan’s depiction of a posttraumatic world whose living conditions invite escape, and how this depiction emphasizes the fact that escape through technological transcendence is not an option, and neither is the rejection of technology altogether. Despite this bleak scenario, the novel leaves some room for optimism in the figuration of a posthuman form of resilience, inspiring reflection about future forms of engagement with technology. As this article attempts to prove, Synners uses the tropes of the cyborg and cyberspace to explore the implications of subjectivity and embodiment within technoscience. In so doing, the novel opens a critical space for interrogation of the relationship between trauma, the posthuman body, and digital technology.

‘savage warnings and notations’: The Women Charting New Sensory Terrains in the Wake of Intelligence Work

This article explores the extent to which creative work developed by a number of ex-intelligence operatives in the wake of war posited a total recalibration of sensation and the senses at midcentury. It will suggest that intelligence work, as well as the decades of discretion such work entailed, led to the estimation of a bewildering new sensory terrain. Was this a realm that could be, in the subversive potential of its sensory integration, uniquely inhabited by women artists and writers? How did they adapt to its new ‘savage warnings and notations’? 1 It is an argument informed by the considerable scholarship on the modernist and midcentury sensorium and the impact of global conflict on the mind, body, environment and human senses, but lies askant from this in its focus on those emerging from the secretive spaces of the intelligence services. The three voices central to this discussion, Elizabeth Bowen, Christine Brooke-Rose, and Prunella Clough, are rarely considered within the same critical space, and yet all three place sensory intelligibility at the centre of their aesthetic endeavours in the years immediately following their service. Is their work in the wake of war testament to an elusive new form of address or agency for women writers; a ‘wireless voice’ – as Brooke-Rose conceives of it – that is capable of setting revolutionary new terms of encounter and coherence?

Zhuangzi’s Lone Project of Personal Freedom

This chapter argues that Zhuangzi was an intellectual outlier who was not a significant participant in the debate on humaneness versus justice, carried out primarily among the Confucians, the Mohists, the Laoists, and the fajia thinkers during the classical period. He ridiculed the misguided character of the dominant intellectual projects and warned against their potential for inhumanity and injustice, the very opposite of what is intended by the participants of the mainstream discourse. He extoled personal freedom within the context of overwhelming emphasis on order, structured by humaneness and/or justice, and single-handedly opened up a critical space for the discourse on personal freedom in Chinese intellectual history. However, the marginal nature of the Zhuangist vision of personal freedom did not portend well its prospect in the subsequent Chinese history. The kind of freedom envisioned by Zhuangzi is an effortless navigation through and around the constraints of the human lifeworld, not a reimagining of those very constraints.

Terapias de conversión en Ecuador: el testimonio literario como forma heteromaricagénea contradictoria de interpelación al derecho

Law and Literature studies enable the construction of a critical space, which aims to build dialogic bridges, as well as interpellations in each discipline. From a perspective linked to Human Rights we use literary testimony, a scriptural genre that is part of heterogeneous and contradictory literatures (Cornejo Polar), to analyze how legal and literary discourses on sexual diversity and sexual dissidence in Ecuador, give account of violations of fundamental rights. Through the testimonies of sexually diverse and sexually dissident individuals (writings that become contradictory heterofaggeneous literatures) conversion therapies, in the so-called dehomosexualization clinics, will be analyzed. This will allow us to understand a very particular form of violence and recreate a memory of violence and resistance that seeks the reparation of certain individuals and groups historically discriminated.