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Blow-up of cylindrically symmetric solutions for Fractional NLS
Tianxiang Gou, Vicentiu D. Radulescu, Zhitao Zhang
https://arxiv.org/abs/2406.03842 https:/…

Blow-up of cylindrically symmetric solutions for Fractional NLS
In this paper, we consider blow-up of solutions to the Cauchy problem for the following fractional NLS, $$ \textnormal{i} \, \partial_t u=(-Δ)^s u-|u|^{2 σ} u \quad \text{in} \,\, \R \times \R^N, $$ where $N \geq 2$, $1/2

Multiphase Flow Simulation of Blow-by and Fuel-in-Oil Dilution via the Piston Ring Pack Using the CFD Level-Set Method
Patrick Antony, Norbert Hosters, Marek Behr, Anselm Hopf, Frank Kr\"amer, Carsten Weber, Paul Turner
https://arxiv.org/abs/2406.02702

Multiphase Flow Simulation of Blow-by and Fuel-in-Oil Dilution via the Piston Ring Pack Using the CFD Level-Set Method
Modern diesel engines temporarily use a very late post-injection in the combustion cycle to either generate heat for a diesel particulate filter regeneration or purge a lean NOx trap. In some configurations, unburned fuel is left at the cylinder walls and is transported via the piston rings toward the lower crankcase region, where fuel may dilute the oil. Reduced oil lubrication shortens the oil service intervals and increases friction. Beside diesel fuel, this problem may also occur for other …

3-circle Theorem for Willmore surface I
Yuxiang Li, Hao Yin
https://arxiv.org/abs/2406.02828 https://arxiv.org/pdf/2406.02828<…

3-circle Theorem for Willmore surface I
In this paper, we study the blow-up of Willmore surfaces. By using the 3-circle theorem, we prove a decay estimate of the second fundamental form along the neck region. This estimate provides a new perspective and streamlined proofs to a few key results in this field, such as the energy identity(quantization), removable singularities and gap theorem.

On the stability of singular Hopf bifurcation and its application
Jun Li, Shimin Li, Mingju Ma, Kuilin Wu
https://arxiv.org/abs/2406.03732 https://<…

On the stability of singular Hopf bifurcation and its application
Recently, research on the complex periodic behavior of multi-scale systems has become increasingly popular. Krupa et al. \cite{krupa2} provided a way to obtain relaxation oscillations in slow-fast systems through singular Hopf bifurcations and canard explosion. The authors derived a $O(1)$ expression $A$ for the first Lyapunov coefficient (under the condition $A \neq 0$), and deduced the bifurcation curves of singular Hopf and canard explosions. This paper employs Blow-up technique, normal fo…

Partial regularity and $L^3$-norm concentration effects around possible blow-up points for the micropolar fluid equations
Diego Chamorro (LaMME), David Llerena (LaMME)
https://arxiv.org/abs/2406.03291

Partial regularity and $L^3$-norm concentration effects around possible blow-up points for the micropolar fluid equations
The micropolar fluid system is a model based on the Navier-Stokes equations which considers two coupled variables: the velocity field $\vec u$ and the microrotation field $\vecω$. Assuming an additional condition over the variable $\vec u$ we will first prove that weak solutions $(\vec u, \vecω)$ of this system are smooth. Then, we will present a concentration effect of the $L^3_x$ norm of the velocity field $\vec u$ near a possible singular time.

Ukraine strikes major blow to Russian Su-34 base with 70-drone attack: https://benborges.xyz/2024/06/15/ukraine-strikes-major.html

This https://arxiv.org/abs/2406.00575 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Existence-Uniqueness Theory and Small-Data Decay for a Reaction-Diffusion Model of Wildfire Spread
I examine some analytical properties of a nonlinear reaction-diffusion system that has been used to model the propagation of a wildfire. I establish global-in-time existence and uniqueness of bounded mild solutions to the Cauchy problem for this system given bounded initial data. In particular, this shows that the model does not allow for thermal blow-up. If the initial temperature and fuel density also satisfy certain integrability conditions, all Sobolev norms of these global solutions are un…

Supreme Court’s anti-union Starbucks ruling lands a blow to workers rights | The Independent
https://www.independent.co.uk/news/world/americas/us-politics/starbucks-supreme-court-labor-union-b2562110.html…

Supreme Court’s anti-union Starbucks ruling lands a blow to workers rights
Ruling scales back the power of a labor board to protect pro-union workers

In a surprising shift, Serbia endorses pro-Ukraine declaration at Swiss summit: https://benborges.xyz/2024/06/16/in-a-surprising.html

In a surprising shift, Serbia endorses pro-Ukraine declaration at Swiss summit: https://benborges.xyz/2024/06/16/in-a-surprising.html