All two‐dimensional expanding Ricci solitons
Abstract The second author and H. Yin [Ars Inveniendi Analytica. DOI 10.15781/4x5c-9q97] have developed a Ricci flow existence theory that gives a complete Ricci flow starting with a surface equipped with a conformal structure and a non‐atomic Radon measure as a volume measure. This led to the discovery of a large array of new expanding Ricci solitons.
Luke T. Peachey, Peter M. Topping
wiley +1 more source
Lie symmetry analysis on heat and mass transport aspects of rate type fluid flow with waste discharge concentration: Keller Box approach. [PDF]
Nagaraja KV+7 more
europepmc +1 more source
Exponentials rarely maximize Fourier extension inequalities for cones
Abstract We prove the existence of maximizers and the precompactness of Lp$L^p$‐normalized maximizing sequences modulo symmetries for all valid scale‐invariant Fourier extension inequalities on the cone in R1+d$\mathbb {R}^{1+d}$. In the range for which such inequalities are conjectural, our result is conditional on the boundedness of the extension ...
Giuseppe Negro+3 more
wiley +1 more source
Exact breather waves solutions in a spatial symmetric nonlinear dispersive wave model in (2+1)-dimensions. [PDF]
Zou Q+6 more
europepmc +1 more source
Gauss Newton Method for Solving Variational Problems of PDEs with Neural Network Discretizaitons. [PDF]
Hao W, Hong Q, Jin X.
europepmc +1 more source
Lie symmetry analysis and solitary wave solution of biofilm model Allen-Cahn. [PDF]
Shakeel M+4 more
europepmc +1 more source
A novel approach to forecasting reproduction numbers of spatiotemporal stochastic epidemic spread using a PDE-based model and real-time infection data. [PDF]
David DA+5 more
europepmc +1 more source
Companion-based multi-level finite element method for computing multiple solutions of nonlinear differential equations. [PDF]
Hao W, Lee S, Lee YJ.
europepmc +1 more source
A deep learning approach: physics-informed neural networks for solving a nonlinear telegraph equation with different boundary conditions. [PDF]
Deresse AT, Bekela AS.
europepmc +1 more source
An improved water strider algorithm for solving the inverse Burgers Huxley equation. [PDF]
Mazraeh HD+4 more
europepmc +1 more source