The principal goal of this journal is to publish articles of the highest scientific value concerning partial differential equations of broad, pure and applied interest. A second, but no less important goal is to facilitate a better awareness of progress made in various fields by researchers in all areas of PDE, highlighting the common core of ideas of the discipline. In this spirit, the editorial board will emphasize the importance of comprehensive introductions, accessible to a general scientific audience, and of timely, up-to-date review articles. The editors intend to offer prizes for the most important contributions and to revive the old tradition of generating prize competitions around well-defined topics.
Annals of PDE
Description
Identifiers
ISSN | 2524-5317 |
e-ISSN | 2199-2576 |
Publisher
Springer International Publishing
Additional information
Data set: Springer
Articles
Annals of PDE > 2019 > 5 > 2 > 1-36
In 1904, Prandtl introduced his famous boundary layer in order to describe the behavior of solutions of incompressible Navier Stokes equations near a boundary as the viscosity goes to 0. His Ansatz was that the solution of Navier Stokes equations can be described as a solution of Euler equations, plus a boundary layer corrector, plus a vanishing error term in $$L^\infty $$ L∞ in the inviscid limit...
Annals of PDE > 2019 > 5 > 2 > 1-51
For all $$\epsilon >0$$ ϵ>0 , we prove the existence of finite-energy strong solutions to the axi-symmetric 3D Euler equations on the domains $$ \{(x,y,z)\in {\mathbb {R}}^3: (1+\epsilon |z|)^2\le x^2+y^2\}$$ {(x,y,z)∈R3:(1+ϵ|z|)2≤x2+y2} which become singular in finite time. The solutions we construct have bounded vorticity before a certain time when the vorticity becomes unbounded. We further...
Annals of PDE > 2019 > 5 > 2 > 1-59
We study a semi-linear version of the Skyrme system due to Adkins and Nappi. The objects in this system are maps from $$(1+3)$$ (1+3) -dimensional Minkowski space into the 3-sphere and 1-forms on $$\mathbb {R}^{1+3}$$ R1+3 , coupled via a Lagrangian action. Under a co-rotational symmetry reduction we establish the existence, uniqueness, and unconditional asymptotic stability of a family of stationary...