Thermo‐Mechanical Topology Optimization: An Immersed FEM Level‐Set‐Based Approach
International Journal for Numerical Methods in Engineering, Volume 127, Issue 15, 15 August 2026.ABSTRACT This paper proposes a multi‐physics framework for topology optimization using an immersed level set‐finite element model. The work extends the capabilities of a recently developed immersed level‐set method to thermo‐mechanical problems, including coupling and material‐dependent properties.
Farzad Tatar +3 more
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Parabolic PDEs with Dynamic Data under a Bounded Slope Condition. [PDF]
Arch Ration Mech AnalBögelein V, Duzaar F, Treu G.
europepmc +1 more source
Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
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A second-order dynamical system for solving inverse quasi-variational inequalities and its application. [PDF]
PLoS OneGan T, Khan VK, Ahmad MK, Cai QB.
europepmc +1 more source
Approximation of continuous functions by Lipschitz functions
, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Noise-Resilient Whitened Domain Adaptation for Intelligent Mechanical Fault Diagnosis Under Non-Stationary Sensor Signals. [PDF]
Sensors (Basel)Chen Q, Xie Y.
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Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces
Journal of Graph Theory, Volume 112, Issue 4, Page 491-506, August 2026.ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) is said to be ( X , Y )‐embeddable if any set of induced edge lengths from an embedding of G into a ...
Sean Dewar +3 more
wiley +1 more source
A predator-prey model with age-structured role reversal. [PDF]
J Math BiolSuarez LC, Cameron MK, Fagan WF, Levy D.
europepmc +1 more source
Uniqueness for Neumann Problems for Nonlinear Elliptic Equations With Lower Order Terms
Mathematische Nachrichten, Volume 299, Issue 8, Page 1956-1982, August 2026.ABSTRACT In this paper, we prove uniqueness results for weak solutions to a class of Neumann problems, whose prototype is λ(1+u2)(p−2)/2u−div((1+|∇u|2)(p−2)/2∇u)−div(c(x)(1+|u|2)(τ+1)/2)+b(x)(1+|∇u|2)(σ+1)/2=finΩ(1+|∇u|2)(p−2)/2∇u+c(x)(1+|u|2)(τ+1)/2)·n̲=0on∂Ω,$$\begin{equation*} {\begin{cases} {}\lambda {(1+ u^2)}^{(p-2)/2}u-{\operatorname{div}}({(1+|\
Maria Francesca Betta +3 more
wiley +1 more source