Results 71 to 80 of about 5,713 (169)

In Vivo Microrheology Reveals Local Elastic and Plastic Responses Inside 3D Bacterial Biofilms

Advanced Materials, Volume 36, Issue 29, July 18, 2024.
Bacterial biofilms are highly abundant 3D living materials capable of performing complex biomechanical and biochemical functions. A general method is developed to measure internal mechanical properties of biofilms in vivo with spatial resolution on the cellular scale, leading to the discovery that the elastic modulus inside biofilms correlates with the
Takuya Ohmura, Dominic J. Skinner, Konstantin Neuhaus, Gary P. T. Choi, Jörn Dunkel, Knut Drescher   +5 more
wiley   +1 more source

Some inequalities for the Hersch–Pfluger distortion function

Journal of Inequalities and Applications, 1999
The authors obtain some new functional inequalities for the Hersch–Pfluger distortion function in the theory of plane quasiconformal mappings, thus solving some recent conjectures.
Vamanamurthy MK, Vuorinen M, Qiu S-L
doaj  

On distortion under mappings satisfying the inverse Poletsky inequality

Математичні Студії
As it is known, conformal mappings are locally Lipschitz at inner points of a domain, and quasiconformal (quasiregular) mappings are locally H ̈older continuous.
E. O. Sevost'yanov, R. R. Salimov, V. S. Desyatka, N. S. Ilkevych   +3 more
doaj   +1 more source

Quasiregular curves and cohomology

Proceedings of the London Mathematical Society, Volume 128, Issue 5, May 2024.
Abstract Let N$N$ be a closed, connected, and oriented Riemannian manifold, which admits a quasiregular ω$\omega$‐curve Rn→N$\mathbb {R}^n \rightarrow N$ with infinite energy. We prove that, if the de Rham class of ω$\omega$ is nonzero and a finite sum of nontrivial products, then there exists a nontrivial graded algebra homomorphism HdR∗(N)→⋀∗Rn$H_ ...
Susanna Heikkilä
wiley   +1 more source

Octonionic Magical Supergravity, Niemeier Lattices, and Exceptional & Hilbert Modular Forms

Fortschritte der Physik, Volume 72, Issue 2, February 2024.
Abstract The quantum degeneracies of Bogomolny‐Prasad‐Sommerfield (BPS) black holes of octonionic magical supergravity in five dimensions are studied. Quantum degeneracy is defined purely number theoretically as the number of distinct states in charge space with a given set of invariant labels.
Murat Günaydin, Abhiram Kidambi
wiley   +1 more source

On semilinear equations in the complex plane

Доповiдi Нацiональної академiї наук України, 2019
We study the Dirichlet problem for the semilinear partial differential equations div (A∇u) = f (u) in simply connected domains D of the complex plane C with continuous boundary data. We prove the existence of the weak solutions u in the class C ∩Wloc1,2 (
V.Ya. Gutlyanskiĭ, O.V. Nesmelova, V.I. Ryazanov   +2 more
doaj   +1 more source

Quasiconformal mappings, from Ptolemy's geography to the work of Teichmüller

, 2018
The origin of quasiconformal mappings, like that of conformal mappings, can be traced back to old cartography where the basic problem was the search for mappings from the sphere onto the plane with minimal deviation from conformality, subject to certain ...
Papadopoulos, A.
core  

The Loewner–Kufarev energy and foliations by Weil–Petersson quasicircles

Proceedings of the London Mathematical Society, Volume 128, Issue 2, February 2024.
Abstract We study foliations by chord–arc Jordan curves of the twice punctured Riemann sphere C∖{0}$\mathbb {C} \setminus \lbrace 0\rbrace$ using the Loewner–Kufarev equation. We associate to such a foliation a function on the plane that describes the “local winding” along each leaf. Our main theorem is that this function has finite Dirichlet energy if
Fredrik Viklund, Yilin Wang
wiley   +1 more source

Mathematical modeling of nonlinear displacement processes in oil LEF-layer by methods of complex analysis and summary representations

Геофизический журнал, 2019
The approach to the modeling of nonlinear displacement processes (one and two-phase filtration) in heterogeneous oil deformable layers is developed, taking into account the inverse effect of the potential of the velocity field and the flow function on ...
O. М. Hladka
doaj   +1 more source

Mappings of generalized finite distortion and continuity

Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.
Abstract We study continuity properties of Sobolev mappings f∈Wloc1,n(Ω,Rn)$f \in W_{\mathrm{loc}}^{1,n} (\Omega , \mathbb {R}^n)$, n⩾2$n \geqslant 2$, that satisfy the following generalized finite distortion inequality Df(x)n⩽K(x)Jf(x)+Σ(x)$$\begin{equation*} \hspace*{4.6pc}{\left| Df(x) \right|}^n \leqslant K(x) J_f(x) + \Sigma (x) \end{equation ...
Anna Doležalová, Ilmari Kangasniemi, Jani Onninen   +2 more
wiley   +1 more source