Výsledky vyhledávání - "Toland, J. F."

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Traveling water waves -- the ebb and flow of two centuries

Autor: Haziot, Susanna V., Hur, Vera Mikyoung, Strauss, Walter, Toland, J. F., Wahlén, Erik, Walsh, Samuel, Wheeler, Miles H.

This survey covers the mathematical theory of steady water waves with an emphasis on topics that are at the forefront of current research. These areas include: variational characterizations of traveling water waves; analytical and numerical studies o

Externí odkaz: http://arxiv.org/abs/2109.09208

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Path-Connectedness in Global Bifurcation Theory

Autor: Toland, J. F.

A celebrated result in bifurcation theory is that global connected sets of non-trivial solutions bifurcate from trivial solutions at non-zero eigenvalues of odd algebraic multiplicity of the linearized problem when the operators involved are compact.

Externí odkaz: http://arxiv.org/abs/2104.04012

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A Proof of H\'elein's Conjecture on Boundedness of Conformal Factors when n=3

Autor: Plotnikov, P. I., Toland, J. F.

For smooth mappings of the unit disc into the oriented Grassmannian manifold $\mathbb G_{n,2}$, H\'elein (2002) conjectured the global existence of Coulomb frames with bounded conformal factor provided the integral of $|\boldsymbol A|^2$, the squared

Externí odkaz: http://arxiv.org/abs/2010.15017

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Localizing Weak Convergence in $\boldsymbol{ L_\infty}$

Autor: Toland, J F

In a general measure space $(X,\mathcal L,\lambda)$, a characterization of weakly null sequences in $L_\infty (X,\mathcal L,\lambda)$ ($u_k \rightharpoonup 0$) in terms of their pointwise behaviour almost everywhere is derived from the Yosida-Hewitt

Externí odkaz: http://arxiv.org/abs/1802.01878

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Self-Intersecting Periodic Curves in the Plane

Autor: Howie, J, Toland, J F

Suppose a smooth planar curve $\gamma$ is $2\pi$-periodic in the $x$ direction and the length of one period is $\ell$. It is shown that if $\gamma$ self-intersects, then it has a segment of length $\ell- 2\pi$ on which it self-intersects and somewher

Externí odkaz: http://arxiv.org/abs/1011.2128

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