Zobrazeno 1 - 10
of 469
pro vyhledávání: '"STRAUSS, WALTER A."'
A Stokes wave is a traveling free-surface periodic water wave that is constant in the direction transverse to the direction of propagation. In 1981 McLean discovered via numerical methods that Stokes waves are unstable with respect to transverse pert
Externí odkaz:
http://arxiv.org/abs/2408.07169
Autor:
Haziot, Susanna V., Strauss, Walter A.
We consider classical steady water waves with a free surface, a flat bottom and constant vorticity $\gamma$. In the adverse case $\gamma>0$ we prove that there is an absolute upper bound on the amplitude, independent of the physical constants, provid
Externí odkaz:
http://arxiv.org/abs/2405.06529
Autor:
Strauss, Walter A., Suzuki, Masahiro
We consider a plasma that is created by a high voltage difference $\lambda$, which is known as a Townsend discharge. We consider it to be confined to the region $\Omega$ between two concentric spheres, two concentric cylinders, or more generally betw
Externí odkaz:
http://arxiv.org/abs/2403.13174
We consider a star as a compressible fluid subject to gravitational and magnetic forces. This leads to an Euler-Poisson system coupled to a magnetic field, which may be regarded as an MHD model together with gravity. The star executes steadily rotati
Externí odkaz:
http://arxiv.org/abs/2306.12553
Autor:
Strauss, Walter A., Wu, Yilun
A typical galaxy consists of a huge number of stars attracted to each other by gravity. For instance, the Milky Way has about $10^{11}$ stars. Thus it is typically modeled by the Vlasov-Poisson system. We prove an existence theorem for axisymmetric s
Externí odkaz:
http://arxiv.org/abs/2203.01454
We model a rotating star as a compressible fluid subject to gravitational forces. In almost all the mathematical literature the entropy is considered to be constant. Here we allow it to be variable. We consider a star that steadily rotates differenti
Externí odkaz:
http://arxiv.org/abs/2111.04634
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
Autor:
Nguyen, Huy Q., Strauss, Walter A.
It is proven that small-amplitude steady periodic water waves with infinite depth are unstable with respect to long-wave perturbations. This modulational instability was first observed more than half a century ago by Benjamin and Feir. It has been pr
Externí odkaz:
http://arxiv.org/abs/2007.05018
Autor:
Strauss, Walter A., Suzuki, Masahiro
We consider the steady states of a gas between two parallel plates that is ionized by a strong electric field so as to create a plasma. There can be a cascade of electrons due both to the electrons colliding with the gas molecules and to the ions col
Externí odkaz:
http://arxiv.org/abs/2003.10796
Autor:
Strauss, Walter, Wu, Yilun
A rotating star may be modeled as a continuous system of particles attracted to each other by gravity and with a given total mass and prescribed angular velocity. Mathematically this leads to the Euler-Poisson system. A white dwarf star is modeled by
Externí odkaz:
http://arxiv.org/abs/1907.13155