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of 21
pro vyhledávání: '"Badal, Rufat"'
According to the Nernst theorem or, equivalently, the third law of thermodynamics, the absolute zero temperature is not attainable. Starting with an initial positive temperature, we show that there exist solutions to a Kelvin-Voigt model for quasi-st
Externí odkaz:
http://arxiv.org/abs/2407.02035
We derive a von K\'arm\'an plate theory from a three-dimensional quasistatic nonlinear model for nonsimple thermoviscoelastic materials in the Kelvin-Voigt rheology, in which the elastic and the viscous stress tensor comply with a frame indifference
Externí odkaz:
http://arxiv.org/abs/2312.07196
We consider atomistic systems consisting of interacting particles arranged in atomic lattices whose quasi-static evolution is driven by time-dependent boundary conditions. The interaction of the particles is modeled by classical interaction potential
Externí odkaz:
http://arxiv.org/abs/2207.14505
Autor:
Badal, Rufat, Cicalese, Marco
On a two-dimensional Riemannian manifold without boundary we consider the variational limit of a family of functionals given by the sum of two terms: a Ginzburg-Landau and a perimeter term. Our scaling allows low-energy states to be described by an o
Externí odkaz:
http://arxiv.org/abs/2204.01840
We consider a quasistatic nonlinear model in thermoviscoelasticity at a finite-strain setting in the Kelvin-Voigt rheology where both the elastic and viscous stress tensors comply with the principle of frame indifference under rotations. The force ba
Externí odkaz:
http://arxiv.org/abs/2203.02375
Autor:
Badal, Rufat
We study an $L^{2}$-type gradient flow of an immersed elastic curve in $\mathbb{R}^{2}$ whose endpoints repel each other via a Coulomb potential. By De Giorgi's minimizing movements scheme we prove long-time existence of the flow. The work is complem
Externí odkaz:
http://arxiv.org/abs/1902.08079
We propose and analyze a generalized two dimensional $XY$ model, whose interaction potential has $n$ weighted wells, describing corresponding symmetries of the system. As the lattice spacing vanishes, we derive by $\Gamma$-convergence the discrete-to
Externí odkaz:
http://arxiv.org/abs/1612.03128
Autor:
Badal, Rufat1 (AUTHOR), Friedrich, Manuel2 (AUTHOR), Kružík, Martin3,4 (AUTHOR) kruzik@utia.cas.cz
Publikováno v:
Archive for Rational Mechanics & Analysis. Feb2023, Vol. 247 Issue 1, p1-81. 81p.
Akademický článek
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Autor:
Badal, Rufat1 badal@ma.tum.de, Cicalese, Marco1 cicalese@ma.tum.de, De Luca, Lucia1 deluca@ma.tum.de, Ponsiglione, Marcello2 ponsigli@mat.uniroma1.it
Publikováno v:
Communications in Mathematical Physics. Mar2018, Vol. 358 Issue 2, p705-739. 35p.