Found 27 Documents (Results 1–27)
Discrete-to-continuum limits of interacting particle systems in one dimension with collisions. (English) Zbl 07905802
Regularity estimates for fully nonlinear integro-differential equations with nonhomogeneous degeneracy. (English) Zbl 1537.35119
Derivation of the 1-D Groma-Balogh equations from the Peierls-Nabarro model. (English) Zbl 1529.82017
A fractional glance to the theory of edge dislocations. (English) Zbl 1518.35585
Indrei, Emanuel (ed.) et al., Geometric and functional inequalities and recent topics in nonlinear PDEs. Virtual conference, Purdue University, West Lafayette, IN, USA, February 28 – March 1, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 781, 103-135 (2023).
Discrete-to-continuum convergence of charged particles in 1D with annihilation. (English) Zbl 1502.35160
Reviewer: Alain Brillard (Riedisheim)
Convergence of nonlocal geometric flows to anisotropic mean curvature motion. (English) Zbl 1471.53072
From the Peierls-Nabarro model to the equation of motion of the dislocation continuum. (English) Zbl 1451.82057
Homogenization of a discrete model for a bifurcation and application to traffic flow. (English) Zbl 1437.35037
Reviewer: Adrian Muntean (Karlstad)
Specified homogenization of a discrete traffic model leading to an effective junction condition. (English) Zbl 1428.35027
Reviewer: Marcus Waurick (Glasgow)
The spectral collocation method for efficiently solving PDEs with fractional Laplacian. (English) Zbl 1395.65106
Homogenization of second order discrete model with local perturbation and application to traffic flow. (English) Zbl 1372.35026
On nonlocal quasilinear equations and their local limits. (English) Zbl 1357.35273
Reviewer: Dian K. Palagachev (Bari)
Global well-posedness of a non-local Burgers equation: the periodic case. (English. French summary) Zbl 1355.35190
Finite and infinite speed of propagation for porous medium equations with nonlocal pressure. (English) Zbl 1379.35253
Large time behavior of periodic viscosity solutions for uniformly parabolic integro-differential equations. (English) Zbl 1293.35037
Finite and infinite speed of propagation for porous medium equations with fractional pressure. (Vitesse de propagation finie et infinie pour des équations du milieu poreux avec une pression fractionnaire.) (English. Abridged French version) Zbl 1284.35352
Homogenization of accelerated Frenkel-Kontorova models with \(n\) types of particles. (English) Zbl 1276.35024
Reviewer: Alain Brillard (Riedisheim)
Comparison and regularity results for the fractional Laplacian via symmetrization methods. (English) Zbl 1255.35217
Homogenization of the Peierls-Nabarro model for dislocation dynamics. (English) Zbl 1264.35264
Reviewer: Alexander A. Kovalevsky (Donetsk)
A posteriori error estimates for the effective Hamiltonian of dislocation dynamics. (English) Zbl 1248.65097
Reviewer: K. N. Shukla (Gurgaon)
Dislocation dynamics: from microscopic models to macroscopic crystal plasticity. (English) Zbl 1178.35047
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