Results 31 to 40 of about 15,291 (210)
The reversing of interfaces in slow diffusion processes with strong absorbtion [PDF]
, 2012 This paper considers a family of one-dimensional nonlinear diffusion equations with absorption. In particular, the solutions that have interfaces that change their direction of propagation are examined.
Foster, JM +14 more
core +1 more source
, 2013 In this brief note we study the n-dimensional magnetohydrodynamic equations with hyper-viscosity and zero resistivity.
Tran, Chuong Van +5 more
core +1 more source
Flows of singular vector fields and applications to fluid and kinetic equations [PDF]
, 2015 Several physical phenomena arising in fluid dynamics and kinetic equations can be modeled by nonlinear transport PDE. Such quantities are the vorticity of a fluid, or the density of a collection of particles advected by a velocity field which is highly ...
Bohun, Anna
core +1 more source
Positive solutions for (p, q)-equations with convection and a sign-changing reaction
Advances in Nonlinear Analysis, 2021 We consider a nonlinear Dirichlet problem driven by the (p, q)-Laplacian and with a reaction which is dependent on the gradient. We look for positive solutions and we do not assume that the reaction is nonnegative.
Zeng Shengda, Papageorgiou Nikolaos S.
doaj +1 more source
Nonlinear vibrations of a mechanical system with non-regular nonlinearities and uncertainties [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2013 This paper presents the concept of the Stochastic Multi-dimensional Harmonic Balance Method (Stochastic-MHBM) in order to solve dynamical problems with non-regular nonlinearities in presence of uncertainties. To treat the nonlinearity in the stochastic and frequency domains, the Alternate Frequency-Time method with Probabilistic Collocation (AFTPC) is ...
Jérôme Didier +2 more
openaire +2 more sources
On global regularity of 2D generalized magnetohydrodynamic equations
, 2013 In this article we study the global regularity of 2D generalized magnetohydrodynamic equations (2D GMHD), in which the dissipation terms are –ν(–Δ)αu and –κ(–Δ)βb. We show that smooth solutions are global in the following three cases: α≥1/2, β≥1; 0≤α≤1/2,
Tran, Chuong Van +2 more
core +1 more source
Regularity problem for one class of nonlinear parabolic systems with non-smooth in time principal matrices [PDF]
, 2019 summary:Partial regularity of solutions to a class of second order nonlinear parabolic systems with non-smooth in time principal matrices is proved in the paper.
Arkhipova, Arina A., Stará, Jana
core +1 more source
On nonlinear Landau damping and Gevrey regularity
, 2023 In this article we study the problem of nonlinear Landau damping for the Vlasov-Poisson equations on the torus. As our main result we show that for perturbations initially of size $\epsilon > 0$ and time intervals $(0, \epsilon−N)$ one obtains nonlinear ...
Zillinger, Christian
core +3 more sources
Maximal regularity for nonautonomous evolution equations [PDF]
, 2004 We derive sufficient conditions, perturbation theorems in particular, for nonautonomous evolution equations to possess the property of maximal Lp ...
Hafida Laasri +4 more
core +1 more source
Quasiconvexity and partial regularity via nonlinear potentials
, 2022 We show how to infer sharp partial regularity results for relaxed minimizers of degenerate, nonuniformly elliptic quasiconvex functionals, using tools from Nonlinear Potential Theory.
De Filippis, C
core +1 more source