Results 31 to 40 of about 166,020,493 (162)
Fragmentation–Coagulation Processes With Advection or Diffusion in Space
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley +1 more source
On the Global Asymptotic Stability of an Infection‐Age‐Structured Competitive Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate an infection‐age‐structured competitive epidemiological model involving multiple strains. While classical results establish competitive exclusion when a unique maximal basic reproduction number exists, we provide here a complete characterization of the asymptotic behavior for an arbitrary number of populations without assuming ...
S. Girel, Q. Richard
wiley +1 more source
On the asymptotic behavior of nonlinear semigroups and the range of accretive operators II
Journal of Mathematical Analysis and Applications, 1981 Abstract : It is known that certain problems in partial differential equations may be interpreted as initial value problems for ordinary differential equations in Banach spaces. When such an evolution equation is governed by an accretive operator, then its solutions give rise to a nonlinear contraction semigroup.
openaire +2 more sources
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT This paper proposes a boundary control method for nonlinear distributed parameter systems (DPSs) with limited boundary measurements (BMs), as typically encountered in networked cyber‐physical processes with spatially distributed dynamics such as thermal and biomedical diffusion systems.
Yanlin Li +5 more
wiley +1 more source
Unary FA-presentable semigroups [PDF]
, 2012 Automatic presentations, also called FA-presentations, were introduced to extend nite model theory to innite structures whilst retaining the solubility of interesting decision problems.
Cain, Alan James +2 more
core +1 more source
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Recent results have shown that domain‐uniform stabilizability and detectability imply spatial exponential decay of perturbations in optimally controlled hyperbolic PDEs on one‐dimensional domains. This domain‐uniform stabilizability and detectability can be achieved only if the control domain is distributed over the whole spatial domain such ...
Benedikt Oppeneiger
wiley +1 more source
Annalen der Physik, Volume 538, Issue 9, September 2026.Electron transport is studied between carbon atoms in the open graphene, while assuming bands to be collective states of electrons in the presence of lattice atoms. To describe dissipative effects, non‐Hermitian extension of the band Hamiltonian is proposed, which models spontaneous emission or injection.
Konstantin G. Zloshchastiev
wiley +1 more source
A photon transport problem with a time-dependent point source [PDF]
, 2009 We consider a time-dependent problem of photon transport in an interstellar cloud with a point photon source modeled by a Dirac δ functional. The existence of a unique distributional solution to this problem is established by using the theory of ...
McBride, A.C. +2 more
core +4 more sources
Well‐posedness of heat equations with nonlinearities of arbitrarily rapid growth
Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.Abstract We address local‐ and global‐in‐time well‐posedness of the Cauchy problem for nonlinear heat equations without imposing growth rate restrictions on the nonlinearity a priori. Our results constitute a nontrivial expansion of the classical Lq$L^q$‐theory for nonlinearities dominated by polynomial growth and the exponential‐Orlicz space theory ...
Yohei Fujishima +2 more
wiley +1 more source
Fredholm operators, evolution semigroups, and periodic solutions of nonlinear periodic systems
Journal of Differential Equations, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rinko Miyazaki +3 more
openaire +2 more sources