Keywords: primary; 35Q20; secondary; 35B07; 35B40; Weakly inhomogeneous data; Specular reflection boundary condition; L2âLâ approach;
مقالات ISI (ترجمه نشده)
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Keywords: 35Q20; 35E15; 35B65; Cauchy problem; Boltzmann equation; Gelfand-Shilov smoothing effect; Shubin class initial datum;
Keywords: 35Q20; Cauchy problems; Systems of differential equations; Special structures; Global smooth solution; Existence and uniqueness; Uniform energy estimates; Leray-Schauder's fixed point principle;
Keywords: 39B22; 35K55; 35Q20; 39ADifference-differential equation; Henkin–Polterovich's model; Layer-to-layer crystal growth model; Original-function; Growth diagram; Reconstruction problem; “Build up” method
Keywords: 35K55; 35L65; 35Q20; 35R10; 39A; 76D; Riemann-Burgers type equations; Fluid mechanics; Quasilinear conservation law; Cauchy-Gelfand problem; Difference-differential equations; Vanishing viscosity method; Shock waves;
Keywords: 35Q20; 35B65Boltzmann equation; Gelfand–Shilov smoothing effect
Asymptotic stability of the relativistic Boltzmann equation on Bianchi type I space-time with a hard potential
Keywords: relativistic Boltzmann equation; Bianchi type I space-time; hard potentials; L2-stability; 76P05; 35Q20;
MRT discrete Boltzmann method for compressible exothermic reactive flows
Keywords: Discrete Boltzmann; Lattice Boltzmann; Nonequilibrium; Compressible; Reactive flows; 35Q20; 76L05; 76P05; 76V05;
Lp-maximal hypoelliptic regularity of nonlocal kinetic Fokker-Planck operators
Keywords: primary; 42B20; 60H30; secondary; 35H10; 35Q20; Lp-hypoellipticity; Nonlocal kinetic operator; Fefferman-Stein's theorem; Lévy process;
Solitary wave solution of the generalized Hirota-Satsuma coupled KdV system
Keywords: The generalized Hirota-Satsuma coupled KdV system; The modified simple equation method; Traveling wave solutions; Solitary wave solutions; Kink and anti kink soliton solutions; 35Q20; 35K99; 35P05;
The Relativistic Boltzmann Equation on Bianchi Type I Space Time for Hard Potentials
Keywords: relativistic Boltzmann equation; Bianchi type I space-time; hard potentials scattering kernel; 76P05; 35Q20;
Evans functions and bifurcations of nonlinear waves of some nonlinear reaction diffusion equations
Keywords: 35Q20; Stability; Instability; Bifurcations; Linear differential operators; Eigenvalue problems; Evans functions;
Semigroup decay of the linearized Boltzmann equation in a torus
Keywords: 35Q20; 82C40Boltzmann equation; Semigroup; Maxwellian states; Decay
Stationary solutions for the ellipsoidal BGK model in a slab
Keywords: 35Q20; 82C40; 35A01; 35A02; 35F30Ellipsoidal BGK model; Boltzmann equation; Kinetic theory of gases; Boundary value problem in a slab; Inflow boundary conditions
Global well-posedness for the Fokker–Planck–Boltzmann equation in Besov–Chemin–Lerner type spaces
Keywords: 35Q20; 35A01; 35B30Fokker–Planck–Boltzmann equation; Hard potential; Cutoff assumption; Cauchy problem; Littlewood–Paley theory
Gelfand–Shilov and Gevrey smoothing effect for the spatially inhomogeneous non-cutoff Kac equation
Keywords: 35H10; 35Q20; 35S05Kac equation; Gevrey regularity; Gelfand–Shilov regularity; Hypoellipticity
The Boltzmann equation, Besov spaces, and optimal time decay rates in Rxn
Keywords: 35Q20; 35R11; 76P05; 82C40; 35B65; 26A33Kinetic theory; Boltzmann equation; Long-range interaction; Non cut-off; Soft potentials; Hard potentials; Fractional derivatives; Time decay; Convergence rates; Besov spaces
A non-local inequality and global existence
Keywords: 35Q20; 35B65; 35K55; 35Q72Kinetic theory; Landau equation; Model equation; Global regularity
Counterexamples to Strichartz estimates for the kinetic transport equation based on Besicovitch sets
Keywords: Primary; 35B45; Secondary; 35Q20; Strichartz estimates; Besicovitch; Kinetic transport; Counterexamples;
Finite-dimensional attractors for the quasi-linear strongly-damped wave equation
Keywords: 35Q20; 37L30; 73F15Quasi-linear strongly-damped wave equation; Energy solutions; Uniqueness; Regularity; Global attractor
A collocation method with cubic B-splines for solving the MRLW equation
Keywords: 35Q20; 65A30; 65N35MRLW; Collocation method; Solitary waves
Strong instability of solitary-wave solutions for a nonlinear Boussinesq equation
Keywords: 35Q20; 76B15Boussinesq equation; Solitary wave; Strong instability; Blow-up
Existence of a solution to Hartree–Fock equations with decreasing magnetic fields
Keywords: 35Q20; 81G45; 81V45; 35Q40; 47G20; 81Q10Magnetic Hartree–Fock equations; Ground state; Variational method; Spectral bound
Variable coefficient Schrödinger flows for ultrahyperbolic operators
Keywords: 35Q20; 35B45; 44B99; Non-linear Schrödinger equation; Ultrahyperbolic operators;