Keywords: راه حل مشابه خود; Nonlinear behavior; Nonextensive statistics; Nonextensive hydrodynamic equations; Nonextensive Zakharov equations; Conserved quantities; Collapse scalar law; Self-similar solution;
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Keywords: راه حل مشابه خود; Force; Self-similar solution; Shock-shock interaction; Shock waves; Unsteady flow;
Keywords: راه حل مشابه خود; Hysteretic media; Nonlinear waves; Self-similar solution;
Keywords: راه حل مشابه خود; Extinction behaviour; Fast diffusion equation; Self-similar solution; Higher order asymptotic behaviour;
Keywords: راه حل مشابه خود; Oil-water flow; Aquifer; Residual oil; Self-similar solution;
Keywords: راه حل مشابه خود; Self-similar solution; Benchmark; Two-phase flow;
Keywords: راه حل مشابه خود; 34B15; 34A34; 35K55; 74H35; Self-similar solution; Slow orbit; Pohozaev's type identity; Backward solution;
Keywords: راه حل مشابه خود; 76A20; 37N10; 35K25; 35K65; 34B16Thin film equation; Self-similar solution; Contact line; Center manifolds; Resonances; Boundary-value problem
Keywords: راه حل مشابه خود; 35R06; 35K05; 35R11Fractional heat equation; Dirac mass; Self-similar solution
Keywords: راه حل مشابه خود; Gas hydrates; Hydrate formation; Self-similar solution; Porous medium;
Keywords: راه حل مشابه خود; Self-similar solution; Optical pulse; Asymmetric twin-core fiber amplifier;
Keywords: راه حل مشابه خود; Shock wave; Self-similar solution; Converging shock;
Keywords: راه حل مشابه خود; Diffusion flame; Evaporation front; Gas film; Self-similar solution; Arbitrary Lagrangian-Eulerian; Finite element;
Keywords: راه حل مشابه خود; Gas dynamics; Heat conduction; Self-similar solution; Stiff problem; Spectral method;
Keywords: راه حل مشابه خود; Spin wave; Antiferromagnet; Self-similar solution
Rayleigh-Bènard convection in the generalized Oberbeck-Boussinesq system
Keywords: راه حل مشابه خود; Rayleigh-Bènard convection; Self-similar solution; Oberbeck-Boussinesq approximation; Hydrodynamics;
Self-similar solutions for some nonlinear evolution equations: KdV, mKdV and Burgers equations
Keywords: راه حل مشابه خود; Self-similar solution; Symbolic computations; Exact solutions; KdV, mKdV and Burgers equations
Self-similar solutions with fat tails for Smoluchowski's coagulation equation with singular kernels
Keywords: راه حل مشابه خود; Smoluchowski's coagulation equation; Self-similar solution; Singular kernel; Fat tail; Dual problem
Analytic self-similar solutions of the Oberbeck–Boussinesq equations
Keywords: راه حل مشابه خود; Self-similar solution; Oberbeck-Boussinesq equations; Rayleigh-Benard convection47.10.ad; 02.30.Jr
On a nonlinear parabolic equation arising from anisotropic plane curve evolution
Keywords: راه حل مشابه خود; 53C44; 35K15; 35K55Anisotropic plane curve evolution; Self-similar solution; Translational self-similar solution; Type-one blow-up; Type-two blow-up
Erratum to “Existence of self-similar profile for a kinetic annihilation model” [J. Differential Equations 254 (7) (2013) 3023–3080]
Keywords: راه حل مشابه خود; Boltzmann equation; Ballistic annihilation; Self-similar solution
Vortical and self-similar flows of 2D compressible Euler equations
Keywords: راه حل مشابه خود; Vortex; Compressible Euler equations; Vortical solution; Self-similar solution; Time-periodic solution
Global existence and asymptotic properties of the solution to a two-species chemotaxis system
Keywords: راه حل مشابه خود; Two-species chemotaxis system; Global existence; Self-similar solution; Asymptotic profile
Long-time asymptotics for the porous medium equation: The spectrum of the linearized operator
Keywords: راه حل مشابه خود; Porous medium equation; Long-time asymptotics; Self-similar solution; Spectral analysis
Propagation of nonlinear acoustic waves in bimodular media with linear dissipation
Keywords: راه حل مشابه خود; Bimodular media; Nonanalytical nonlinearity; Self-similar solution;
Numerical investigations on self-similar solutions of the nonlinear diffusion equation
Keywords: راه حل مشابه خود; Thin film; Nonlinear multigrid method; Self-similar solution
The impact of iron content in oxidation front in soda-lime silicate glasses: An experimental and comparative study
Keywords: راه حل مشابه خود; Glass; Soda-lime silicate; Diffusion; Oxidation front; Oxidation–reduction; Self-similar solution
Self-similar flow behind a spherical shock wave in a non-ideal dusty gas under a gravitational field: Isothermal flow
Keywords: راه حل مشابه خود; Shock wave; Self-similar solution; Dusty gas; Gravitational field; Roche model
Approximate self-similar solutions for the boundary value problem arising in modeling of gas flow in porous media with pressure dependent permeability
Keywords: راه حل مشابه خود; Nonlinear equation; Gas flow through porous medium; Pressure dependent permeability; Exact solution; Self-similar solution; Approximate solution
Exact solutions of the simplified Keller–Segel model
Keywords: راه حل مشابه خود; Keller–Segel model; Traveling wave; Self-similar solution; Lie symmetry
Asymptotic behaviour of the doubly nonlinear diffusion equation ut=Δpumut=Δpum on bounded domains
Keywords: راه حل مشابه خود; 35B40; 35B45; 35B65; 35R35; 35K55; 35K65Doubly nonlinear equation; Slow diffusion; Asymptotic behaviour; Self-similar solution; Convergence rates
Similarity solutions for spreading of a two-dimensional non-Newtonian gravity current in a porous layer
Keywords: راه حل مشابه خود; Power-law; Porous medium; Gravity current; Self-similar solution;
Spherical shock wave generated by a moving piston in mixture of a non-ideal gas and small solid particles under a gravitational field
Keywords: راه حل مشابه خود; Shock wave; Piston problem; Self-similar solution; Dusty gas; Gravitational field; Roche model
Self-similar flow of a rotating dusty gas behind the shock wave with increasing energy, conduction and radiation heat flux
Keywords: راه حل مشابه خود; Self-similar solution; Isothermal shock; Rotating dusty gas; Conduction and radiation heat flux; Mechanics of fluids
Similarity solutions for flow of non-Newtonian fluids in porous media revisited under parameter uncertainty
Keywords: راه حل مشابه خود; Non-Newtonian; Porous medium; Self-similar solution; Sobol’ indices; Polynomial Chaos Expansion
Similarity solution for a cylindrical shock wave in a rotational axisymmetric dusty gas with heat conduction and radiation heat flux
Keywords: راه حل مشابه خود; Self-similar solution; Rotating dusty gas; Conduction and radiation heat flux; Mechanics of fluids
The role of forward self-similar solutions in the Cauchy problem for semilinear heat equations
Keywords: راه حل مشابه خود; 35K58; 35K15; 35B35Semilinear heat equation; Self-similar solution; Blow-up; Asymptotic behavior
From crystal steps to continuum laws: Behavior near large facets in one dimension
Keywords: راه حل مشابه خود; Crystal surface; Epitaxial relaxation; Self-similar solution; Burton-Cabrera-Frank (BCF) model; Facet; Macroscopic limit;
On self-similar solutions of semilinear wave equations in higher space dimensions
Keywords: راه حل مشابه خود; Self-similar solution; Semilinear wave equation; Singular boundary value problem;
Global solutions and self-similar solutions of semilinear parabolic equations with nonlinear gradient terms
Keywords: راه حل مشابه خود; 35K15; 35K55Semilinear parabolic equation; Cauchy problem; Self-similar solution; Asymptotically self-similar solution
A self-similar unsteady flow with conjugated heat transfer
Keywords: راه حل مشابه خود; Conjugated heat transfer; Unsteady flow; Self-similar solution
Long-time behaviour of solutions of a class of nonlinear parabolic equations
Keywords: راه حل مشابه خود; Long-time behaviour; Nonlinear parabolic equation; Travelling wave; Self-similar solution
Theory of singular vortex solutions of the nonlinear Schrödinger equation
Keywords: راه حل مشابه خود; 42.65.Jx; 42.65.-k; Nonlinear Schrödinger equation; Vortex; Supercritical; Critical; Self-similar solution; Singularity; Collapse; Ring profile; Blowup rate; Critical power; Power concentration;
Compatible differential constraints to an infinite chain of transport equations for cumulants
Keywords: راه حل مشابه خود; 76F02; 76F55; 76F60; 35Q35; 58J7047.27.E; 47.27.wb; 47.27.wj; 02.20.Sv; 02.30.IkDifferential constraints; Infinite chain of transport equations for cumulants; Invariant manifold; Momentumless turbulent plane wake; Self-similar solution
Singular ring solutions of critical and supercritical nonlinear Schrödinger equations
Keywords: راه حل مشابه خود; Nonlinear Schrödinger equation; Supercritical collapse; Self-similar solution; Singularity; Collapse; Ring profile; Blowup rate
Existence of type II blowup solutions for a semilinear heat equation with critical nonlinearity
Keywords: راه حل مشابه خود; 35K55; 35B33; 35J20Semilinear heat equation; Critical nonlinearity; Blowup rate; Type II blow up; Self-similar solution
Global solutions and self-similar solutions for nonlinear beam equations
Keywords: راه حل مشابه خود; Beam equations; Self-similar solution; Global existence
Self-similar solutions to a coagulation equation with multiplicative kernel
Keywords: راه حل مشابه خود; Coagulation; Self-similar solution; Gelation; Blow-up; Multiplicative kernel
A study of the collisional fragmentation problem using the Gamma distribution approximation
Keywords: راه حل مشابه خود; Population balance; Nonlinear fragmentation; Collisional fragmentation; Breakage; Moments method; Self-similar solution
Proof of a Spectral Property related to the singularity formation for the L2L2 critical nonlinear Schrödinger equation
Keywords: راه حل مشابه خود; Nonlinear Schrödinger equation; Self-similar solution; Singularity; Collapse; Log–log law