Keywords: راه حل های مشابه; Magneto-hydro-dynamic equations; Mild solutions; Implicit function theorem; Asymptotic stability; Self-similar solutions;
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Keywords: راه حل های مشابه; Navier-Stokes equations; Self-similar solutions; Lorentz space; Maximal regularity theorem; Global solutions; Implicit function theorem;
Keywords: راه حل های مشابه; Turbidity currents; Density flows; Shallow water flows; Conservation laws; Finite volumes; Travelling waves; Self-similar solutions; 76T10 (primary); 76T30; 65N08 (secondary);
Keywords: راه حل های مشابه; 35Q30; 76D03; Stationary Navier-Stokes equations; Asymptotic behavior; Self-similar solutions;
Keywords: راه حل های مشابه; Hyperbolic mean curvature flow; self-similar solutions; 35L10; 35C06;
Keywords: راه حل های مشابه; Binary alloy; Solidification; Moving substrate; Boundary-layer flow; Self-similar solutions
Keywords: راه حل های مشابه; Hasselmann equation; Wind-wave interaction; Wave-breaking dissipation; Nonlinear interaction; Self-similar solutions; Kolmogorov-Zakharov spectra;
Keywords: راه حل های مشابه; Lie symmetry analysis; Anomalous Doppler effect; Self-similar solutions; Pulse compression
Keywords: راه حل های مشابه; Two-phase flow; Saturation equation; Front solutions; Self-similar solutions; Travelling-wave solutions; Numerical stability
Existence and uniqueness theorem on mild solutions to the Keller–Segel system coupled with the Navier–Stokes fluid
Keywords: راه حل های مشابه; Keller–Segel system; Navier–Stokes equations; Asymptotic stability; Self-similar solutions; Existence of global mild solutions; Continuous dependence for the initial data
Rotational and self-similar solutions for the compressible Euler equations in R3R3
Keywords: راه حل های مشابه; Compressible Euler equations; Rotational solutions; Self-similar solutions; Symmetry reduction; Vortices; 3-dimension; Navier–Stokes equations
Existence, uniqueness and asymptotic behavior of the solutions to the fully parabolic Keller–Segel system in the plane
Keywords: راه حل های مشابه; 35B45; 35B60; 35B65; 35K15; 35Q92; 92C17; 92B05Chemotaxis; Parabolic system; Keller–Segel system; Global solutions; Long time asymptotic behavior; Self-similar solutions
Solutions of a system of forced Burgers equation
Keywords: راه حل های مشابه; Forced Burgers equation; Hermite functions; Self-similar solutions
Multiplicity of self-similar solutions for a critical equation
Keywords: راه حل های مشابه; Critical problems; Symmetric functionals; Self-similar solutions;
Heat and mass transfer in the liquid film on a vertical wall in roll-wave regime
Keywords: راه حل های مشابه; Heat and mass transfer; Condensation; Self-similar solutions; Falling film; Roll waves; Progressive waves;
Spatial similaritons in the (2+1)-dimensional inhomogeneous cubic-quintic nonlinear Schrödinger equation
Keywords: راه حل های مشابه; (2+1)-dimensional inhomogeneous cubic-quintic nonlinear Schrödinger equation; Self-similar solutions; Dynamic behaviors
Blowup and self-similar solutions for two-component drift–diffusion systems
Keywords: راه حل های مشابه; 35Q92; 35KChemotaxis; Generalized Keller–Segel model; Multicomponent systems; Blowup; Self-similar solutions; Asymptotics of solutions
Group properties and conservation laws for nonlocal shallow water wave equation
Keywords: راه حل های مشابه; Nonlocal shallow water wave equation; Lie symmetries; Conservation laws; Symmetry reductions; Optimal system; Self-similar solutions;
Soliton, rational and special solutions of the Korteweg-de Vries hierarchy
Keywords: راه حل های مشابه; Nonlinear evolution equation; Korteweg-de Vries equation; Korteweg-de Vries hierarchy; Soliton; Self-similar solutions; Rational solutions; First Painlevé hierarchy; Second Painlevé hierarchy;
Kinetics of the Bose–Einstein condensation
Keywords: راه حل های مشابه; Boltzmann–Nordheim equation; Self-similar solutions; Coupled condensate and normal fluid
Envelope self-similar solutions for the nonautonomous and inhomogeneous nonlinear Schrödinger equation
Keywords: راه حل های مشابه; Self-similar solutions; Nonlinear Schrödinger equation
Asymptotically self-similar solutions of the damped wave equation
Keywords: راه حل های مشابه; 35B40; 35C20; 35L05; 35B30Damped wave equation; Self-similar variables; Asymptotic behavior; Self-similar solutions
On a class of nonlinear elliptic equations with fast increasing weight and critical growth
Keywords: راه حل های مشابه; Critical problems; Self-similar solutions; Positive solutions; Nodal solutions;
Self-similar solutions to a generalized Davey–Stewartson system
Keywords: راه حل های مشابه; Davey–Stewartson system; Global solvability; Self-similar solutions
Similarity solutions for a multi-dimensional replicator dynamics equation
Keywords: راه حل های مشابه; Replicator dynamics problem; Self-similar solutions; Nonlinear degenerate parabolic PDE with a nonlocal term; Laplacian
Re-entrant corner flow for PTT fluids in the natural stress basis
Keywords: راه حل های مشابه; Phan–Thien–Tanner (PTT); Re-entrant corner; Boundary layers; Self-similar solutions; Stress singularity; Natural stress basis
Viscoelastic sink flow in a wedge for the UCM and Oldroyd-B models
Keywords: راه حل های مشابه; UCM model; Oldroyd-B model; Wedge flow; Elastic boundary layers; Self-similar solutions;
Re-entrant corner flows of UCM fluids: The natural stress basis
Keywords: راه حل های مشابه; UCM fluid; Re-entrant corner; Boundary layer; Self-similar solutions; Natural stress basis
Re-entrant corner flows of UCM fluids: The Cartesian stress basis
Keywords: راه حل های مشابه; UCM fluid; Re-entrant corner; Boundary layer; Self-similar solutions; Natural stress basis;
General relative entropy inequality: an illustration on growth models
Keywords: راه حل های مشابه; 35B40; 35B10; 82C21; 92B05; 92D25; Relative entropy; Fragmentation equations; Cell division; Self-similar solutions; Periodic solutions; Long time asymptotic;
On self-similarity and stationary problem for fragmentation and coagulation models
Keywords: راه حل های مشابه; 82C40; 60J75; Equilibrium; No detailed balance condition; Poincaré-Bendixson's Theory; Tykonov fixed point theorem; Self-similar solutions; Uniqueness; Existence; Convergence to self-similarity;